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What is the Least Common Multiple of 12769 and 12786?

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 12769 and 12786 is 163264434.

LCM(12769,12786) = 163264434

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Least Common Multiple of 12769 and 12786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12769 and 12786, than apply into the LCM equation.

GCF(12769,12786) = 1
LCM(12769,12786) = ( 12769 × 12786) / 1
LCM(12769,12786) = 163264434 / 1
LCM(12769,12786) = 163264434

Least Common Multiple (LCM) of 12769 and 12786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12769 and 12786. First we will calculate the prime factors of 12769 and 12786.

Prime Factorization of 12769

Prime factors of 12769 are 113. Prime factorization of 12769 in exponential form is:

12769 = 1132

Prime Factorization of 12786

Prime factors of 12786 are 2, 3, 2131. Prime factorization of 12786 in exponential form is:

12786 = 21 × 31 × 21311

Now multiplying the highest exponent prime factors to calculate the LCM of 12769 and 12786.

LCM(12769,12786) = 1132 × 21 × 31 × 21311
LCM(12769,12786) = 163264434