What is the Least Common Multiple of 31494 and 31511?

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 31494 and 31511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31494 and 31511, than apply into the LCM equation.

GCF(31494,31511) = 1
LCM(31494,31511) = ( 31494 × 31511) / 1
LCM(31494,31511) = 992407434 / 1
LCM(31494,31511) = 992407434

Least Common Multiple (LCM) of 31494 and 31511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31494 and 31511. First we will calculate the prime factors of 31494 and 31511.

Prime Factorization of 31494

Prime Factorization of 31511

Now multiplying the highest exponent prime factors to calculate the LCM of 31494 and 31511.

LCM(31494,31511) = 2¹ × 3¹ × 29¹ × 181¹ × 31511¹
LCM(31494,31511) = 992407434