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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.
Przewodnik krok po kroku
- 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
Rozwiązane przykłady
Wejście
LCM(4, 6)
Wynik
12
Smallest number divisible by both 4 and 6
Wejście
LCM(12, 18, 24)
Wynik
72
Used to add 1/12 + 1/18 + 1/24
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