GCF and LCM Calculator Logo

What is the Least Common Multiple of 6108 and 6114?

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 (LCM) of 6108 and 6114 is 6224052.

LCM(6108,6114) = 6224052

LCM Calculator and
and

Least Common Multiple of 6108 and 6114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6108 and 6114, than apply into the LCM equation.

GCF(6108,6114) = 6
LCM(6108,6114) = ( 6108 × 6114) / 6
LCM(6108,6114) = 37344312 / 6
LCM(6108,6114) = 6224052

Least Common Multiple (LCM) of 6108 and 6114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6108 and 6114. First we will calculate the prime factors of 6108 and 6114.

Prime Factorization of 6108

Prime factors of 6108 are 2, 3, 509. Prime factorization of 6108 in exponential form is:

6108 = 22 × 31 × 5091

Prime Factorization of 6114

Prime factors of 6114 are 2, 3, 1019. Prime factorization of 6114 in exponential form is:

6114 = 21 × 31 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 6108 and 6114.

LCM(6108,6114) = 22 × 31 × 5091 × 10191
LCM(6108,6114) = 6224052