What is the Least Common Multiple of 31008 and 31022?

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 31008 and 31022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31008 and 31022, than apply into the LCM equation.

GCF(31008,31022) = 2
LCM(31008,31022) = ( 31008 × 31022) / 2
LCM(31008,31022) = 961930176 / 2
LCM(31008,31022) = 480965088

Least Common Multiple (LCM) of 31008 and 31022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31008 and 31022. First we will calculate the prime factors of 31008 and 31022.

Prime Factorization of 31008

Prime Factorization of 31022

Now multiplying the highest exponent prime factors to calculate the LCM of 31008 and 31022.

LCM(31008,31022) = 2⁵ × 3¹ × 17¹ × 19¹ × 15511¹
LCM(31008,31022) = 480965088