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What is the Least Common Multiple of 17173 and 17189?

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 17173 and 17189 is 295186697.

LCM(17173,17189) = 295186697

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Least Common Multiple of 17173 and 17189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17173 and 17189, than apply into the LCM equation.

GCF(17173,17189) = 1
LCM(17173,17189) = ( 17173 × 17189) / 1
LCM(17173,17189) = 295186697 / 1
LCM(17173,17189) = 295186697

Least Common Multiple (LCM) of 17173 and 17189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17173 and 17189. First we will calculate the prime factors of 17173 and 17189.

Prime Factorization of 17173

Prime factors of 17173 are 13, 1321. Prime factorization of 17173 in exponential form is:

17173 = 131 × 13211

Prime Factorization of 17189

Prime factors of 17189 are 17189. Prime factorization of 17189 in exponential form is:

17189 = 171891

Now multiplying the highest exponent prime factors to calculate the LCM of 17173 and 17189.

LCM(17173,17189) = 131 × 13211 × 171891
LCM(17173,17189) = 295186697