MHz to kHz Converter
Welcome to the comprehensive Megahertz to Kilohertz frequency converter designed to help engineers, radio professionals, students, and anyone working with frequencies perform accurate conversions between MHz and kHz with instant calculations and detailed mathematical formulas.
Frequency Converter Tool
Megahertz
Kilohertz
1 MHz = 1000 kHz
MHz to kHz Conversion Formula
Simple Conversion Formula
\[ \text{kHz} = \text{MHz} \times 1000 \]
Multiply Megahertz by 1000 to get Kilohertz
Alternative Scientific Notation
\[ \text{kHz} = \text{MHz} \times 10^{3} \]
Multiply Megahertz by 10³ to get Kilohertz
Understanding Frequency Units
What is Megahertz (MHz)?
Megahertz (MHz) is a metric unit of frequency equal to one million Hertz (1,000,000 Hz) or 1,000 Kilohertz. The prefix "mega" means million, making MHz particularly useful for expressing radio frequencies, FM broadcasting, VHF/UHF communications, and RF applications. FM radio broadcasts in MHz (88-108 MHz), older processors used MHz speeds, and many wireless technologies operate in the megahertz range. One megahertz means one million complete oscillations or cycles occur every second.
What is Kilohertz (kHz)?
Kilohertz (kHz) is a metric unit of frequency equal to 1,000 Hertz. The prefix "kilo" means thousand, making kHz useful for expressing mid-range frequencies. AM radio broadcasts in kHz (540-1,700 kHz), audio sampling rates use kHz (44.1 kHz, 48 kHz), and many electronic circuits and signals operate in the kilohertz range. One kilohertz means 1,000 complete oscillations or cycles occur every second.
The Metric Relationship
MHz and kHz follow the standard metric system where each prefix represents a power of 10. The relationship is: 1 MHz = 1,000 kHz = 1,000,000 Hz. This follows the metric progression: Hz → kHz (×1,000) → MHz (×1,000) → GHz (×1,000). Understanding this thousand-to-one relationship is essential for working with radio frequencies, audio engineering, telecommunications, and understanding frequency specifications across different measurement scales.
Step-by-Step Conversion Process
Example 1: Convert 100 MHz to kHz (FM Radio)
Using the formula:
kHz = MHz × 1000
kHz = 100 × 1000
kHz = 100,000
Result: 100 MHz = 100,000 kHz
Mid-range FM radio station frequency
Example 2: Convert 1.7 MHz to kHz (AM Radio Upper Limit)
Using the formula:
kHz = 1.7 × 1000
kHz = 1,700
Result: 1.7 MHz = 1,700 kHz
Upper limit of AM radio band
Common Frequency Conversions
| Megahertz (MHz) | Kilohertz (kHz) | Application |
|---|---|---|
| 0.54 MHz | 540 kHz | AM radio lower limit |
| 1 MHz | 1,000 kHz | 1000 on AM dial |
| 1.7 MHz | 1,700 kHz | AM radio upper limit |
| 10 MHz | 10,000 kHz | Shortwave radio |
| 44.1 MHz | 44,100 kHz | 1000× CD sampling rate |
| 88 MHz | 88,000 kHz | FM radio lower end |
| 100 MHz | 100,000 kHz | FM radio mid-range |
| 108 MHz | 108,000 kHz | FM radio upper end |
kHz to MHz Conversion (Reverse)
Reverse Conversion Formula
\[ \text{MHz} = \frac{\text{kHz}}{1000} \]
Divide Kilohertz by 1000 to get Megahertz
Why Convert Between MHz and kHz?
Practical Reasons for Conversion
- Radio Specifications: AM radio uses kHz, FM radio uses MHz
- Frequency Range Understanding: Comparing frequencies across different bands
- Technical Documentation: Converting between different specification standards
- Equipment Compatibility: Understanding frequency overlap between systems
- Education: Teaching frequency relationships and radio spectrum organization
- Precision: Some applications require kHz precision even in MHz range
When to Use Each Unit
- Use kHz: AM radio (540-1,700 kHz), audio sampling rates, low-frequency applications
- Use MHz: FM radio (88-108 MHz), VHF/UHF communications, shortwave (expressed both ways)
- Context matters: Choose the unit that produces the most readable numbers
- Industry standards: Follow conventions of your specific field
Practical Applications
Radio Broadcasting Spectrum
Radio broadcasting illustrates the MHz-kHz relationship perfectly. AM radio operates from 540-1,700 kHz (0.54-1.7 MHz), using medium wave frequencies. FM radio broadcasts at 88-108 MHz (88,000-108,000 kHz), using VHF frequencies. Shortwave radio spans 3-30 MHz (3,000-30,000 kHz). Converting between units helps understand the full spectrum—AM and FM don't overlap, with FM operating at much higher frequencies. This frequency separation is why AM and FM require different receiver circuits and antennas.
RF Engineering and Circuit Design
RF engineers frequently convert between MHz and kHz when designing circuits that operate across multiple frequency ranges. A receiver might cover 0.5-30 MHz (500-30,000 kHz), requiring understanding of both units. Filter specifications, antenna calculations, and component selection depend on precise frequency values. Some datasheets specify in MHz, others in kHz. Converting fluently between units ensures accurate calculations and proper component selection for the target frequency range.
