What is the Least Common Multiple of 58512 and 58518?

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 58518 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 58518, than apply into the LCM equation.

GCF(58512,58518) = 6
LCM(58512,58518) = ( 58512 × 58518) / 6
LCM(58512,58518) = 3424005216 / 6
LCM(58512,58518) = 570667536

Least Common Multiple (LCM) of 58512 and 58518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58512 and 58518. First we will calculate the prime factors of 58512 and 58518.

Prime Factorization of 58512

Prime Factorization of 58518

Now multiplying the highest exponent prime factors to calculate the LCM of 58512 and 58518.

LCM(58512,58518) = 2⁴ × 3² × 23¹ × 53¹ × 3251¹
LCM(58512,58518) = 570667536