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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.

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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

Worked Examples