What is the Least Common Multiple of 72588 and 72599?

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 72588 and 72599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72588 and 72599, than apply into the LCM equation.

GCF(72588,72599) = 1
LCM(72588,72599) = ( 72588 × 72599) / 1
LCM(72588,72599) = 5269816212 / 1
LCM(72588,72599) = 5269816212

Least Common Multiple (LCM) of 72588 and 72599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72588 and 72599. First we will calculate the prime factors of 72588 and 72599.

Prime Factorization of 72588

Prime Factorization of 72599

Now multiplying the highest exponent prime factors to calculate the LCM of 72588 and 72599.

LCM(72588,72599) = 2² × 3¹ × 23¹ × 263¹ × 19¹ × 3821¹
LCM(72588,72599) = 5269816212