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What is the Least Common Multiple of 12801 and 12805?

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 12801 and 12805 is 163916805.

LCM(12801,12805) = 163916805

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Least Common Multiple of 12801 and 12805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12801 and 12805, than apply into the LCM equation.

GCF(12801,12805) = 1
LCM(12801,12805) = ( 12801 × 12805) / 1
LCM(12801,12805) = 163916805 / 1
LCM(12801,12805) = 163916805

Least Common Multiple (LCM) of 12801 and 12805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12801 and 12805. First we will calculate the prime factors of 12801 and 12805.

Prime Factorization of 12801

Prime factors of 12801 are 3, 17, 251. Prime factorization of 12801 in exponential form is:

12801 = 31 × 171 × 2511

Prime Factorization of 12805

Prime factors of 12805 are 5, 13, 197. Prime factorization of 12805 in exponential form is:

12805 = 51 × 131 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 12801 and 12805.

LCM(12801,12805) = 31 × 171 × 2511 × 51 × 131 × 1971
LCM(12801,12805) = 163916805