What is the Least Common Multiple of 6096 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 of 6096 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 6096 and 6114, than apply into the LCM equation.

GCF(6096,6114) = 6
LCM(6096,6114) = ( 6096 × 6114) / 6
LCM(6096,6114) = 37270944 / 6
LCM(6096,6114) = 6211824

Least Common Multiple (LCM) of 6096 and 6114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6096 and 6114. First we will calculate the prime factors of 6096 and 6114.

Prime Factorization of 6096

Prime Factorization of 6114

Now multiplying the highest exponent prime factors to calculate the LCM of 6096 and 6114.

LCM(6096,6114) = 2⁴ × 3¹ × 127¹ × 1019¹
LCM(6096,6114) = 6211824