What is the Least Common Multiple of 17268 and 17288?

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 17268 and 17288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17268 and 17288, than apply into the LCM equation.

GCF(17268,17288) = 4
LCM(17268,17288) = ( 17268 × 17288) / 4
LCM(17268,17288) = 298529184 / 4
LCM(17268,17288) = 74632296

Least Common Multiple (LCM) of 17268 and 17288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17268 and 17288. First we will calculate the prime factors of 17268 and 17288.

Prime Factorization of 17268

Prime Factorization of 17288

Now multiplying the highest exponent prime factors to calculate the LCM of 17268 and 17288.

LCM(17268,17288) = 2³ × 3¹ × 1439¹ × 2161¹
LCM(17268,17288) = 74632296