What is the Least Common Multiple of 24084 and 24096?

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 24084 and 24096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24084 and 24096, than apply into the LCM equation.

GCF(24084,24096) = 12
LCM(24084,24096) = ( 24084 × 24096) / 12
LCM(24084,24096) = 580328064 / 12
LCM(24084,24096) = 48360672

Least Common Multiple (LCM) of 24084 and 24096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24084 and 24096. First we will calculate the prime factors of 24084 and 24096.

Prime Factorization of 24084

Prime Factorization of 24096

Now multiplying the highest exponent prime factors to calculate the LCM of 24084 and 24096.

LCM(24084,24096) = 2⁵ × 3³ × 223¹ × 251¹
LCM(24084,24096) = 48360672