What is the Least Common Multiple of 17312 and 17317?

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 17312 and 17317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17312 and 17317, than apply into the LCM equation.

GCF(17312,17317) = 1
LCM(17312,17317) = ( 17312 × 17317) / 1
LCM(17312,17317) = 299791904 / 1
LCM(17312,17317) = 299791904

Least Common Multiple (LCM) of 17312 and 17317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17312 and 17317. First we will calculate the prime factors of 17312 and 17317.

Prime Factorization of 17312

Prime Factorization of 17317

Now multiplying the highest exponent prime factors to calculate the LCM of 17312 and 17317.

LCM(17312,17317) = 2⁵ × 541¹ × 17317¹
LCM(17312,17317) = 299791904