LCM Calculator

How to Calculate LCM?

The Least Common Multiple (LCM) is the smallest positive integer that is divisible by two or more numbers. It's useful for finding common denominators in fractions and solving various mathematical problems.

Finding LCM of Multiple Numbers:

• Find the LCM of the first two numbers
• Use that result to find the LCM with the next number
• Continue until all numbers are processed

LCM(12, 18, 24) = 72

Finding LCM using Prime Factorization:

• Find the prime factors of each number
• Take the highest power of each prime factor
• Multiply all the prime factors together

12 = 2² × 3

18 = 2 × 3²

LCM(12, 18) = 2² × 3² = 36

Finding LCM using GCF:

• Use the relationship: LCM(a, b) = (a × b) / GCF(a, b)
• This method is efficient for two numbers

LCM(a, b) = (a × b) / GCF(a, b)

LCM(12, 18) = (12 × 18) / 6 = 216 / 6 = 36

Common LCM examples