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What is the Least Common Multiple of 17373 and 17391?

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 17373 and 17391 is 100711281.

LCM(17373,17391) = 100711281

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Least Common Multiple of 17373 and 17391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17373 and 17391, than apply into the LCM equation.

GCF(17373,17391) = 3
LCM(17373,17391) = ( 17373 × 17391) / 3
LCM(17373,17391) = 302133843 / 3
LCM(17373,17391) = 100711281

Least Common Multiple (LCM) of 17373 and 17391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17373 and 17391. First we will calculate the prime factors of 17373 and 17391.

Prime Factorization of 17373

Prime factors of 17373 are 3, 5791. Prime factorization of 17373 in exponential form is:

17373 = 31 × 57911

Prime Factorization of 17391

Prime factors of 17391 are 3, 11, 17, 31. Prime factorization of 17391 in exponential form is:

17391 = 31 × 111 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 17373 and 17391.

LCM(17373,17391) = 31 × 57911 × 111 × 171 × 311
LCM(17373,17391) = 100711281