What is the Least Common Multiple of 17289 and 17298?

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 17289 and 17298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17289 and 17298, than apply into the LCM equation.

GCF(17289,17298) = 9
LCM(17289,17298) = ( 17289 × 17298) / 9
LCM(17289,17298) = 299065122 / 9
LCM(17289,17298) = 33229458

Least Common Multiple (LCM) of 17289 and 17298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17289 and 17298. First we will calculate the prime factors of 17289 and 17298.

Prime Factorization of 17289

Prime Factorization of 17298

Now multiplying the highest exponent prime factors to calculate the LCM of 17289 and 17298.

LCM(17289,17298) = 3² × 17¹ × 113¹ × 2¹ × 31²
LCM(17289,17298) = 33229458