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What is the Least Common Multiple of 17165 and 17175?

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 17165 and 17175 is 58961775.

LCM(17165,17175) = 58961775

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Least Common Multiple of 17165 and 17175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17165 and 17175, than apply into the LCM equation.

GCF(17165,17175) = 5
LCM(17165,17175) = ( 17165 × 17175) / 5
LCM(17165,17175) = 294808875 / 5
LCM(17165,17175) = 58961775

Least Common Multiple (LCM) of 17165 and 17175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17165 and 17175. First we will calculate the prime factors of 17165 and 17175.

Prime Factorization of 17165

Prime factors of 17165 are 5, 3433. Prime factorization of 17165 in exponential form is:

17165 = 51 × 34331

Prime Factorization of 17175

Prime factors of 17175 are 3, 5, 229. Prime factorization of 17175 in exponential form is:

17175 = 31 × 52 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 17165 and 17175.

LCM(17165,17175) = 52 × 34331 × 31 × 2291
LCM(17165,17175) = 58961775