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What is the Least Common Multiple of 12786 and 12806?

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 12786 and 12806 is 81868758.

LCM(12786,12806) = 81868758

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Least Common Multiple of 12786 and 12806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12786 and 12806, than apply into the LCM equation.

GCF(12786,12806) = 2
LCM(12786,12806) = ( 12786 × 12806) / 2
LCM(12786,12806) = 163737516 / 2
LCM(12786,12806) = 81868758

Least Common Multiple (LCM) of 12786 and 12806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12786 and 12806. First we will calculate the prime factors of 12786 and 12806.

Prime Factorization of 12786

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

12786 = 21 × 31 × 21311

Prime Factorization of 12806

Prime factors of 12806 are 2, 19, 337. Prime factorization of 12806 in exponential form is:

12806 = 21 × 191 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 12786 and 12806.

LCM(12786,12806) = 21 × 31 × 21311 × 191 × 3371
LCM(12786,12806) = 81868758