What is the Least Common Multiple of 31931 and 31937?

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 31931 and 31937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31931 and 31937, than apply into the LCM equation.

GCF(31931,31937) = 1
LCM(31931,31937) = ( 31931 × 31937) / 1
LCM(31931,31937) = 1019780347 / 1
LCM(31931,31937) = 1019780347

Least Common Multiple (LCM) of 31931 and 31937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31931 and 31937. First we will calculate the prime factors of 31931 and 31937.

Prime Factorization of 31931

Prime Factorization of 31937

Now multiplying the highest exponent prime factors to calculate the LCM of 31931 and 31937.

LCM(31931,31937) = 37¹ × 863¹ × 109¹ × 293¹
LCM(31931,31937) = 1019780347