What is the Least Common Multiple of 96009 and 96024?

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 96009 and 96024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96009 and 96024, than apply into the LCM equation.

GCF(96009,96024) = 3
LCM(96009,96024) = ( 96009 × 96024) / 3
LCM(96009,96024) = 9219168216 / 3
LCM(96009,96024) = 3073056072

Least Common Multiple (LCM) of 96009 and 96024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96009 and 96024. First we will calculate the prime factors of 96009 and 96024.

Prime Factorization of 96009

Prime Factorization of 96024

Now multiplying the highest exponent prime factors to calculate the LCM of 96009 and 96024.

LCM(96009,96024) = 3¹ × 32003¹ × 2³ × 4001¹
LCM(96009,96024) = 3073056072