What is the Least Common Multiple of 36657 and 36675?

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 36657 and 36675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36657 and 36675, than apply into the LCM equation.

GCF(36657,36675) = 9
LCM(36657,36675) = ( 36657 × 36675) / 9
LCM(36657,36675) = 1344395475 / 9
LCM(36657,36675) = 149377275

Least Common Multiple (LCM) of 36657 and 36675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36657 and 36675. First we will calculate the prime factors of 36657 and 36675.

Prime Factorization of 36657

Prime Factorization of 36675

Now multiplying the highest exponent prime factors to calculate the LCM of 36657 and 36675.

LCM(36657,36675) = 3² × 4073¹ × 5² × 163¹
LCM(36657,36675) = 149377275