What is the Least Common Multiple of 58502 and 58512?

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 58502 and 58512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58502 and 58512, than apply into the LCM equation.

GCF(58502,58512) = 2
LCM(58502,58512) = ( 58502 × 58512) / 2
LCM(58502,58512) = 3423069024 / 2
LCM(58502,58512) = 1711534512

Least Common Multiple (LCM) of 58502 and 58512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58502 and 58512. First we will calculate the prime factors of 58502 and 58512.

Prime Factorization of 58502

Prime Factorization of 58512

Now multiplying the highest exponent prime factors to calculate the LCM of 58502 and 58512.

LCM(58502,58512) = 2⁴ × 29251¹ × 3¹ × 23¹ × 53¹
LCM(58502,58512) = 1711534512