GCF and LCM Calculator Logo

What is the Least Common Multiple of 16306 and 16321?

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 16306 and 16321 is 266130226.

LCM(16306,16321) = 266130226

LCM Calculator and
and

Least Common Multiple of 16306 and 16321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16306 and 16321, than apply into the LCM equation.

GCF(16306,16321) = 1
LCM(16306,16321) = ( 16306 × 16321) / 1
LCM(16306,16321) = 266130226 / 1
LCM(16306,16321) = 266130226

Least Common Multiple (LCM) of 16306 and 16321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16306 and 16321. First we will calculate the prime factors of 16306 and 16321.

Prime Factorization of 16306

Prime factors of 16306 are 2, 31, 263. Prime factorization of 16306 in exponential form is:

16306 = 21 × 311 × 2631

Prime Factorization of 16321

Prime factors of 16321 are 19, 859. Prime factorization of 16321 in exponential form is:

16321 = 191 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 16306 and 16321.

LCM(16306,16321) = 21 × 311 × 2631 × 191 × 8591
LCM(16306,16321) = 266130226