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What is the Least Common Multiple of 17131 and 17147?

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 17131 and 17147 is 293745257.

LCM(17131,17147) = 293745257

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Least Common Multiple of 17131 and 17147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17131 and 17147, than apply into the LCM equation.

GCF(17131,17147) = 1
LCM(17131,17147) = ( 17131 × 17147) / 1
LCM(17131,17147) = 293745257 / 1
LCM(17131,17147) = 293745257

Least Common Multiple (LCM) of 17131 and 17147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17131 and 17147. First we will calculate the prime factors of 17131 and 17147.

Prime Factorization of 17131

Prime factors of 17131 are 37, 463. Prime factorization of 17131 in exponential form is:

17131 = 371 × 4631

Prime Factorization of 17147

Prime factors of 17147 are 13, 1319. Prime factorization of 17147 in exponential form is:

17147 = 131 × 13191

Now multiplying the highest exponent prime factors to calculate the LCM of 17131 and 17147.

LCM(17131,17147) = 371 × 4631 × 131 × 13191
LCM(17131,17147) = 293745257