What is the Least Common Multiple of 27108 and 27114?

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 27114 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 27114, than apply into the LCM equation.

GCF(27108,27114) = 6
LCM(27108,27114) = ( 27108 × 27114) / 6
LCM(27108,27114) = 735006312 / 6
LCM(27108,27114) = 122501052

Least Common Multiple (LCM) of 27108 and 27114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27108 and 27114. First we will calculate the prime factors of 27108 and 27114.

Prime Factorization of 27108

Prime Factorization of 27114

Now multiplying the highest exponent prime factors to calculate the LCM of 27108 and 27114.

LCM(27108,27114) = 2² × 3³ × 251¹ × 4519¹
LCM(27108,27114) = 122501052