What is the Least Common Multiple of 31392 and 31401?

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 31401 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 31401, than apply into the LCM equation.

GCF(31392,31401) = 9
LCM(31392,31401) = ( 31392 × 31401) / 9
LCM(31392,31401) = 985740192 / 9
LCM(31392,31401) = 109526688

Least Common Multiple (LCM) of 31392 and 31401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31392 and 31401. First we will calculate the prime factors of 31392 and 31401.

Prime Factorization of 31392

Prime Factorization of 31401

Now multiplying the highest exponent prime factors to calculate the LCM of 31392 and 31401.

LCM(31392,31401) = 2⁵ × 3³ × 109¹ × 1163¹
LCM(31392,31401) = 109526688