Least Common Multiplier (LCM) Calculator

Least Common Multiple Calculator

Please fill in at least two numbers:
n1: n2: n3:   n4:  
Answer:

Use this calculator to find the Least Common Multiple (LCM) for up to 3 mumbers.

How to find the Least Common Multiple (LCM)

Definition

The least common multiple (LCM) of a set of numbers is the lowest positive number that is a multiple of every number in that set.

Supose you want to find the Least Common Multiple (LCM) for 6 and 8, notation LCM(6,8):

The LCM of 6 and 8 is 24 because 24 is the smallest number that is both a multiple of 6 and a multiple of 8. This calculator uses the listing multiples method. This method consisits of writing out a list of the lowest multiples of each number, and look for the lowest multiple both numbers have in common. In this example we have:

  • Multiples of 6: 6, 12, 18, 24. Note that 6 = 6 x 1, 12 = 6 x 2, 18 = 6 x 3, 24 = 6 x 4, 30 = 6 x 5
  • Multiples of 8: 8, 16, 24. Also note that 8 = 8 x1, 16 = 8 x 2, 24 = 8 x 3, 32 = 8 x 4, ...
Because 24 is the first (lowest) number to appear on both lists of multiples, 24 is the LCM of 6 and 8.

The LCM is also known as:

  • lowest common multiple
  • smallest common multiple

Least Common Multiplier Calculator

Least Common Multiplier Calculator

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Disclaimer

While every effort is made to ensure the accuracy of the information provided on this website, neither this website nor its authors are responsible for any errors or omissions. Therefore, the contents of this site are not suitable for any use involving risk to health, finances or property.