What is the Least Common Multiple of 6612 and 6627?

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 6612 and 6627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6612 and 6627, than apply into the LCM equation.

GCF(6612,6627) = 3
LCM(6612,6627) = ( 6612 × 6627) / 3
LCM(6612,6627) = 43817724 / 3
LCM(6612,6627) = 14605908

Least Common Multiple (LCM) of 6612 and 6627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6612 and 6627. First we will calculate the prime factors of 6612 and 6627.

Prime Factorization of 6612

Prime Factorization of 6627

Now multiplying the highest exponent prime factors to calculate the LCM of 6612 and 6627.

LCM(6612,6627) = 2² × 3¹ × 19¹ × 29¹ × 47²
LCM(6612,6627) = 14605908