What is the Least Common Multiple of 17319 and 17337?

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 17319 and 17337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17319 and 17337, than apply into the LCM equation.

GCF(17319,17337) = 3
LCM(17319,17337) = ( 17319 × 17337) / 3
LCM(17319,17337) = 300259503 / 3
LCM(17319,17337) = 100086501

Least Common Multiple (LCM) of 17319 and 17337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17319 and 17337. First we will calculate the prime factors of 17319 and 17337.

Prime Factorization of 17319

Prime Factorization of 17337

Now multiplying the highest exponent prime factors to calculate the LCM of 17319 and 17337.

LCM(17319,17337) = 3¹ × 23¹ × 251¹ × 5779¹
LCM(17319,17337) = 100086501