What is the Least Common Multiple of 24096 and 24114?

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 24096 and 24114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24096 and 24114, than apply into the LCM equation.

GCF(24096,24114) = 6
LCM(24096,24114) = ( 24096 × 24114) / 6
LCM(24096,24114) = 581050944 / 6
LCM(24096,24114) = 96841824

Least Common Multiple (LCM) of 24096 and 24114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24096 and 24114. First we will calculate the prime factors of 24096 and 24114.

Prime Factorization of 24096

Prime Factorization of 24114

Now multiplying the highest exponent prime factors to calculate the LCM of 24096 and 24114.

LCM(24096,24114) = 2⁵ × 3¹ × 251¹ × 4019¹
LCM(24096,24114) = 96841824