What is the Least Common Multiple of 58086 and 58099?

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 58086 and 58099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58086 and 58099, than apply into the LCM equation.

GCF(58086,58099) = 1
LCM(58086,58099) = ( 58086 × 58099) / 1
LCM(58086,58099) = 3374738514 / 1
LCM(58086,58099) = 3374738514

Least Common Multiple (LCM) of 58086 and 58099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58086 and 58099. First we will calculate the prime factors of 58086 and 58099.

Prime Factorization of 58086

Prime Factorization of 58099

Now multiplying the highest exponent prime factors to calculate the LCM of 58086 and 58099.

LCM(58086,58099) = 2¹ × 3² × 7¹ × 461¹ × 58099¹
LCM(58086,58099) = 3374738514