What is the Least Common Multiple of 17004 and 17015?

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 17004 and 17015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17004 and 17015, than apply into the LCM equation.

GCF(17004,17015) = 1
LCM(17004,17015) = ( 17004 × 17015) / 1
LCM(17004,17015) = 289323060 / 1
LCM(17004,17015) = 289323060

Least Common Multiple (LCM) of 17004 and 17015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17004 and 17015. First we will calculate the prime factors of 17004 and 17015.

Prime Factorization of 17004

Prime Factorization of 17015

Now multiplying the highest exponent prime factors to calculate the LCM of 17004 and 17015.

LCM(17004,17015) = 2² × 3¹ × 13¹ × 109¹ × 5¹ × 41¹ × 83¹
LCM(17004,17015) = 289323060