What is the Least Common Multiple of 31392 and 31399?

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 31392 and 31399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31392 and 31399, than apply into the LCM equation.

GCF(31392,31399) = 1
LCM(31392,31399) = ( 31392 × 31399) / 1
LCM(31392,31399) = 985677408 / 1
LCM(31392,31399) = 985677408

Least Common Multiple (LCM) of 31392 and 31399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31392 and 31399. First we will calculate the prime factors of 31392 and 31399.

Prime Factorization of 31392

Prime Factorization of 31399

Now multiplying the highest exponent prime factors to calculate the LCM of 31392 and 31399.

LCM(31392,31399) = 2⁵ × 3² × 109¹ × 17¹ × 1847¹
LCM(31392,31399) = 985677408