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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.

Пошаговое руководство

  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

Решённые примеры

Ввод
LCM(4, 6)
Результат
12
Smallest number divisible by both 4 and 6
Ввод
LCM(12, 18, 24)
Результат
72
Used to add 1/12 + 1/18 + 1/24

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