What is the Least Common Multiple of 17296 and 17304?

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 17296 and 17304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17296 and 17304, than apply into the LCM equation.

GCF(17296,17304) = 8
LCM(17296,17304) = ( 17296 × 17304) / 8
LCM(17296,17304) = 299289984 / 8
LCM(17296,17304) = 37411248

Least Common Multiple (LCM) of 17296 and 17304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17296 and 17304. First we will calculate the prime factors of 17296 and 17304.

Prime Factorization of 17296

Prime Factorization of 17304

Now multiplying the highest exponent prime factors to calculate the LCM of 17296 and 17304.

LCM(17296,17304) = 2⁴ × 23¹ × 47¹ × 3¹ × 7¹ × 103¹
LCM(17296,17304) = 37411248