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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.
단계별 가이드
- 1LCM(a,b) = |a × b| / GCF(a,b)
- 2Prime factorization: take all prime factors with highest powers
- 3LCM(4,6) = 12 → 4=2², 6=2×3, LCM = 2²×3 = 12
- 4LCM of coprime numbers (GCF=1) = their product
풀어진 예시
입력
LCM(4, 6)
결과
12
Smallest number divisible by both 4 and 6
입력
LCM(12, 18, 24)
결과
72
Used to add 1/12 + 1/18 + 1/24
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