LCM Calculator
Find the Least Common Multiple of two or more numbers
About Least Common Multiple
What is LCM?
The Least Common Multiple (LCM) is the smallest positive integer that is divisible by two or more numbers. It's useful for finding common denominators and solving problems involving periodic events.
Methods to Find LCM:
- Listing Multiples: List multiples until finding the first common one
- Prime Factorization: Use the highest power of each prime factor
- Formula Method: LCM(a,b) = |a × b| / GCF(a,b)
Example:
Find LCM of 4 and 6:
- Multiples of 4: 4, 8, 12, 16, 20, ...
- Multiples of 6: 6, 12, 18, 24, ...
- LCM = 12 (first common multiple)
Relationship with GCF:
For any two numbers: LCM × GCF = Product of the numbers
Example: For 4 and 6: LCM(4,6) = 12, GCF(4,6) = 2
12 × 2 = 24 = 4 × 6 ✓
Applications:
- Finding common denominators for fractions
- Adding and subtracting fractions
- Scheduling periodic events
- Gear ratio calculations
About This Calculator
Frequently Asked Questions
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