What is the Least Common Multiple of 58008 and 58023?

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 58023 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 58023, than apply into the LCM equation.

GCF(58008,58023) = 3
LCM(58008,58023) = ( 58008 × 58023) / 3
LCM(58008,58023) = 3365798184 / 3
LCM(58008,58023) = 1121932728

Least Common Multiple (LCM) of 58008 and 58023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58008 and 58023. First we will calculate the prime factors of 58008 and 58023.

Prime Factorization of 58008

Prime Factorization of 58023

Now multiplying the highest exponent prime factors to calculate the LCM of 58008 and 58023.

LCM(58008,58023) = 2³ × 3³ × 2417¹ × 7¹ × 307¹
LCM(58008,58023) = 1121932728