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What is the Least Common Multiple of 17330 and 17349?

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 17330 and 17349 is 300658170.

LCM(17330,17349) = 300658170

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Least Common Multiple of 17330 and 17349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17330 and 17349, than apply into the LCM equation.

GCF(17330,17349) = 1
LCM(17330,17349) = ( 17330 × 17349) / 1
LCM(17330,17349) = 300658170 / 1
LCM(17330,17349) = 300658170

Least Common Multiple (LCM) of 17330 and 17349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17330 and 17349. First we will calculate the prime factors of 17330 and 17349.

Prime Factorization of 17330

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

17330 = 21 × 51 × 17331

Prime Factorization of 17349

Prime factors of 17349 are 3, 5783. Prime factorization of 17349 in exponential form is:

17349 = 31 × 57831

Now multiplying the highest exponent prime factors to calculate the LCM of 17330 and 17349.

LCM(17330,17349) = 21 × 51 × 17331 × 31 × 57831
LCM(17330,17349) = 300658170