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What is the Least Common Multiple of 17165 and 17176?

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 17176 is 294826040.

LCM(17165,17176) = 294826040

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Least Common Multiple of 17165 and 17176 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 17176, than apply into the LCM equation.

GCF(17165,17176) = 1
LCM(17165,17176) = ( 17165 × 17176) / 1
LCM(17165,17176) = 294826040 / 1
LCM(17165,17176) = 294826040

Least Common Multiple (LCM) of 17165 and 17176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17165 and 17176. First we will calculate the prime factors of 17165 and 17176.

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 17176

Prime factors of 17176 are 2, 19, 113. Prime factorization of 17176 in exponential form is:

17176 = 23 × 191 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 17165 and 17176.

LCM(17165,17176) = 51 × 34331 × 23 × 191 × 1131
LCM(17165,17176) = 294826040