LCM Calculator

Find the Least Common Multiple (LCM) of two or more numbers with full prime factorisation and step-by-step working shown.

What Does This Tool Do?

Find the Least Common Multiple of two or more numbers using the GCD-based method, with prime factorisation shown so you can understand and verify the result.

Key Features

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Multiple Numbers
Find LCM of 2 or more integers at once.
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Prime Factors
Factorisation of each number shown.
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Instant
Results immediately.
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Steps
GCD-based method explained.

How to Use

  1. Enter 2 or more positive integers, separated by commas or spaces.
  2. Click Calculate LCM.
  3. Read the result and prime factorisation.

Frequently Asked Questions

What is LCM?▾
The Least Common Multiple of integers is the smallest positive integer divisible by all of them. E.g. LCM(12, 18) = 36.
What is LCM used for?▾
Adding fractions (finding common denominator), scheduling recurring events, and number theory problems.
How is LCM calculated?▾
LCM(a, b) = |a × b| / GCD(a, b). For more numbers, apply iteratively: LCM(a, b, c) = LCM(LCM(a, b), c).