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What is the Least Common Multiple of 17844 and 17856?

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 17844 and 17856 is 26551872.

LCM(17844,17856) = 26551872

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Least Common Multiple of 17844 and 17856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17844 and 17856, than apply into the LCM equation.

GCF(17844,17856) = 12
LCM(17844,17856) = ( 17844 × 17856) / 12
LCM(17844,17856) = 318622464 / 12
LCM(17844,17856) = 26551872

Least Common Multiple (LCM) of 17844 and 17856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17844 and 17856. First we will calculate the prime factors of 17844 and 17856.

Prime Factorization of 17844

Prime factors of 17844 are 2, 3, 1487. Prime factorization of 17844 in exponential form is:

17844 = 22 × 31 × 14871

Prime Factorization of 17856

Prime factors of 17856 are 2, 3, 31. Prime factorization of 17856 in exponential form is:

17856 = 26 × 32 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 17844 and 17856.

LCM(17844,17856) = 26 × 32 × 14871 × 311
LCM(17844,17856) = 26551872