What is the Least Common Multiple of 58512 and 58524?

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 58512 and 58524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58512 and 58524, than apply into the LCM equation.

GCF(58512,58524) = 12
LCM(58512,58524) = ( 58512 × 58524) / 12
LCM(58512,58524) = 3424356288 / 12
LCM(58512,58524) = 285363024

Least Common Multiple (LCM) of 58512 and 58524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58512 and 58524. First we will calculate the prime factors of 58512 and 58524.

Prime Factorization of 58512

Prime Factorization of 58524

Now multiplying the highest exponent prime factors to calculate the LCM of 58512 and 58524.

LCM(58512,58524) = 2⁴ × 3¹ × 23¹ × 53¹ × 4877¹
LCM(58512,58524) = 285363024