What is the Least Common Multiple of 28359 and 28368?

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 28359 and 28368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28359 and 28368, than apply into the LCM equation.

GCF(28359,28368) = 9
LCM(28359,28368) = ( 28359 × 28368) / 9
LCM(28359,28368) = 804488112 / 9
LCM(28359,28368) = 89387568

Least Common Multiple (LCM) of 28359 and 28368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28359 and 28368. First we will calculate the prime factors of 28359 and 28368.

Prime Factorization of 28359

Prime Factorization of 28368

Now multiplying the highest exponent prime factors to calculate the LCM of 28359 and 28368.

LCM(28359,28368) = 3² × 23¹ × 137¹ × 2⁴ × 197¹
LCM(28359,28368) = 89387568