GCF and LCM Calculator Logo

What is the Least Common Multiple of 16809 and 16817?

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 16809 and 16817 is 282676953.

LCM(16809,16817) = 282676953

LCM Calculator and
and

Least Common Multiple of 16809 and 16817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16809 and 16817, than apply into the LCM equation.

GCF(16809,16817) = 1
LCM(16809,16817) = ( 16809 × 16817) / 1
LCM(16809,16817) = 282676953 / 1
LCM(16809,16817) = 282676953

Least Common Multiple (LCM) of 16809 and 16817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16809 and 16817. First we will calculate the prime factors of 16809 and 16817.

Prime Factorization of 16809

Prime factors of 16809 are 3, 13, 431. Prime factorization of 16809 in exponential form is:

16809 = 31 × 131 × 4311

Prime Factorization of 16817

Prime factors of 16817 are 67, 251. Prime factorization of 16817 in exponential form is:

16817 = 671 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 16809 and 16817.

LCM(16809,16817) = 31 × 131 × 4311 × 671 × 2511
LCM(16809,16817) = 282676953