What is the Least Common Multiple of 17584 and 17592?

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 17592 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 17592, than apply into the LCM equation.

GCF(17584,17592) = 8
LCM(17584,17592) = ( 17584 × 17592) / 8
LCM(17584,17592) = 309337728 / 8
LCM(17584,17592) = 38667216

Least Common Multiple (LCM) of 17584 and 17592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17584 and 17592. First we will calculate the prime factors of 17584 and 17592.

Prime Factorization of 17584

Prime Factorization of 17592

Now multiplying the highest exponent prime factors to calculate the LCM of 17584 and 17592.

LCM(17584,17592) = 2⁴ × 7¹ × 157¹ × 3¹ × 733¹
LCM(17584,17592) = 38667216