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What is the Least Common Multiple of 12847 and 12867?

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 12847 and 12867 is 165302349.

LCM(12847,12867) = 165302349

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Least Common Multiple of 12847 and 12867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12847 and 12867, than apply into the LCM equation.

GCF(12847,12867) = 1
LCM(12847,12867) = ( 12847 × 12867) / 1
LCM(12847,12867) = 165302349 / 1
LCM(12847,12867) = 165302349

Least Common Multiple (LCM) of 12847 and 12867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12847 and 12867. First we will calculate the prime factors of 12847 and 12867.

Prime Factorization of 12847

Prime factors of 12847 are 29, 443. Prime factorization of 12847 in exponential form is:

12847 = 291 × 4431

Prime Factorization of 12867

Prime factors of 12867 are 3, 4289. Prime factorization of 12867 in exponential form is:

12867 = 31 × 42891

Now multiplying the highest exponent prime factors to calculate the LCM of 12847 and 12867.

LCM(12847,12867) = 291 × 4431 × 31 × 42891
LCM(12847,12867) = 165302349