What is the Least Common Multiple of 24304 and 24317?

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 24304 and 24317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24304 and 24317, than apply into the LCM equation.

GCF(24304,24317) = 1
LCM(24304,24317) = ( 24304 × 24317) / 1
LCM(24304,24317) = 591000368 / 1
LCM(24304,24317) = 591000368

Least Common Multiple (LCM) of 24304 and 24317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24304 and 24317. First we will calculate the prime factors of 24304 and 24317.

Prime Factorization of 24304

Prime Factorization of 24317

Now multiplying the highest exponent prime factors to calculate the LCM of 24304 and 24317.

LCM(24304,24317) = 2⁴ × 7² × 31¹ × 24317¹
LCM(24304,24317) = 591000368