What is the Least Common Multiple of 72864 and 72873?

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 72864 and 72873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72864 and 72873, than apply into the LCM equation.

GCF(72864,72873) = 9
LCM(72864,72873) = ( 72864 × 72873) / 9
LCM(72864,72873) = 5309818272 / 9
LCM(72864,72873) = 589979808

Least Common Multiple (LCM) of 72864 and 72873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72864 and 72873. First we will calculate the prime factors of 72864 and 72873.

Prime Factorization of 72864

Prime Factorization of 72873

Now multiplying the highest exponent prime factors to calculate the LCM of 72864 and 72873.

LCM(72864,72873) = 2⁵ × 3³ × 11¹ × 23¹ × 2699¹
LCM(72864,72873) = 589979808