What is the Least Common Multiple of 31009 and 31023?

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 31009 and 31023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31009 and 31023, than apply into the LCM equation.

GCF(31009,31023) = 1
LCM(31009,31023) = ( 31009 × 31023) / 1
LCM(31009,31023) = 961992207 / 1
LCM(31009,31023) = 961992207

Least Common Multiple (LCM) of 31009 and 31023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31009 and 31023. First we will calculate the prime factors of 31009 and 31023.

Prime Factorization of 31009

Prime Factorization of 31023

Now multiplying the highest exponent prime factors to calculate the LCM of 31009 and 31023.

LCM(31009,31023) = 11¹ × 2819¹ × 3⁴ × 383¹
LCM(31009,31023) = 961992207