What is the Least Common Multiple of 31386 and 31395?

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 31386 and 31395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31386 and 31395, than apply into the LCM equation.

GCF(31386,31395) = 3
LCM(31386,31395) = ( 31386 × 31395) / 3
LCM(31386,31395) = 985363470 / 3
LCM(31386,31395) = 328454490

Least Common Multiple (LCM) of 31386 and 31395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31386 and 31395. First we will calculate the prime factors of 31386 and 31395.

Prime Factorization of 31386

Prime Factorization of 31395

Now multiplying the highest exponent prime factors to calculate the LCM of 31386 and 31395.

LCM(31386,31395) = 2¹ × 3¹ × 5231¹ × 5¹ × 7¹ × 13¹ × 23¹
LCM(31386,31395) = 328454490