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What is the Least Common Multiple of 13166 and 13185?

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 13166 and 13185 is 173593710.

LCM(13166,13185) = 173593710

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Least Common Multiple of 13166 and 13185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13166 and 13185, than apply into the LCM equation.

GCF(13166,13185) = 1
LCM(13166,13185) = ( 13166 × 13185) / 1
LCM(13166,13185) = 173593710 / 1
LCM(13166,13185) = 173593710

Least Common Multiple (LCM) of 13166 and 13185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13166 and 13185. First we will calculate the prime factors of 13166 and 13185.

Prime Factorization of 13166

Prime factors of 13166 are 2, 29, 227. Prime factorization of 13166 in exponential form is:

13166 = 21 × 291 × 2271

Prime Factorization of 13185

Prime factors of 13185 are 3, 5, 293. Prime factorization of 13185 in exponential form is:

13185 = 32 × 51 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 13166 and 13185.

LCM(13166,13185) = 21 × 291 × 2271 × 32 × 51 × 2931
LCM(13166,13185) = 173593710