What is the Least Common Multiple of 58584 and 58589?

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 58584 and 58589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58584 and 58589, than apply into the LCM equation.

GCF(58584,58589) = 1
LCM(58584,58589) = ( 58584 × 58589) / 1
LCM(58584,58589) = 3432377976 / 1
LCM(58584,58589) = 3432377976

Least Common Multiple (LCM) of 58584 and 58589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58584 and 58589. First we will calculate the prime factors of 58584 and 58589.

Prime Factorization of 58584

Prime Factorization of 58589

Now multiplying the highest exponent prime factors to calculate the LCM of 58584 and 58589.

LCM(58584,58589) = 2³ × 3¹ × 2441¹ × 41¹ × 1429¹
LCM(58584,58589) = 3432377976