What is the Least Common Multiple of 79328 and 79344?

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 79328 and 79344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79328 and 79344, than apply into the LCM equation.

GCF(79328,79344) = 16
LCM(79328,79344) = ( 79328 × 79344) / 16
LCM(79328,79344) = 6294200832 / 16
LCM(79328,79344) = 393387552

Least Common Multiple (LCM) of 79328 and 79344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79328 and 79344. First we will calculate the prime factors of 79328 and 79344.

Prime Factorization of 79328

Prime Factorization of 79344

Now multiplying the highest exponent prime factors to calculate the LCM of 79328 and 79344.

LCM(79328,79344) = 2⁵ × 37¹ × 67¹ × 3² × 19¹ × 29¹
LCM(79328,79344) = 393387552