What is the Least Common Multiple of 28304 and 28317?

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 28304 and 28317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28304 and 28317, than apply into the LCM equation.

GCF(28304,28317) = 1
LCM(28304,28317) = ( 28304 × 28317) / 1
LCM(28304,28317) = 801484368 / 1
LCM(28304,28317) = 801484368

Least Common Multiple (LCM) of 28304 and 28317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28304 and 28317. First we will calculate the prime factors of 28304 and 28317.

Prime Factorization of 28304

Prime Factorization of 28317

Now multiplying the highest exponent prime factors to calculate the LCM of 28304 and 28317.

LCM(28304,28317) = 2⁴ × 29¹ × 61¹ × 3¹ × 9439¹
LCM(28304,28317) = 801484368