What is the Least Common Multiple of 31896 and 31908?

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 31896 and 31908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31896 and 31908, than apply into the LCM equation.

GCF(31896,31908) = 12
LCM(31896,31908) = ( 31896 × 31908) / 12
LCM(31896,31908) = 1017737568 / 12
LCM(31896,31908) = 84811464

Least Common Multiple (LCM) of 31896 and 31908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31896 and 31908. First we will calculate the prime factors of 31896 and 31908.

Prime Factorization of 31896

Prime Factorization of 31908

Now multiplying the highest exponent prime factors to calculate the LCM of 31896 and 31908.

LCM(31896,31908) = 2³ × 3² × 443¹ × 2659¹
LCM(31896,31908) = 84811464