What is the Least Common Multiple of 31876 and 31889?

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 31889 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 31889, than apply into the LCM equation.

GCF(31876,31889) = 13
LCM(31876,31889) = ( 31876 × 31889) / 13
LCM(31876,31889) = 1016493764 / 13
LCM(31876,31889) = 78191828

Least Common Multiple (LCM) of 31876 and 31889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31876 and 31889. First we will calculate the prime factors of 31876 and 31889.

Prime Factorization of 31876

Prime Factorization of 31889

Now multiplying the highest exponent prime factors to calculate the LCM of 31876 and 31889.

LCM(31876,31889) = 2² × 13¹ × 613¹ × 11¹ × 223¹
LCM(31876,31889) = 78191828