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What is the Least Common Multiple of 12839 and 12855?

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 12839 and 12855 is 165045345.

LCM(12839,12855) = 165045345

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Least Common Multiple of 12839 and 12855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12839 and 12855, than apply into the LCM equation.

GCF(12839,12855) = 1
LCM(12839,12855) = ( 12839 × 12855) / 1
LCM(12839,12855) = 165045345 / 1
LCM(12839,12855) = 165045345

Least Common Multiple (LCM) of 12839 and 12855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12839 and 12855. First we will calculate the prime factors of 12839 and 12855.

Prime Factorization of 12839

Prime factors of 12839 are 37, 347. Prime factorization of 12839 in exponential form is:

12839 = 371 × 3471

Prime Factorization of 12855

Prime factors of 12855 are 3, 5, 857. Prime factorization of 12855 in exponential form is:

12855 = 31 × 51 × 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 12839 and 12855.

LCM(12839,12855) = 371 × 3471 × 31 × 51 × 8571
LCM(12839,12855) = 165045345