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What is the Least Common Multiple of 12771 and 12789?

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 12771 and 12789 is 18147591.

LCM(12771,12789) = 18147591

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Least Common Multiple of 12771 and 12789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12771 and 12789, than apply into the LCM equation.

GCF(12771,12789) = 9
LCM(12771,12789) = ( 12771 × 12789) / 9
LCM(12771,12789) = 163328319 / 9
LCM(12771,12789) = 18147591

Least Common Multiple (LCM) of 12771 and 12789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12771 and 12789. First we will calculate the prime factors of 12771 and 12789.

Prime Factorization of 12771

Prime factors of 12771 are 3, 11, 43. Prime factorization of 12771 in exponential form is:

12771 = 33 × 111 × 431

Prime Factorization of 12789

Prime factors of 12789 are 3, 7, 29. Prime factorization of 12789 in exponential form is:

12789 = 32 × 72 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 12771 and 12789.

LCM(12771,12789) = 33 × 111 × 431 × 72 × 291
LCM(12771,12789) = 18147591