Least Common Multiple Calculator

Find the LCM of two or more numbers.

Enter Numbers

2 valid numbers: 12, 18

About LCM

The Least Common Multiple (LCM) is the smallest number that is divisible by all given numbers.

Formula:

LCM(a, b) = |a × b| / GCF(a, b)

Example:

LCM(12, 18):

12 = 2² × 3
18 = 2 × 3²
LCM = 2² × 3² = 36

Common Uses:

  • Finding common denominators
  • Scheduling (when events align)
  • Music theory (beat patterns)

Related Calculators

LCM Result
LCM(12, 18)
Least Common Multiple36
Using GCF Method

Starting with 12

LCM(12, 18) = (12 × 18) / GCF(12, 18)

= 216 / 6 = 36

Prime Factor Method

LCM = 2^2 × 3^2 = 36