# Least Common Multiple of 216 and 225

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 216 and 225 is 5400.

LCM(216,225) = 5400

LCM Calculator and

## Least Common Multiple of 216 and 225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 216 and 225, than apply into the LCM equation.

GCF(216,225) = 9
LCM(216,225) = ( 216 × 225) / 9
LCM(216,225) = 48600 / 9
LCM(216,225) = 5400

## Least Common Multiple (LCM) of 216 and 225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 216 and 225. First we will calculate the prime factors of 216 and 225.

### Prime Factorization of 216

Prime factors of 216 are 2, 3. Prime factorization of 216 in exponential form is:

216 = 23 × 33

### Prime Factorization of 225

Prime factors of 225 are 3, 5. Prime factorization of 225 in exponential form is:

225 = 32 × 52

Now multiplying the highest exponent prime factors to calculate the LCM of 216 and 225.

LCM(216,225) = 23 × 33 × 52
LCM(216,225) = 5400