What is the Least Common Multiple of 6096 and 6108?

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 6108 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 6108, than apply into the LCM equation.

GCF(6096,6108) = 12
LCM(6096,6108) = ( 6096 × 6108) / 12
LCM(6096,6108) = 37234368 / 12
LCM(6096,6108) = 3102864

Least Common Multiple (LCM) of 6096 and 6108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6096 and 6108. First we will calculate the prime factors of 6096 and 6108.

Prime Factorization of 6096

Prime Factorization of 6108

Now multiplying the highest exponent prime factors to calculate the LCM of 6096 and 6108.

LCM(6096,6108) = 2⁴ × 3¹ × 127¹ × 509¹
LCM(6096,6108) = 3102864