What is the Least Common Multiple of 17017 and 17036?

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 17017 and 17036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17017 and 17036, than apply into the LCM equation.

GCF(17017,17036) = 1
LCM(17017,17036) = ( 17017 × 17036) / 1
LCM(17017,17036) = 289901612 / 1
LCM(17017,17036) = 289901612

Least Common Multiple (LCM) of 17017 and 17036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17017 and 17036. First we will calculate the prime factors of 17017 and 17036.

Prime Factorization of 17017

Prime Factorization of 17036

Now multiplying the highest exponent prime factors to calculate the LCM of 17017 and 17036.

LCM(17017,17036) = 7¹ × 11¹ × 13¹ × 17¹ × 2² × 4259¹
LCM(17017,17036) = 289901612