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What is the Least Common Multiple of 12865 and 12872?

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 12865 and 12872 is 165598280.

LCM(12865,12872) = 165598280

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Least Common Multiple of 12865 and 12872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12865 and 12872, than apply into the LCM equation.

GCF(12865,12872) = 1
LCM(12865,12872) = ( 12865 × 12872) / 1
LCM(12865,12872) = 165598280 / 1
LCM(12865,12872) = 165598280

Least Common Multiple (LCM) of 12865 and 12872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12865 and 12872. First we will calculate the prime factors of 12865 and 12872.

Prime Factorization of 12865

Prime factors of 12865 are 5, 31, 83. Prime factorization of 12865 in exponential form is:

12865 = 51 × 311 × 831

Prime Factorization of 12872

Prime factors of 12872 are 2, 1609. Prime factorization of 12872 in exponential form is:

12872 = 23 × 16091

Now multiplying the highest exponent prime factors to calculate the LCM of 12865 and 12872.

LCM(12865,12872) = 51 × 311 × 831 × 23 × 16091
LCM(12865,12872) = 165598280