What is the Least Common Multiple of 72576 and 72589?

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 72576 and 72589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72576 and 72589, than apply into the LCM equation.

GCF(72576,72589) = 1
LCM(72576,72589) = ( 72576 × 72589) / 1
LCM(72576,72589) = 5268219264 / 1
LCM(72576,72589) = 5268219264

Least Common Multiple (LCM) of 72576 and 72589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72576 and 72589. First we will calculate the prime factors of 72576 and 72589.

Prime Factorization of 72576

Prime Factorization of 72589

Now multiplying the highest exponent prime factors to calculate the LCM of 72576 and 72589.

LCM(72576,72589) = 2⁷ × 3⁴ × 7¹ × 11¹ × 6599¹
LCM(72576,72589) = 5268219264