What is the Least Common Multiple of 57625 and 57636?

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 57625 and 57636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57625 and 57636, than apply into the LCM equation.

GCF(57625,57636) = 1
LCM(57625,57636) = ( 57625 × 57636) / 1
LCM(57625,57636) = 3321274500 / 1
LCM(57625,57636) = 3321274500

Least Common Multiple (LCM) of 57625 and 57636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57625 and 57636. First we will calculate the prime factors of 57625 and 57636.

Prime Factorization of 57625

Prime Factorization of 57636

Now multiplying the highest exponent prime factors to calculate the LCM of 57625 and 57636.

LCM(57625,57636) = 5³ × 461¹ × 2² × 3² × 1601¹
LCM(57625,57636) = 3321274500