What is the Least Common Multiple of 31876 and 31896?

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 31876 and 31896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31876 and 31896, than apply into the LCM equation.

GCF(31876,31896) = 4
LCM(31876,31896) = ( 31876 × 31896) / 4
LCM(31876,31896) = 1016716896 / 4
LCM(31876,31896) = 254179224

Least Common Multiple (LCM) of 31876 and 31896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31876 and 31896. First we will calculate the prime factors of 31876 and 31896.

Prime Factorization of 31876

Prime Factorization of 31896

Now multiplying the highest exponent prime factors to calculate the LCM of 31876 and 31896.

LCM(31876,31896) = 2³ × 13¹ × 613¹ × 3² × 443¹
LCM(31876,31896) = 254179224