What is the Least Common Multiple of 17289 and 17306?

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 17306 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 17306, than apply into the LCM equation.

GCF(17289,17306) = 17
LCM(17289,17306) = ( 17289 × 17306) / 17
LCM(17289,17306) = 299203434 / 17
LCM(17289,17306) = 17600202

Least Common Multiple (LCM) of 17289 and 17306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17289 and 17306. First we will calculate the prime factors of 17289 and 17306.

Prime Factorization of 17289

Prime Factorization of 17306

Now multiplying the highest exponent prime factors to calculate the LCM of 17289 and 17306.

LCM(17289,17306) = 3² × 17¹ × 113¹ × 2¹ × 509¹
LCM(17289,17306) = 17600202