What is the Least Common Multiple of 34304 and 34317?

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 34304 and 34317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34304 and 34317, than apply into the LCM equation.

GCF(34304,34317) = 1
LCM(34304,34317) = ( 34304 × 34317) / 1
LCM(34304,34317) = 1177210368 / 1
LCM(34304,34317) = 1177210368

Least Common Multiple (LCM) of 34304 and 34317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34304 and 34317. First we will calculate the prime factors of 34304 and 34317.

Prime Factorization of 34304

Prime Factorization of 34317

Now multiplying the highest exponent prime factors to calculate the LCM of 34304 and 34317.

LCM(34304,34317) = 2⁹ × 67¹ × 3³ × 31¹ × 41¹
LCM(34304,34317) = 1177210368