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What is the Least Common Multiple of 17391 and 17398?

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 17391 and 17398 is 302568618.

LCM(17391,17398) = 302568618

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Least Common Multiple of 17391 and 17398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17391 and 17398, than apply into the LCM equation.

GCF(17391,17398) = 1
LCM(17391,17398) = ( 17391 × 17398) / 1
LCM(17391,17398) = 302568618 / 1
LCM(17391,17398) = 302568618

Least Common Multiple (LCM) of 17391 and 17398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17391 and 17398. First we will calculate the prime factors of 17391 and 17398.

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

Prime Factorization of 17398

Prime factors of 17398 are 2, 8699. Prime factorization of 17398 in exponential form is:

17398 = 21 × 86991

Now multiplying the highest exponent prime factors to calculate the LCM of 17391 and 17398.

LCM(17391,17398) = 31 × 111 × 171 × 311 × 21 × 86991
LCM(17391,17398) = 302568618