GCF and LCM Calculator Logo

What is the Least Common Multiple of 16873 and 16889?

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 16873 and 16889 is 284968097.

LCM(16873,16889) = 284968097

LCM Calculator and
and

Least Common Multiple of 16873 and 16889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16873 and 16889, than apply into the LCM equation.

GCF(16873,16889) = 1
LCM(16873,16889) = ( 16873 × 16889) / 1
LCM(16873,16889) = 284968097 / 1
LCM(16873,16889) = 284968097

Least Common Multiple (LCM) of 16873 and 16889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16873 and 16889. First we will calculate the prime factors of 16873 and 16889.

Prime Factorization of 16873

Prime factors of 16873 are 47, 359. Prime factorization of 16873 in exponential form is:

16873 = 471 × 3591

Prime Factorization of 16889

Prime factors of 16889 are 16889. Prime factorization of 16889 in exponential form is:

16889 = 168891

Now multiplying the highest exponent prime factors to calculate the LCM of 16873 and 16889.

LCM(16873,16889) = 471 × 3591 × 168891
LCM(16873,16889) = 284968097