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What is the Least Common Multiple of 12837 and 12849?

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 12837 and 12849 is 54980871.

LCM(12837,12849) = 54980871

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Least Common Multiple of 12837 and 12849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12837 and 12849, than apply into the LCM equation.

GCF(12837,12849) = 3
LCM(12837,12849) = ( 12837 × 12849) / 3
LCM(12837,12849) = 164942613 / 3
LCM(12837,12849) = 54980871

Least Common Multiple (LCM) of 12837 and 12849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12837 and 12849. First we will calculate the prime factors of 12837 and 12849.

Prime Factorization of 12837

Prime factors of 12837 are 3, 11, 389. Prime factorization of 12837 in exponential form is:

12837 = 31 × 111 × 3891

Prime Factorization of 12849

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

12849 = 31 × 42831

Now multiplying the highest exponent prime factors to calculate the LCM of 12837 and 12849.

LCM(12837,12849) = 31 × 111 × 3891 × 42831
LCM(12837,12849) = 54980871