What is the Least Common Multiple of 31378 and 31396?

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 31378 and 31396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31378 and 31396, than apply into the LCM equation.

GCF(31378,31396) = 2
LCM(31378,31396) = ( 31378 × 31396) / 2
LCM(31378,31396) = 985143688 / 2
LCM(31378,31396) = 492571844

Least Common Multiple (LCM) of 31378 and 31396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31378 and 31396. First we will calculate the prime factors of 31378 and 31396.

Prime Factorization of 31378

Prime Factorization of 31396

Now multiplying the highest exponent prime factors to calculate the LCM of 31378 and 31396.

LCM(31378,31396) = 2² × 29¹ × 541¹ × 47¹ × 167¹
LCM(31378,31396) = 492571844