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What is the Least Common Multiple of 16799 and 16808?

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 16799 and 16808 is 282357592.

LCM(16799,16808) = 282357592

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Least Common Multiple of 16799 and 16808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16799 and 16808, than apply into the LCM equation.

GCF(16799,16808) = 1
LCM(16799,16808) = ( 16799 × 16808) / 1
LCM(16799,16808) = 282357592 / 1
LCM(16799,16808) = 282357592

Least Common Multiple (LCM) of 16799 and 16808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16799 and 16808. First we will calculate the prime factors of 16799 and 16808.

Prime Factorization of 16799

Prime factors of 16799 are 107, 157. Prime factorization of 16799 in exponential form is:

16799 = 1071 × 1571

Prime Factorization of 16808

Prime factors of 16808 are 2, 11, 191. Prime factorization of 16808 in exponential form is:

16808 = 23 × 111 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 16799 and 16808.

LCM(16799,16808) = 1071 × 1571 × 23 × 111 × 1911
LCM(16799,16808) = 282357592