What is the Least Common Multiple of 27096 and 27108?

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 27096 and 27108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27096 and 27108, than apply into the LCM equation.

GCF(27096,27108) = 12
LCM(27096,27108) = ( 27096 × 27108) / 12
LCM(27096,27108) = 734518368 / 12
LCM(27096,27108) = 61209864

Least Common Multiple (LCM) of 27096 and 27108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27096 and 27108. First we will calculate the prime factors of 27096 and 27108.

Prime Factorization of 27096

Prime Factorization of 27108

Now multiplying the highest exponent prime factors to calculate the LCM of 27096 and 27108.

LCM(27096,27108) = 2³ × 3³ × 1129¹ × 251¹
LCM(27096,27108) = 61209864