What is the Least Common Multiple of 57264 and 57272?

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 57264 and 57272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57264 and 57272, than apply into the LCM equation.

GCF(57264,57272) = 8
LCM(57264,57272) = ( 57264 × 57272) / 8
LCM(57264,57272) = 3279623808 / 8
LCM(57264,57272) = 409952976

Least Common Multiple (LCM) of 57264 and 57272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57264 and 57272. First we will calculate the prime factors of 57264 and 57272.

Prime Factorization of 57264

Prime Factorization of 57272

Now multiplying the highest exponent prime factors to calculate the LCM of 57264 and 57272.

LCM(57264,57272) = 2⁴ × 3¹ × 1193¹ × 7159¹
LCM(57264,57272) = 409952976