What is the Least Common Multiple of 85584 and 85599?

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 85584 and 85599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85584 and 85599, than apply into the LCM equation.

GCF(85584,85599) = 3
LCM(85584,85599) = ( 85584 × 85599) / 3
LCM(85584,85599) = 7325904816 / 3
LCM(85584,85599) = 2441968272

Least Common Multiple (LCM) of 85584 and 85599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85584 and 85599. First we will calculate the prime factors of 85584 and 85599.

Prime Factorization of 85584

Prime Factorization of 85599

Now multiplying the highest exponent prime factors to calculate the LCM of 85584 and 85599.

LCM(85584,85599) = 2⁴ × 3² × 1783¹ × 9511¹
LCM(85584,85599) = 2441968272