What is the Least Common Multiple of 18612 and 18623?

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 18612 and 18623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18612 and 18623, than apply into the LCM equation.

GCF(18612,18623) = 11
LCM(18612,18623) = ( 18612 × 18623) / 11
LCM(18612,18623) = 346611276 / 11
LCM(18612,18623) = 31510116

Least Common Multiple (LCM) of 18612 and 18623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18612 and 18623. First we will calculate the prime factors of 18612 and 18623.

Prime Factorization of 18612

Prime Factorization of 18623

Now multiplying the highest exponent prime factors to calculate the LCM of 18612 and 18623.

LCM(18612,18623) = 2² × 3² × 11¹ × 47¹ × 1693¹
LCM(18612,18623) = 31510116