What is the Least Common Multiple of 66612 and 66627?

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 66612 and 66627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66612 and 66627, than apply into the LCM equation.

GCF(66612,66627) = 3
LCM(66612,66627) = ( 66612 × 66627) / 3
LCM(66612,66627) = 4438157724 / 3
LCM(66612,66627) = 1479385908

Least Common Multiple (LCM) of 66612 and 66627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66612 and 66627. First we will calculate the prime factors of 66612 and 66627.

Prime Factorization of 66612

Prime Factorization of 66627

Now multiplying the highest exponent prime factors to calculate the LCM of 66612 and 66627.

LCM(66612,66627) = 2² × 3² × 7¹ × 13¹ × 61¹ × 11¹ × 673¹
LCM(66612,66627) = 1479385908