What is the Least Common Multiple of 80931 and 80937?

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 80931 and 80937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80931 and 80937, than apply into the LCM equation.

GCF(80931,80937) = 3
LCM(80931,80937) = ( 80931 × 80937) / 3
LCM(80931,80937) = 6550312347 / 3
LCM(80931,80937) = 2183437449

Least Common Multiple (LCM) of 80931 and 80937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80931 and 80937. First we will calculate the prime factors of 80931 and 80937.

Prime Factorization of 80931

Prime Factorization of 80937

Now multiplying the highest exponent prime factors to calculate the LCM of 80931 and 80937.

LCM(80931,80937) = 3² × 53¹ × 509¹ × 17¹ × 23²
LCM(80931,80937) = 2183437449