What is the Least Common Multiple of 32919 and 32931?

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 32919 and 32931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32919 and 32931, than apply into the LCM equation.

GCF(32919,32931) = 3
LCM(32919,32931) = ( 32919 × 32931) / 3
LCM(32919,32931) = 1084055589 / 3
LCM(32919,32931) = 361351863

Least Common Multiple (LCM) of 32919 and 32931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32919 and 32931. First we will calculate the prime factors of 32919 and 32931.

Prime Factorization of 32919

Prime Factorization of 32931

Now multiplying the highest exponent prime factors to calculate the LCM of 32919 and 32931.

LCM(32919,32931) = 3² × 10973¹ × 3659¹
LCM(32919,32931) = 361351863