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What is the Least Common Multiple of 12849 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 12849 and 12867 is 55109361.

LCM(12849,12867) = 55109361

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Least Common Multiple of 12849 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 12849 and 12867, than apply into the LCM equation.

GCF(12849,12867) = 3
LCM(12849,12867) = ( 12849 × 12867) / 3
LCM(12849,12867) = 165328083 / 3
LCM(12849,12867) = 55109361

Least Common Multiple (LCM) of 12849 and 12867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12849 and 12867. First we will calculate the prime factors of 12849 and 12867.

Prime Factorization of 12849

Prime factors of 12849 are 3, 4283. Prime factorization of 12849 in exponential form is:

12849 = 31 × 42831

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 12849 and 12867.

LCM(12849,12867) = 31 × 42831 × 42891
LCM(12849,12867) = 55109361