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What is the Least Common Multiple of 12866 and 12882?

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 12866 and 12882 is 82869906.

LCM(12866,12882) = 82869906

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Least Common Multiple of 12866 and 12882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12866 and 12882, than apply into the LCM equation.

GCF(12866,12882) = 2
LCM(12866,12882) = ( 12866 × 12882) / 2
LCM(12866,12882) = 165739812 / 2
LCM(12866,12882) = 82869906

Least Common Multiple (LCM) of 12866 and 12882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12866 and 12882. First we will calculate the prime factors of 12866 and 12882.

Prime Factorization of 12866

Prime factors of 12866 are 2, 7, 919. Prime factorization of 12866 in exponential form is:

12866 = 21 × 71 × 9191

Prime Factorization of 12882

Prime factors of 12882 are 2, 3, 19, 113. Prime factorization of 12882 in exponential form is:

12882 = 21 × 31 × 191 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 12866 and 12882.

LCM(12866,12882) = 21 × 71 × 9191 × 31 × 191 × 1131
LCM(12866,12882) = 82869906