GCF and LCM Calculator Logo

What is the Least Common Multiple of 17021 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 (LCM) of 17021 and 17036 is 289969756.

LCM(17021,17036) = 289969756

LCM Calculator and
and

Least Common Multiple of 17021 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 17021 and 17036, than apply into the LCM equation.

GCF(17021,17036) = 1
LCM(17021,17036) = ( 17021 × 17036) / 1
LCM(17021,17036) = 289969756 / 1
LCM(17021,17036) = 289969756

Least Common Multiple (LCM) of 17021 and 17036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17021 and 17036. First we will calculate the prime factors of 17021 and 17036.

Prime Factorization of 17021

Prime factors of 17021 are 17021. Prime factorization of 17021 in exponential form is:

17021 = 170211

Prime Factorization of 17036

Prime factors of 17036 are 2, 4259. Prime factorization of 17036 in exponential form is:

17036 = 22 × 42591

Now multiplying the highest exponent prime factors to calculate the LCM of 17021 and 17036.

LCM(17021,17036) = 170211 × 22 × 42591
LCM(17021,17036) = 289969756