GCF and LCM Calculator Logo

What is the Least Common Multiple of 16579 and 16589?

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 16579 and 16589 is 275029031.

LCM(16579,16589) = 275029031

LCM Calculator and
and

Least Common Multiple of 16579 and 16589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16579 and 16589, than apply into the LCM equation.

GCF(16579,16589) = 1
LCM(16579,16589) = ( 16579 × 16589) / 1
LCM(16579,16589) = 275029031 / 1
LCM(16579,16589) = 275029031

Least Common Multiple (LCM) of 16579 and 16589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16579 and 16589. First we will calculate the prime factors of 16579 and 16589.

Prime Factorization of 16579

Prime factors of 16579 are 59, 281. Prime factorization of 16579 in exponential form is:

16579 = 591 × 2811

Prime Factorization of 16589

Prime factors of 16589 are 53, 313. Prime factorization of 16589 in exponential form is:

16589 = 531 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 16579 and 16589.

LCM(16579,16589) = 591 × 2811 × 531 × 3131
LCM(16579,16589) = 275029031