# Least Common Multiple of 252 and 252

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 252 and 252 is 252.

LCM(252,252) = 252

LCM Calculator and

## Least Common Multiple of 252 and 252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 252 and 252, than apply into the LCM equation.

GCF(252,252) = 252
LCM(252,252) = ( 252 × 252) / 252
LCM(252,252) = 63504 / 252
LCM(252,252) = 252

## Least Common Multiple (LCM) of 252 and 252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 252 and 252. First we will calculate the prime factors of 252 and 252.

### Prime Factorization of 252

Prime factors of 252 are 2, 3, 7. Prime factorization of 252 in exponential form is:

252 = 22 × 32 × 71

### Prime Factorization of 252

Prime factors of 252 are 2, 3, 7. Prime factorization of 252 in exponential form is:

252 = 22 × 32 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 252 and 252.

LCM(252,252) = 22 × 32 × 71
LCM(252,252) = 252