What is the Least Common Multiple of 31382 and 31398?

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 31382 and 31398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31382 and 31398, than apply into the LCM equation.

GCF(31382,31398) = 2
LCM(31382,31398) = ( 31382 × 31398) / 2
LCM(31382,31398) = 985332036 / 2
LCM(31382,31398) = 492666018

Least Common Multiple (LCM) of 31382 and 31398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31382 and 31398. First we will calculate the prime factors of 31382 and 31398.

Prime Factorization of 31382

Prime Factorization of 31398

Now multiplying the highest exponent prime factors to calculate the LCM of 31382 and 31398.

LCM(31382,31398) = 2¹ × 13¹ × 17¹ × 71¹ × 3¹ × 5233¹
LCM(31382,31398) = 492666018