What is the Least Common Multiple of 17304 and 17322?

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 17304 and 17322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17304 and 17322, than apply into the LCM equation.

GCF(17304,17322) = 6
LCM(17304,17322) = ( 17304 × 17322) / 6
LCM(17304,17322) = 299739888 / 6
LCM(17304,17322) = 49956648

Least Common Multiple (LCM) of 17304 and 17322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17304 and 17322. First we will calculate the prime factors of 17304 and 17322.

Prime Factorization of 17304

Prime Factorization of 17322

Now multiplying the highest exponent prime factors to calculate the LCM of 17304 and 17322.

LCM(17304,17322) = 2³ × 3¹ × 7¹ × 103¹ × 2887¹
LCM(17304,17322) = 49956648