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What is the Least Common Multiple of 17321 and 17341?

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 17341 is 300363461.

LCM(17321,17341) = 300363461

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Least Common Multiple of 17321 and 17341 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 17341, than apply into the LCM equation.

GCF(17321,17341) = 1
LCM(17321,17341) = ( 17321 × 17341) / 1
LCM(17321,17341) = 300363461 / 1
LCM(17321,17341) = 300363461

Least Common Multiple (LCM) of 17321 and 17341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17321 and 17341. First we will calculate the prime factors of 17321 and 17341.

Prime Factorization of 17321

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

17321 = 173211

Prime Factorization of 17341

Prime factors of 17341 are 17341. Prime factorization of 17341 in exponential form is:

17341 = 173411

Now multiplying the highest exponent prime factors to calculate the LCM of 17321 and 17341.

LCM(17321,17341) = 173211 × 173411
LCM(17321,17341) = 300363461