Least Common Multiple Calculator - Calculator See


Least Common Multiple Calculator

Calculate the Least Common Multiple (LCM / LCD) of integers using prime factorization and Euclidean GCD methods.

Calculator Inputs

Enter two or more positive integers.

Calculated Results

Least Common Multiple (LCM)
60
Greatest Common Factor (GCF) 4
Product of Numbers 240
Prime Factorization of LCM 2^2 x 3 x 5
Values calculate live as you adjust inputs.

About Least Common Multiple Calculator

The Least Common Multiple (LCM) is the smallest positive integer that is divisible by all integers in the set without leaving a remainder.

What is Least Common Multiple Calculator?

The Least Common Multiple (LCM) is the smallest positive integer that is divisible by all integers in the set without leaving a remainder.

How to Use This Calculator

  1. Enter numbers separated by commas (e.g. 12, 20 or 8, 12, 18).
  2. View computed LCM and prime factorization.

The Mathematical Formula & Variables

LCM(a, b) = (a * b) / GCD(a, b)

Step-by-Step Worked Example

Scenario: Find LCM of 12 and 20.

  1. Prime factors of 12 = 2^2 * 3.
  2. Prime factors of 20 = 2^2 * 5.
  3. LCM takes highest power of all primes: 2^2 * 3 * 5 = 4 * 3 * 5 = 60.

Result: 60

Frequently Asked Questions

Where is LCM used in everyday math?

LCM is used to find the Lowest Common Denominator (LCD) when adding or subtracting fractions with different denominators.