What is the Least Common Multiple of 85359 and 85368?

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 85359 and 85368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85359 and 85368, than apply into the LCM equation.

GCF(85359,85368) = 3
LCM(85359,85368) = ( 85359 × 85368) / 3
LCM(85359,85368) = 7286927112 / 3
LCM(85359,85368) = 2428975704

Least Common Multiple (LCM) of 85359 and 85368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85359 and 85368. First we will calculate the prime factors of 85359 and 85368.

Prime Factorization of 85359

Prime Factorization of 85368

Now multiplying the highest exponent prime factors to calculate the LCM of 85359 and 85368.

LCM(85359,85368) = 3¹ × 37¹ × 769¹ × 2³ × 3557¹
LCM(85359,85368) = 2428975704