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Understanding LCM

Basic Concepts

  • Smallest multiple of all numbers
  • Must be positive
  • Related to GCD
  • LCM(a,b) × GCD(a,b) = |a × b|

Methods

  • Prime factorization
  • GCD method
  • Listing multiples
  • Division method

Applications

  • Fractions (common denominators)
  • Scheduling problems
  • Gear ratios
  • Pattern repetition