What is the Least Common Multiple of 6627 and 6636?

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 6627 and 6636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6627 and 6636, than apply into the LCM equation.

GCF(6627,6636) = 3
LCM(6627,6636) = ( 6627 × 6636) / 3
LCM(6627,6636) = 43976772 / 3
LCM(6627,6636) = 14658924

Least Common Multiple (LCM) of 6627 and 6636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6627 and 6636. First we will calculate the prime factors of 6627 and 6636.

Prime Factorization of 6627

Prime Factorization of 6636

Now multiplying the highest exponent prime factors to calculate the LCM of 6627 and 6636.

LCM(6627,6636) = 3¹ × 47² × 2² × 7¹ × 79¹
LCM(6627,6636) = 14658924