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What is the Least Common Multiple of 17321 and 17328?

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 17321 and 17328 is 300138288.

LCM(17321,17328) = 300138288

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Least Common Multiple of 17321 and 17328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17321 and 17328, than apply into the LCM equation.

GCF(17321,17328) = 1
LCM(17321,17328) = ( 17321 × 17328) / 1
LCM(17321,17328) = 300138288 / 1
LCM(17321,17328) = 300138288

Least Common Multiple (LCM) of 17321 and 17328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17321 and 17328. First we will calculate the prime factors of 17321 and 17328.

Prime Factorization of 17321

Prime factors of 17321 are 17321. Prime factorization of 17321 in exponential form is:

17321 = 173211

Prime Factorization of 17328

Prime factors of 17328 are 2, 3, 19. Prime factorization of 17328 in exponential form is:

17328 = 24 × 31 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 17321 and 17328.

LCM(17321,17328) = 173211 × 24 × 31 × 192
LCM(17321,17328) = 300138288