GCF and LCM Calculator Logo

What is the Least Common Multiple of 17319 and 17330?

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 17330 is 300138270.

LCM(17319,17330) = 300138270

LCM Calculator and
and

Least Common Multiple of 17319 and 17330 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 17330, than apply into the LCM equation.

GCF(17319,17330) = 1
LCM(17319,17330) = ( 17319 × 17330) / 1
LCM(17319,17330) = 300138270 / 1
LCM(17319,17330) = 300138270

Least Common Multiple (LCM) of 17319 and 17330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17319 and 17330. First we will calculate the prime factors of 17319 and 17330.

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 17330

Prime factors of 17330 are 2, 5, 1733. Prime factorization of 17330 in exponential form is:

17330 = 21 × 51 × 17331

Now multiplying the highest exponent prime factors to calculate the LCM of 17319 and 17330.

LCM(17319,17330) = 31 × 231 × 2511 × 21 × 51 × 17331
LCM(17319,17330) = 300138270