LCM Calculator
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About LCM (Least Common Multiple)
The Least Common Multiple (LCM) of two or more numbers is the smallest positive number that is divisible by all the given numbers.
Methods to Find LCM:
1. Using GCD Formula
LCM(a,b) = (a × b) ÷ GCD(a,b)
This is the most efficient method for two numbers.
2. Listing Multiples
List multiples of each number until you find the first common one.
Good for smaller numbers and understanding the concept.
Examples:
- LCM(6, 8) = 24 (multiples of 6: 6,12,18,24... multiples of 8: 8,16,24...)
- LCM(12, 15) = 60
- LCM(7, 9) = 63 (since 7 and 9 are coprime, LCM = 7 × 9)
Uses of LCM:
- Adding and subtracting fractions with different denominators
- Solving problems involving repeating patterns
- Finding when periodic events coincide
- Scheduling and timing problems