What is the Least Common Multiple of 57604 and 57612?

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 57604 and 57612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57604 and 57612, than apply into the LCM equation.

GCF(57604,57612) = 4
LCM(57604,57612) = ( 57604 × 57612) / 4
LCM(57604,57612) = 3318681648 / 4
LCM(57604,57612) = 829670412

Least Common Multiple (LCM) of 57604 and 57612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57604 and 57612. First we will calculate the prime factors of 57604 and 57612.

Prime Factorization of 57604

Prime Factorization of 57612

Now multiplying the highest exponent prime factors to calculate the LCM of 57604 and 57612.

LCM(57604,57612) = 2² × 14401¹ × 3¹ × 4801¹
LCM(57604,57612) = 829670412