What is the Least Common Multiple of 17504 and 17515?

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 17515 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 17515, than apply into the LCM equation.

GCF(17504,17515) = 1
LCM(17504,17515) = ( 17504 × 17515) / 1
LCM(17504,17515) = 306582560 / 1
LCM(17504,17515) = 306582560

Least Common Multiple (LCM) of 17504 and 17515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17504 and 17515. First we will calculate the prime factors of 17504 and 17515.

Prime Factorization of 17504

Prime Factorization of 17515

Now multiplying the highest exponent prime factors to calculate the LCM of 17504 and 17515.

LCM(17504,17515) = 2⁵ × 547¹ × 5¹ × 31¹ × 113¹
LCM(17504,17515) = 306582560