What is the Least Common Multiple of 79024 and 79032?

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 79024 and 79032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79024 and 79032, than apply into the LCM equation.

GCF(79024,79032) = 8
LCM(79024,79032) = ( 79024 × 79032) / 8
LCM(79024,79032) = 6245424768 / 8
LCM(79024,79032) = 780678096

Least Common Multiple (LCM) of 79024 and 79032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79024 and 79032. First we will calculate the prime factors of 79024 and 79032.

Prime Factorization of 79024

Prime Factorization of 79032

Now multiplying the highest exponent prime factors to calculate the LCM of 79024 and 79032.

LCM(79024,79032) = 2⁴ × 11¹ × 449¹ × 3¹ × 37¹ × 89¹
LCM(79024,79032) = 780678096