GCF and LCM Calculator Logo

What is the Least Common Multiple of 16987 and 17005?

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 16987 and 17005 is 288863935.

LCM(16987,17005) = 288863935

LCM Calculator and
and

Least Common Multiple of 16987 and 17005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16987 and 17005, than apply into the LCM equation.

GCF(16987,17005) = 1
LCM(16987,17005) = ( 16987 × 17005) / 1
LCM(16987,17005) = 288863935 / 1
LCM(16987,17005) = 288863935

Least Common Multiple (LCM) of 16987 and 17005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16987 and 17005. First we will calculate the prime factors of 16987 and 17005.

Prime Factorization of 16987

Prime factors of 16987 are 16987. Prime factorization of 16987 in exponential form is:

16987 = 169871

Prime Factorization of 17005

Prime factors of 17005 are 5, 19, 179. Prime factorization of 17005 in exponential form is:

17005 = 51 × 191 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 16987 and 17005.

LCM(16987,17005) = 169871 × 51 × 191 × 1791
LCM(16987,17005) = 288863935