What is the Least Common Multiple of 96024 and 96036?

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 96024 and 96036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96024 and 96036, than apply into the LCM equation.

GCF(96024,96036) = 12
LCM(96024,96036) = ( 96024 × 96036) / 12
LCM(96024,96036) = 9221760864 / 12
LCM(96024,96036) = 768480072

Least Common Multiple (LCM) of 96024 and 96036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96024 and 96036. First we will calculate the prime factors of 96024 and 96036.

Prime Factorization of 96024

Prime Factorization of 96036

Now multiplying the highest exponent prime factors to calculate the LCM of 96024 and 96036.

LCM(96024,96036) = 2³ × 3¹ × 4001¹ × 53¹ × 151¹
LCM(96024,96036) = 768480072