What is the Least Common Multiple of 3657 and 3675?

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 3657 and 3675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3657 and 3675, than apply into the LCM equation.

GCF(3657,3675) = 3
LCM(3657,3675) = ( 3657 × 3675) / 3
LCM(3657,3675) = 13439475 / 3
LCM(3657,3675) = 4479825

Least Common Multiple (LCM) of 3657 and 3675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3657 and 3675. First we will calculate the prime factors of 3657 and 3675.

Prime Factorization of 3657

Prime Factorization of 3675

Now multiplying the highest exponent prime factors to calculate the LCM of 3657 and 3675.

LCM(3657,3675) = 3¹ × 23¹ × 53¹ × 5² × 7²
LCM(3657,3675) = 4479825