What is the Least Common Multiple of 31458 and 31466?

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 31458 and 31466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31458 and 31466, than apply into the LCM equation.

GCF(31458,31466) = 2
LCM(31458,31466) = ( 31458 × 31466) / 2
LCM(31458,31466) = 989857428 / 2
LCM(31458,31466) = 494928714

Least Common Multiple (LCM) of 31458 and 31466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31458 and 31466. First we will calculate the prime factors of 31458 and 31466.

Prime Factorization of 31458

Prime Factorization of 31466

Now multiplying the highest exponent prime factors to calculate the LCM of 31458 and 31466.

LCM(31458,31466) = 2¹ × 3¹ × 7² × 107¹ × 15733¹
LCM(31458,31466) = 494928714