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What is the Least Common Multiple of 12786 and 12803?

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 12803 is 163699158.

LCM(12786,12803) = 163699158

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Least Common Multiple of 12786 and 12803 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 12803, than apply into the LCM equation.

GCF(12786,12803) = 1
LCM(12786,12803) = ( 12786 × 12803) / 1
LCM(12786,12803) = 163699158 / 1
LCM(12786,12803) = 163699158

Least Common Multiple (LCM) of 12786 and 12803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12786 and 12803. First we will calculate the prime factors of 12786 and 12803.

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 12803

Prime factors of 12803 are 7, 31, 59. Prime factorization of 12803 in exponential form is:

12803 = 71 × 311 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 12786 and 12803.

LCM(12786,12803) = 21 × 31 × 21311 × 71 × 311 × 591
LCM(12786,12803) = 163699158