What is the Least Common Multiple of 58500 and 58508?

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 58500 and 58508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58500 and 58508, than apply into the LCM equation.

GCF(58500,58508) = 4
LCM(58500,58508) = ( 58500 × 58508) / 4
LCM(58500,58508) = 3422718000 / 4
LCM(58500,58508) = 855679500

Least Common Multiple (LCM) of 58500 and 58508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58500 and 58508. First we will calculate the prime factors of 58500 and 58508.

Prime Factorization of 58500

Prime Factorization of 58508

Now multiplying the highest exponent prime factors to calculate the LCM of 58500 and 58508.

LCM(58500,58508) = 2² × 3² × 5³ × 13¹ × 14627¹
LCM(58500,58508) = 855679500