What is the Least Common Multiple of 58008 and 58020?

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 58008 and 58020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58008 and 58020, than apply into the LCM equation.

GCF(58008,58020) = 12
LCM(58008,58020) = ( 58008 × 58020) / 12
LCM(58008,58020) = 3365624160 / 12
LCM(58008,58020) = 280468680

Least Common Multiple (LCM) of 58008 and 58020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58008 and 58020. First we will calculate the prime factors of 58008 and 58020.

Prime Factorization of 58008

Prime Factorization of 58020

Now multiplying the highest exponent prime factors to calculate the LCM of 58008 and 58020.

LCM(58008,58020) = 2³ × 3¹ × 2417¹ × 5¹ × 967¹
LCM(58008,58020) = 280468680