What is the Least Common Multiple of 17584 and 17589?

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 17584 and 17589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17584 and 17589, than apply into the LCM equation.

GCF(17584,17589) = 1
LCM(17584,17589) = ( 17584 × 17589) / 1
LCM(17584,17589) = 309284976 / 1
LCM(17584,17589) = 309284976

Least Common Multiple (LCM) of 17584 and 17589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17584 and 17589. First we will calculate the prime factors of 17584 and 17589.

Prime Factorization of 17584

Prime Factorization of 17589

Now multiplying the highest exponent prime factors to calculate the LCM of 17584 and 17589.

LCM(17584,17589) = 2⁴ × 7¹ × 157¹ × 3¹ × 11¹ × 13¹ × 41¹
LCM(17584,17589) = 309284976