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What is the Least Common Multiple of 13146 and 13166?

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 13146 and 13166 is 86540118.

LCM(13146,13166) = 86540118

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Least Common Multiple of 13146 and 13166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13146 and 13166, than apply into the LCM equation.

GCF(13146,13166) = 2
LCM(13146,13166) = ( 13146 × 13166) / 2
LCM(13146,13166) = 173080236 / 2
LCM(13146,13166) = 86540118

Least Common Multiple (LCM) of 13146 and 13166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13146 and 13166. First we will calculate the prime factors of 13146 and 13166.

Prime Factorization of 13146

Prime factors of 13146 are 2, 3, 7, 313. Prime factorization of 13146 in exponential form is:

13146 = 21 × 31 × 71 × 3131

Prime Factorization of 13166

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

13166 = 21 × 291 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 13146 and 13166.

LCM(13146,13166) = 21 × 31 × 71 × 3131 × 291 × 2271
LCM(13146,13166) = 86540118