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What is the Least Common Multiple of 5806 and 5824?

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 5806 and 5824 is 16907072.

LCM(5806,5824) = 16907072

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Least Common Multiple of 5806 and 5824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5806 and 5824, than apply into the LCM equation.

GCF(5806,5824) = 2
LCM(5806,5824) = ( 5806 × 5824) / 2
LCM(5806,5824) = 33814144 / 2
LCM(5806,5824) = 16907072

Least Common Multiple (LCM) of 5806 and 5824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5806 and 5824. First we will calculate the prime factors of 5806 and 5824.

Prime Factorization of 5806

Prime factors of 5806 are 2, 2903. Prime factorization of 5806 in exponential form is:

5806 = 21 × 29031

Prime Factorization of 5824

Prime factors of 5824 are 2, 7, 13. Prime factorization of 5824 in exponential form is:

5824 = 26 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 5806 and 5824.

LCM(5806,5824) = 26 × 29031 × 71 × 131
LCM(5806,5824) = 16907072