What is the Least Common Multiple of 27612 and 27627?

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 27612 and 27627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27612 and 27627, than apply into the LCM equation.

GCF(27612,27627) = 3
LCM(27612,27627) = ( 27612 × 27627) / 3
LCM(27612,27627) = 762836724 / 3
LCM(27612,27627) = 254278908

Least Common Multiple (LCM) of 27612 and 27627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27612 and 27627. First we will calculate the prime factors of 27612 and 27627.

Prime Factorization of 27612

Prime Factorization of 27627

Now multiplying the highest exponent prime factors to calculate the LCM of 27612 and 27627.

LCM(27612,27627) = 2² × 3² × 13¹ × 59¹ × 9209¹
LCM(27612,27627) = 254278908