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What is the Least Common Multiple of 16808 and 16816?

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 16808 and 16816 is 35330416.

LCM(16808,16816) = 35330416

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Least Common Multiple of 16808 and 16816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16808 and 16816, than apply into the LCM equation.

GCF(16808,16816) = 8
LCM(16808,16816) = ( 16808 × 16816) / 8
LCM(16808,16816) = 282643328 / 8
LCM(16808,16816) = 35330416

Least Common Multiple (LCM) of 16808 and 16816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16808 and 16816. First we will calculate the prime factors of 16808 and 16816.

Prime Factorization of 16808

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

16808 = 23 × 111 × 1911

Prime Factorization of 16816

Prime factors of 16816 are 2, 1051. Prime factorization of 16816 in exponential form is:

16816 = 24 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 16808 and 16816.

LCM(16808,16816) = 24 × 111 × 1911 × 10511
LCM(16808,16816) = 35330416