What is the Least Common Multiple of 17919 and 17931?

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 17919 and 17931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17919 and 17931, than apply into the LCM equation.

GCF(17919,17931) = 3
LCM(17919,17931) = ( 17919 × 17931) / 3
LCM(17919,17931) = 321305589 / 3
LCM(17919,17931) = 107101863

Least Common Multiple (LCM) of 17919 and 17931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17919 and 17931. First we will calculate the prime factors of 17919 and 17931.

Prime Factorization of 17919

Prime Factorization of 17931

Now multiplying the highest exponent prime factors to calculate the LCM of 17919 and 17931.

LCM(17919,17931) = 3² × 11¹ × 181¹ × 43¹ × 139¹
LCM(17919,17931) = 107101863