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What is the Least Common Multiple of 17317 and 17335?

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 17317 and 17335 is 300190195.

LCM(17317,17335) = 300190195

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Least Common Multiple of 17317 and 17335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17317 and 17335, than apply into the LCM equation.

GCF(17317,17335) = 1
LCM(17317,17335) = ( 17317 × 17335) / 1
LCM(17317,17335) = 300190195 / 1
LCM(17317,17335) = 300190195

Least Common Multiple (LCM) of 17317 and 17335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17317 and 17335. First we will calculate the prime factors of 17317 and 17335.

Prime Factorization of 17317

Prime factors of 17317 are 17317. Prime factorization of 17317 in exponential form is:

17317 = 173171

Prime Factorization of 17335

Prime factors of 17335 are 5, 3467. Prime factorization of 17335 in exponential form is:

17335 = 51 × 34671

Now multiplying the highest exponent prime factors to calculate the LCM of 17317 and 17335.

LCM(17317,17335) = 173171 × 51 × 34671
LCM(17317,17335) = 300190195