What is the Least Common Multiple of 79524 and 79536?

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 79524 and 79536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79524 and 79536, than apply into the LCM equation.

GCF(79524,79536) = 12
LCM(79524,79536) = ( 79524 × 79536) / 12
LCM(79524,79536) = 6325020864 / 12
LCM(79524,79536) = 527085072

Least Common Multiple (LCM) of 79524 and 79536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79524 and 79536. First we will calculate the prime factors of 79524 and 79536.

Prime Factorization of 79524

Prime Factorization of 79536

Now multiplying the highest exponent prime factors to calculate the LCM of 79524 and 79536.

LCM(79524,79536) = 2⁴ × 3² × 47² × 1657¹
LCM(79524,79536) = 527085072