What is the Least Common Multiple of 27108 and 27123?

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 27108 and 27123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27108 and 27123, than apply into the LCM equation.

GCF(27108,27123) = 3
LCM(27108,27123) = ( 27108 × 27123) / 3
LCM(27108,27123) = 735250284 / 3
LCM(27108,27123) = 245083428

Least Common Multiple (LCM) of 27108 and 27123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27108 and 27123. First we will calculate the prime factors of 27108 and 27123.

Prime Factorization of 27108

Prime Factorization of 27123

Now multiplying the highest exponent prime factors to calculate the LCM of 27108 and 27123.

LCM(27108,27123) = 2² × 3³ × 251¹ × 9041¹
LCM(27108,27123) = 245083428