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What is the Least Common Multiple of 12883 and 12896?

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 12883 and 12896 is 12779936.

LCM(12883,12896) = 12779936

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Least Common Multiple of 12883 and 12896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12883 and 12896, than apply into the LCM equation.

GCF(12883,12896) = 13
LCM(12883,12896) = ( 12883 × 12896) / 13
LCM(12883,12896) = 166139168 / 13
LCM(12883,12896) = 12779936

Least Common Multiple (LCM) of 12883 and 12896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12883 and 12896. First we will calculate the prime factors of 12883 and 12896.

Prime Factorization of 12883

Prime factors of 12883 are 13, 991. Prime factorization of 12883 in exponential form is:

12883 = 131 × 9911

Prime Factorization of 12896

Prime factors of 12896 are 2, 13, 31. Prime factorization of 12896 in exponential form is:

12896 = 25 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 12883 and 12896.

LCM(12883,12896) = 131 × 9911 × 25 × 311
LCM(12883,12896) = 12779936