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What is the Least Common Multiple of 12864 and 12876?

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 12864 and 12876 is 13803072.

LCM(12864,12876) = 13803072

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Least Common Multiple of 12864 and 12876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12864 and 12876, than apply into the LCM equation.

GCF(12864,12876) = 12
LCM(12864,12876) = ( 12864 × 12876) / 12
LCM(12864,12876) = 165636864 / 12
LCM(12864,12876) = 13803072

Least Common Multiple (LCM) of 12864 and 12876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12864 and 12876. First we will calculate the prime factors of 12864 and 12876.

Prime Factorization of 12864

Prime factors of 12864 are 2, 3, 67. Prime factorization of 12864 in exponential form is:

12864 = 26 × 31 × 671

Prime Factorization of 12876

Prime factors of 12876 are 2, 3, 29, 37. Prime factorization of 12876 in exponential form is:

12876 = 22 × 31 × 291 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 12864 and 12876.

LCM(12864,12876) = 26 × 31 × 671 × 291 × 371
LCM(12864,12876) = 13803072