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What is the Least Common Multiple of 17165 and 17177?

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 17177 is 294843205.

LCM(17165,17177) = 294843205

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Least Common Multiple of 17165 and 17177 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 17177, than apply into the LCM equation.

GCF(17165,17177) = 1
LCM(17165,17177) = ( 17165 × 17177) / 1
LCM(17165,17177) = 294843205 / 1
LCM(17165,17177) = 294843205

Least Common Multiple (LCM) of 17165 and 17177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17165 and 17177. First we will calculate the prime factors of 17165 and 17177.

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 17177

Prime factors of 17177 are 89, 193. Prime factorization of 17177 in exponential form is:

17177 = 891 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 17165 and 17177.

LCM(17165,17177) = 51 × 34331 × 891 × 1931
LCM(17165,17177) = 294843205