What is the Least Common Multiple of 58584 and 58592?

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 58592 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 58592, than apply into the LCM equation.

GCF(58584,58592) = 8
LCM(58584,58592) = ( 58584 × 58592) / 8
LCM(58584,58592) = 3432553728 / 8
LCM(58584,58592) = 429069216

Least Common Multiple (LCM) of 58584 and 58592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58584 and 58592. First we will calculate the prime factors of 58584 and 58592.

Prime Factorization of 58584

Prime Factorization of 58592

Now multiplying the highest exponent prime factors to calculate the LCM of 58584 and 58592.

LCM(58584,58592) = 2⁵ × 3¹ × 2441¹ × 1831¹
LCM(58584,58592) = 429069216