What is the Least Common Multiple of 17507 and 17512?

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 17507 and 17512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17507 and 17512, than apply into the LCM equation.

GCF(17507,17512) = 1
LCM(17507,17512) = ( 17507 × 17512) / 1
LCM(17507,17512) = 306582584 / 1
LCM(17507,17512) = 306582584

Least Common Multiple (LCM) of 17507 and 17512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17507 and 17512. First we will calculate the prime factors of 17507 and 17512.

Prime Factorization of 17507

Prime Factorization of 17512

Now multiplying the highest exponent prime factors to calculate the LCM of 17507 and 17512.

LCM(17507,17512) = 7¹ × 41¹ × 61¹ × 2³ × 11¹ × 199¹
LCM(17507,17512) = 306582584