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Least Common Multiple is a tool that allows you to easily find the "Least Common Multiple" and "Common Factor" of multiple specified values. Just enter two or more numbers into this tool and the "Least Common Multiple" and "Common Factor (up to 10)" will be automatically displayed.

Least common multiple
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Common multiple (up to 10)
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How to use

  1. Enter two or more "values".
  2. The "least common multiple" and "common multiple" will be displayed automatically. Masu.

What is the least common multiple?

The least common multiple (LCM) is the smallest positive integer that is a common multiple of two or more numbers.

Definition

  • A multiple is the result of multiplying a number by an integer.
  • The least common multiple is the common multiple among multiples of two or more numbers. The smallest of the.

How to find the least common multiple

Method 1. Use prime factorization

Below is an example of finding the least common multiple of 12 and 18.

Steps

  1. Factorize each number into prime factors.
    2. 12
    =
    22
    ×
    31
    18
    =
    21
    ×
    32
  2. For each prime factor, choose the largest power.
    3. 22
    ×
    3 2
  3. Multiply by the power of your choice.

Calculate the least common multiple (LCM)

LCM = 22< /sup> × 32 = 4 × 9 = 36

Method 2. Use the greatest common factor

Use the formula below This shows how to find the least common multiple of 12 and 18.

Formula

LCM(a, b) = |a × b| ÷ GCD( a, b)

12 and 18

  1. Find the greatest common denominator (GCD).
    GCD(12, 18) = 6
  2. Substitute into the formula.
    3. LCM(12, 18) = |12 × 18| ÷ 6 = 216 ÷ 6 = 36

Notes

This tool is available for free.

※This program is created and confirm the operation in PHP8.1.22.
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