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What is the Least Common Multiple of 12882 and 12897?

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 12882 and 12897 is 55379718.

LCM(12882,12897) = 55379718

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Least Common Multiple of 12882 and 12897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12882 and 12897, than apply into the LCM equation.

GCF(12882,12897) = 3
LCM(12882,12897) = ( 12882 × 12897) / 3
LCM(12882,12897) = 166139154 / 3
LCM(12882,12897) = 55379718

Least Common Multiple (LCM) of 12882 and 12897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12882 and 12897. First we will calculate the prime factors of 12882 and 12897.

Prime Factorization of 12882

Prime factors of 12882 are 2, 3, 19, 113. Prime factorization of 12882 in exponential form is:

12882 = 21 × 31 × 191 × 1131

Prime Factorization of 12897

Prime factors of 12897 are 3, 1433. Prime factorization of 12897 in exponential form is:

12897 = 32 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 12882 and 12897.

LCM(12882,12897) = 21 × 32 × 191 × 1131 × 14331
LCM(12882,12897) = 55379718