What is the Least Common Multiple of 56008 and 56023?

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 56008 and 56023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56008 and 56023, than apply into the LCM equation.

GCF(56008,56023) = 1
LCM(56008,56023) = ( 56008 × 56023) / 1
LCM(56008,56023) = 3137736184 / 1
LCM(56008,56023) = 3137736184

Least Common Multiple (LCM) of 56008 and 56023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56008 and 56023. First we will calculate the prime factors of 56008 and 56023.

Prime Factorization of 56008

Prime Factorization of 56023

Now multiplying the highest exponent prime factors to calculate the LCM of 56008 and 56023.

LCM(56008,56023) = 2³ × 7001¹ × 11² × 463¹
LCM(56008,56023) = 3137736184