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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.

Водич чекор-по-чекор

  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

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

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