What is the Least Common Multiple of 17504 and 17524?

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 17504 and 17524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17504 and 17524, than apply into the LCM equation.

GCF(17504,17524) = 4
LCM(17504,17524) = ( 17504 × 17524) / 4
LCM(17504,17524) = 306740096 / 4
LCM(17504,17524) = 76685024

Least Common Multiple (LCM) of 17504 and 17524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17504 and 17524. First we will calculate the prime factors of 17504 and 17524.

Prime Factorization of 17504

Prime Factorization of 17524

Now multiplying the highest exponent prime factors to calculate the LCM of 17504 and 17524.

LCM(17504,17524) = 2⁵ × 547¹ × 13¹ × 337¹
LCM(17504,17524) = 76685024