Frequency Allocation and Spectrum Management
Regulatory agencies allocate frequency bands using both MHz and kHz notations. The FCC might allocate AM stations in kHz (540-1700 kHz) and FM stations in MHz (88-108 MHz). International frequency allocation tables use the most appropriate unit for each band. Understanding conversions helps engineers navigate spectrum allocations, avoid interference, and design systems that comply with regulations. Frequency coordination often requires converting between units to identify available channels.
Frequency Band Comparison
| Band | kHz Range | MHz Range | Primary Use |
|---|---|---|---|
| MF (Medium) | 300-3,000 kHz | 0.3-3 MHz | AM radio, maritime |
| HF (High) | 3,000-30,000 kHz | 3-30 MHz | Shortwave, amateur radio |
| VHF (Very High) | 30,000-300,000 kHz | 30-300 MHz | FM radio, TV, aviation |
Common Questions
How do I convert MHz to kHz quickly?
Multiply by 1,000, which means adding three zeros or moving the decimal point three places to the right. For example: 1 MHz = 1,000 kHz, 100 MHz = 100,000 kHz, 0.54 MHz = 540 kHz. For the reverse (kHz to MHz), divide by 1,000 by moving the decimal three places left. This mental shortcut works because "mega" (million) is exactly 1,000 times larger than "kilo" (thousand). With practice, these conversions become automatic.
Why does AM radio use kHz while FM uses MHz?
It's purely conventional based on convenient numbering. AM radio frequencies (540-1,700 kHz) are clean numbers in kHz but would be awkward decimals in MHz (0.54-1.7 MHz). FM radio frequencies (88-108 MHz) are clean numbers in MHz but would be unwieldy in kHz (88,000-108,000 kHz). Each band uses the unit that produces the most convenient, readable numbers. Technically, both units are valid for both bands—it's about readability and established convention.
Is 1000 kHz exactly the same as 1 MHz?
Yes, 1,000 kHz equals exactly 1 MHz—this is a precise mathematical relationship, not an approximation. Similarly, 1,700 kHz = 1.7 MHz exactly, and 100,000 kHz = 100 MHz exactly. The metric system defines these relationships precisely. Some AM radio stations broadcast at "1000 on your dial," which is 1000 kHz or exactly 1 MHz. This precision is essential for frequency allocation and avoiding interference between adjacent stations.
Can I express FM radio frequencies in kHz?
Yes, mathematically you can express FM radio in kHz—100 MHz = 100,000 kHz. However, using kHz for FM creates unwieldy numbers (88,000-108,000 kHz) and goes against industry convention. Everyone in radio broadcasting understands "100 MHz" instantly, while "100,000 kHz" would be unusual and potentially confusing. Follow industry conventions: use kHz for AM radio and lower frequencies, MHz for FM radio and higher frequencies. The choice is about clarity and professional communication.
What about shortwave radio—MHz or kHz?
Shortwave radio (3-30 MHz or 3,000-30,000 kHz) is expressed in both units depending on context. Radio enthusiasts often use meters (wavelength bands: 120m, 90m, 60m, etc.) alongside MHz. Technical specs might use MHz, while frequency lists sometimes use kHz for precision. Both "7.200 MHz" and "7,200 kHz" refer to the same frequency in the 40-meter amateur band. The dual notation is acceptable in shortwave because frequencies span a range where both units produce reasonable numbers.
Quick Reference Guide
Mental Conversion Tips
- MHz to kHz: Move decimal three places right (1 MHz → 1,000 kHz)
- Add three zeros: 100 MHz = 100,000 kHz (add three zeros)
- Quick multiplication: 1.7 MHz × 1000 = 1,700 kHz
- Decimal trick: 0.54 MHz = 540 kHz (move decimal three places right)
Common Conversion Mistakes to Avoid
- Wrong multiplier: Use 1,000, not 100 or 10,000
- Decimal placement: Count three places when moving decimal
- Unit confusion: 1 MHz = 1,000 kHz, not 100 or 10,000
- Missing zeros: 1 MHz = 1,000 kHz (three zeros)
- Convention errors: Use appropriate unit for the frequency range
Why Choose RevisionTown Resources?
RevisionTown is committed to providing accurate, user-friendly calculators and educational resources across diverse topics. While we specialize in mathematics education for curricula like IB, AP, GCSE, and IGCSE, we also create practical tools for technical applications like this MHz to kHz converter.
Our converter combines mathematical precision with instant calculations and comprehensive explanations to help students, engineers, radio professionals, and anyone working with frequencies understand and apply frequency conversions effectively in radio, telecommunications, and RF engineering.
About the Author
Adam
Co-Founder at RevisionTown
Math Expert specializing in various curricula including IB, AP, GCSE, IGCSE, and more
Adam brings extensive experience in mathematics education and creating practical educational tools. As co-founder of RevisionTown, he combines analytical precision with user-focused design to develop calculators and resources that serve students, professionals, and individuals across various domains. His commitment to accuracy and clarity extends to all RevisionTown projects, ensuring users receive reliable, easy-to-understand information for their needs.
Note: This MHz to kHz converter uses the standard metric conversion: 1 MHz = 1,000 kHz. The conversion is exact and follows the SI metric system where "mega" means million and "kilo" means thousand. To convert MHz to kHz, multiply by 1,000. To convert kHz to MHz, divide by 1,000. This conversion is essential in radio engineering, telecommunications, and understanding frequency relationships. Use kHz for AM radio and lower frequencies, MHz for FM radio and higher frequencies. Both units are valid mathematically, but industry conventions favor the unit that produces the most readable numbers for each frequency range.






