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What is the Least Common Multiple of 5804 and 5819?

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 5804 and 5819 is 33773476.

LCM(5804,5819) = 33773476

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Least Common Multiple of 5804 and 5819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5804 and 5819, than apply into the LCM equation.

GCF(5804,5819) = 1
LCM(5804,5819) = ( 5804 × 5819) / 1
LCM(5804,5819) = 33773476 / 1
LCM(5804,5819) = 33773476

Least Common Multiple (LCM) of 5804 and 5819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5804 and 5819. First we will calculate the prime factors of 5804 and 5819.

Prime Factorization of 5804

Prime factors of 5804 are 2, 1451. Prime factorization of 5804 in exponential form is:

5804 = 22 × 14511

Prime Factorization of 5819

Prime factors of 5819 are 11, 23. Prime factorization of 5819 in exponential form is:

5819 = 111 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 5804 and 5819.

LCM(5804,5819) = 22 × 14511 × 111 × 232
LCM(5804,5819) = 33773476