如何计算LCM

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The Least Common Multiple (LCM) is the smallest positive integer divisible by two or more given numbers. Used for adding fractions with different denominators, scheduling problems, and finding repeating patterns.

分步指南

1. 1LCM(a,b) = |a × b| / GCF(a,b)
2. 2Prime factorization: take all prime factors with highest powers
3. 3LCM(4,6) = 12 → 4=2², 6=2×3, LCM = 2²×3 = 12
4. 4LCM of coprime numbers (GCF=1) = their product

例题解析