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What is the Least Common Multiple of 12863 and 12873?

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 12863 and 12873 is 165585399.

LCM(12863,12873) = 165585399

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Least Common Multiple of 12863 and 12873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12863 and 12873, than apply into the LCM equation.

GCF(12863,12873) = 1
LCM(12863,12873) = ( 12863 × 12873) / 1
LCM(12863,12873) = 165585399 / 1
LCM(12863,12873) = 165585399

Least Common Multiple (LCM) of 12863 and 12873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12863 and 12873. First we will calculate the prime factors of 12863 and 12873.

Prime Factorization of 12863

Prime factors of 12863 are 19, 677. Prime factorization of 12863 in exponential form is:

12863 = 191 × 6771

Prime Factorization of 12873

Prime factors of 12873 are 3, 7, 613. Prime factorization of 12873 in exponential form is:

12873 = 31 × 71 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 12863 and 12873.

LCM(12863,12873) = 191 × 6771 × 31 × 71 × 6131
LCM(12863,12873) = 165585399