What is the Least Common Multiple of 73612 and 73627?

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 73612 and 73627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73612 and 73627, than apply into the LCM equation.

GCF(73612,73627) = 1
LCM(73612,73627) = ( 73612 × 73627) / 1
LCM(73612,73627) = 5419830724 / 1
LCM(73612,73627) = 5419830724

Least Common Multiple (LCM) of 73612 and 73627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73612 and 73627. First we will calculate the prime factors of 73612 and 73627.

Prime Factorization of 73612

Prime Factorization of 73627

Now multiplying the highest exponent prime factors to calculate the LCM of 73612 and 73627.

LCM(73612,73627) = 2² × 7¹ × 11¹ × 239¹ × 17¹ × 61¹ × 71¹
LCM(73612,73627) = 5419830724