What is the Least Common Multiple of 31392 and 31404?

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 31404 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 31404, than apply into the LCM equation.

GCF(31392,31404) = 12
LCM(31392,31404) = ( 31392 × 31404) / 12
LCM(31392,31404) = 985834368 / 12
LCM(31392,31404) = 82152864

Least Common Multiple (LCM) of 31392 and 31404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31392 and 31404. First we will calculate the prime factors of 31392 and 31404.

Prime Factorization of 31392

Prime Factorization of 31404

Now multiplying the highest exponent prime factors to calculate the LCM of 31392 and 31404.

LCM(31392,31404) = 2⁵ × 3² × 109¹ × 2617¹
LCM(31392,31404) = 82152864