GCF and LCM Calculator Logo

What is the Least Common Multiple of 17319 and 17333?

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 17319 and 17333 is 300190227.

LCM(17319,17333) = 300190227

LCM Calculator and
and

Least Common Multiple of 17319 and 17333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17319 and 17333, than apply into the LCM equation.

GCF(17319,17333) = 1
LCM(17319,17333) = ( 17319 × 17333) / 1
LCM(17319,17333) = 300190227 / 1
LCM(17319,17333) = 300190227

Least Common Multiple (LCM) of 17319 and 17333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17319 and 17333. First we will calculate the prime factors of 17319 and 17333.

Prime Factorization of 17319

Prime factors of 17319 are 3, 23, 251. Prime factorization of 17319 in exponential form is:

17319 = 31 × 231 × 2511

Prime Factorization of 17333

Prime factors of 17333 are 17333. Prime factorization of 17333 in exponential form is:

17333 = 173331

Now multiplying the highest exponent prime factors to calculate the LCM of 17319 and 17333.

LCM(17319,17333) = 31 × 231 × 2511 × 173331
LCM(17319,17333) = 300190227