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Least Common Multiple

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Least Common Multiple

The Least Common Multiple (LCM) is the smallest number that two or more numbers will divide into evenly.
How to find the Least Common Multiple of two numbers:


  • Find the Greatest Common Factor (GCF) of the numbers
  • Multiply the numbers together
  • Divide the product of the numbers by the GCF.
Example: Find the LCM of 15 and 12
  • Determine the Greatest Common Factor of 15 and 12 which is 3
  • Either multiply the numbers and divide by the GCF (15*12=180, 180/3=60)
  • OR - Divide one of the numbers by the GCF and multiply the answer times the other number (15/3=5, 5*12=60)
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