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What is the Least Common Multiple of 17189 and 17198?

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 17189 and 17198 is 295616422.

LCM(17189,17198) = 295616422

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Least Common Multiple of 17189 and 17198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17189 and 17198, than apply into the LCM equation.

GCF(17189,17198) = 1
LCM(17189,17198) = ( 17189 × 17198) / 1
LCM(17189,17198) = 295616422 / 1
LCM(17189,17198) = 295616422

Least Common Multiple (LCM) of 17189 and 17198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17189 and 17198. First we will calculate the prime factors of 17189 and 17198.

Prime Factorization of 17189

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

17189 = 171891

Prime Factorization of 17198

Prime factors of 17198 are 2, 8599. Prime factorization of 17198 in exponential form is:

17198 = 21 × 85991

Now multiplying the highest exponent prime factors to calculate the LCM of 17189 and 17198.

LCM(17189,17198) = 171891 × 21 × 85991
LCM(17189,17198) = 295616422