GCF and LCM Calculator Logo

What is the Least Common Multiple of 16819 and 16838?

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 16819 and 16838 is 283198322.

LCM(16819,16838) = 283198322

LCM Calculator and
and

Least Common Multiple of 16819 and 16838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16819 and 16838, than apply into the LCM equation.

GCF(16819,16838) = 1
LCM(16819,16838) = ( 16819 × 16838) / 1
LCM(16819,16838) = 283198322 / 1
LCM(16819,16838) = 283198322

Least Common Multiple (LCM) of 16819 and 16838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16819 and 16838. First we will calculate the prime factors of 16819 and 16838.

Prime Factorization of 16819

Prime factors of 16819 are 11, 139. Prime factorization of 16819 in exponential form is:

16819 = 112 × 1391

Prime Factorization of 16838

Prime factors of 16838 are 2, 8419. Prime factorization of 16838 in exponential form is:

16838 = 21 × 84191

Now multiplying the highest exponent prime factors to calculate the LCM of 16819 and 16838.

LCM(16819,16838) = 112 × 1391 × 21 × 84191
LCM(16819,16838) = 283198322