What is the Least Common Multiple of 36612 and 36627?

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 36612 and 36627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36612 and 36627, than apply into the LCM equation.

GCF(36612,36627) = 3
LCM(36612,36627) = ( 36612 × 36627) / 3
LCM(36612,36627) = 1340987724 / 3
LCM(36612,36627) = 446995908

Least Common Multiple (LCM) of 36612 and 36627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36612 and 36627. First we will calculate the prime factors of 36612 and 36627.

Prime Factorization of 36612

Prime Factorization of 36627

Now multiplying the highest exponent prime factors to calculate the LCM of 36612 and 36627.

LCM(36612,36627) = 2² × 3⁴ × 113¹ × 29¹ × 421¹
LCM(36612,36627) = 446995908