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What is the Least Common Multiple of 16899 and 16904?

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 16899 and 16904 is 285660696.

LCM(16899,16904) = 285660696

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Least Common Multiple of 16899 and 16904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16899 and 16904, than apply into the LCM equation.

GCF(16899,16904) = 1
LCM(16899,16904) = ( 16899 × 16904) / 1
LCM(16899,16904) = 285660696 / 1
LCM(16899,16904) = 285660696

Least Common Multiple (LCM) of 16899 and 16904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16899 and 16904. First we will calculate the prime factors of 16899 and 16904.

Prime Factorization of 16899

Prime factors of 16899 are 3, 43, 131. Prime factorization of 16899 in exponential form is:

16899 = 31 × 431 × 1311

Prime Factorization of 16904

Prime factors of 16904 are 2, 2113. Prime factorization of 16904 in exponential form is:

16904 = 23 × 21131

Now multiplying the highest exponent prime factors to calculate the LCM of 16899 and 16904.

LCM(16899,16904) = 31 × 431 × 1311 × 23 × 21131
LCM(16899,16904) = 285660696