What is the Least Common Multiple of 79008 and 79024?

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 79008 and 79024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79008 and 79024, than apply into the LCM equation.

GCF(79008,79024) = 16
LCM(79008,79024) = ( 79008 × 79024) / 16
LCM(79008,79024) = 6243528192 / 16
LCM(79008,79024) = 390220512

Least Common Multiple (LCM) of 79008 and 79024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79008 and 79024. First we will calculate the prime factors of 79008 and 79024.

Prime Factorization of 79008

Prime Factorization of 79024

Now multiplying the highest exponent prime factors to calculate the LCM of 79008 and 79024.

LCM(79008,79024) = 2⁵ × 3¹ × 823¹ × 11¹ × 449¹
LCM(79008,79024) = 390220512