What is the Least Common Multiple of 31398 and 31412?

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 31398 and 31412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31398 and 31412, than apply into the LCM equation.

GCF(31398,31412) = 2
LCM(31398,31412) = ( 31398 × 31412) / 2
LCM(31398,31412) = 986273976 / 2
LCM(31398,31412) = 493136988

Least Common Multiple (LCM) of 31398 and 31412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31398 and 31412. First we will calculate the prime factors of 31398 and 31412.

Prime Factorization of 31398

Prime Factorization of 31412

Now multiplying the highest exponent prime factors to calculate the LCM of 31398 and 31412.

LCM(31398,31412) = 2² × 3¹ × 5233¹ × 7853¹
LCM(31398,31412) = 493136988