What is the Least Common Multiple of 58584 and 58588?

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 58588 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 58588, than apply into the LCM equation.

GCF(58584,58588) = 4
LCM(58584,58588) = ( 58584 × 58588) / 4
LCM(58584,58588) = 3432319392 / 4
LCM(58584,58588) = 858079848

Least Common Multiple (LCM) of 58584 and 58588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58584 and 58588. First we will calculate the prime factors of 58584 and 58588.

Prime Factorization of 58584

Prime Factorization of 58588

Now multiplying the highest exponent prime factors to calculate the LCM of 58584 and 58588.

LCM(58584,58588) = 2³ × 3¹ × 2441¹ × 97¹ × 151¹
LCM(58584,58588) = 858079848