What is the Least Common Multiple of 57612 and 57627?

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 57612 and 57627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57612 and 57627, than apply into the LCM equation.

GCF(57612,57627) = 3
LCM(57612,57627) = ( 57612 × 57627) / 3
LCM(57612,57627) = 3320006724 / 3
LCM(57612,57627) = 1106668908

Least Common Multiple (LCM) of 57612 and 57627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57612 and 57627. First we will calculate the prime factors of 57612 and 57627.

Prime Factorization of 57612

Prime Factorization of 57627

Now multiplying the highest exponent prime factors to calculate the LCM of 57612 and 57627.

LCM(57612,57627) = 2² × 3² × 4801¹ × 19¹ × 337¹
LCM(57612,57627) = 1106668908