What is the Least Common Multiple of 15252 and 15264?

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 of 15252 and 15264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15252 and 15264, than apply into the LCM equation.

GCF(15252,15264) = 12
LCM(15252,15264) = ( 15252 × 15264) / 12
LCM(15252,15264) = 232806528 / 12
LCM(15252,15264) = 19400544

Least Common Multiple (LCM) of 15252 and 15264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15252 and 15264. First we will calculate the prime factors of 15252 and 15264.

Prime Factorization of 15252

Prime Factorization of 15264

Now multiplying the highest exponent prime factors to calculate the LCM of 15252 and 15264.

LCM(15252,15264) = 2⁵ × 3² × 31¹ × 41¹ × 53¹
LCM(15252,15264) = 19400544