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What is the Least Common Multiple of 16904 and 16910?

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 16904 and 16910 is 142923320.

LCM(16904,16910) = 142923320

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Least Common Multiple of 16904 and 16910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16904 and 16910, than apply into the LCM equation.

GCF(16904,16910) = 2
LCM(16904,16910) = ( 16904 × 16910) / 2
LCM(16904,16910) = 285846640 / 2
LCM(16904,16910) = 142923320

Least Common Multiple (LCM) of 16904 and 16910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16904 and 16910. First we will calculate the prime factors of 16904 and 16910.

Prime Factorization of 16904

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

16904 = 23 × 21131

Prime Factorization of 16910

Prime factors of 16910 are 2, 5, 19, 89. Prime factorization of 16910 in exponential form is:

16910 = 21 × 51 × 191 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 16904 and 16910.

LCM(16904,16910) = 23 × 21131 × 51 × 191 × 891
LCM(16904,16910) = 142923320