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LCM Calculator

Find the least common multiple of two or more numbers, with prime factorization steps.

Enter your values to see the result.

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Clear instructions

Find steps, examples and limitations below.

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Free to use

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How to use the LCM Calculator

Find the least common multiple of two or more numbers, with prime factorization steps.

  1. 1 Enter two or more whole numbers separated by commas or spaces.
  2. 2 Read the LCM at the top.
  3. 3 Check the prime factors to see how it is built.

Example and practical tips

Buses leave every 12, 18 and 30 minutes. The LCM of 12, 18 and 30 is 180, so they all leave together every 3 hours.

Frequently asked questions

How is the LCM found?

Take every prime factor at its highest power in any number: 12 = 2² × 3, 18 = 2 × 3², 30 = 2 × 3 × 5, so LCM = 2² × 3² × 5 = 180.

Where is the LCM used?

Finding common denominators for fractions and scheduling repeating events are the most common uses.

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