What is the Least Common Multiple of 9108 and 9124?

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 9108 and 9124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9108 and 9124, than apply into the LCM equation.

GCF(9108,9124) = 4
LCM(9108,9124) = ( 9108 × 9124) / 4
LCM(9108,9124) = 83101392 / 4
LCM(9108,9124) = 20775348

Least Common Multiple (LCM) of 9108 and 9124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9108 and 9124. First we will calculate the prime factors of 9108 and 9124.

Prime Factorization of 9108

Prime Factorization of 9124

Now multiplying the highest exponent prime factors to calculate the LCM of 9108 and 9124.

LCM(9108,9124) = 2² × 3² × 11¹ × 23¹ × 2281¹
LCM(9108,9124) = 20775348