What is the Least Common Multiple of 31891 and 31897?

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 31891 and 31897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31891 and 31897, than apply into the LCM equation.

GCF(31891,31897) = 1
LCM(31891,31897) = ( 31891 × 31897) / 1
LCM(31891,31897) = 1017227227 / 1
LCM(31891,31897) = 1017227227

Least Common Multiple (LCM) of 31891 and 31897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31891 and 31897. First we will calculate the prime factors of 31891 and 31897.

Prime Factorization of 31891

Prime Factorization of 31897

Now multiplying the highest exponent prime factors to calculate the LCM of 31891 and 31897.

LCM(31891,31897) = 31891¹ × 167¹ × 191¹
LCM(31891,31897) = 1017227227