What is the Least Common Multiple of 17497 and 17508?

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 17497 and 17508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17497 and 17508, than apply into the LCM equation.

GCF(17497,17508) = 1
LCM(17497,17508) = ( 17497 × 17508) / 1
LCM(17497,17508) = 306337476 / 1
LCM(17497,17508) = 306337476

Least Common Multiple (LCM) of 17497 and 17508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17497 and 17508. First we will calculate the prime factors of 17497 and 17508.

Prime Factorization of 17497

Prime Factorization of 17508

Now multiplying the highest exponent prime factors to calculate the LCM of 17497 and 17508.

LCM(17497,17508) = 17497¹ × 2² × 3¹ × 1459¹
LCM(17497,17508) = 306337476