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What is the Least Common Multiple of 17185 and 17195?

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 17185 and 17195 is 59099215.

LCM(17185,17195) = 59099215

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Least Common Multiple of 17185 and 17195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17185 and 17195, than apply into the LCM equation.

GCF(17185,17195) = 5
LCM(17185,17195) = ( 17185 × 17195) / 5
LCM(17185,17195) = 295496075 / 5
LCM(17185,17195) = 59099215

Least Common Multiple (LCM) of 17185 and 17195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17185 and 17195. First we will calculate the prime factors of 17185 and 17195.

Prime Factorization of 17185

Prime factors of 17185 are 5, 7, 491. Prime factorization of 17185 in exponential form is:

17185 = 51 × 71 × 4911

Prime Factorization of 17195

Prime factors of 17195 are 5, 19, 181. Prime factorization of 17195 in exponential form is:

17195 = 51 × 191 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 17185 and 17195.

LCM(17185,17195) = 51 × 71 × 4911 × 191 × 1811
LCM(17185,17195) = 59099215