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What is the Least Common Multiple of 17183 and 17187?

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 17183 and 17187 is 295324221.

LCM(17183,17187) = 295324221

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Least Common Multiple of 17183 and 17187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17183 and 17187, than apply into the LCM equation.

GCF(17183,17187) = 1
LCM(17183,17187) = ( 17183 × 17187) / 1
LCM(17183,17187) = 295324221 / 1
LCM(17183,17187) = 295324221

Least Common Multiple (LCM) of 17183 and 17187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17183 and 17187. First we will calculate the prime factors of 17183 and 17187.

Prime Factorization of 17183

Prime factors of 17183 are 17183. Prime factorization of 17183 in exponential form is:

17183 = 171831

Prime Factorization of 17187

Prime factors of 17187 are 3, 17, 337. Prime factorization of 17187 in exponential form is:

17187 = 31 × 171 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 17183 and 17187.

LCM(17183,17187) = 171831 × 31 × 171 × 3371
LCM(17183,17187) = 295324221