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What is the Least Common Multiple of 5786 and 5806?

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 5786 and 5806 is 16796758.

LCM(5786,5806) = 16796758

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Least Common Multiple of 5786 and 5806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5786 and 5806, than apply into the LCM equation.

GCF(5786,5806) = 2
LCM(5786,5806) = ( 5786 × 5806) / 2
LCM(5786,5806) = 33593516 / 2
LCM(5786,5806) = 16796758

Least Common Multiple (LCM) of 5786 and 5806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5786 and 5806. First we will calculate the prime factors of 5786 and 5806.

Prime Factorization of 5786

Prime factors of 5786 are 2, 11, 263. Prime factorization of 5786 in exponential form is:

5786 = 21 × 111 × 2631

Prime Factorization of 5806

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

5806 = 21 × 29031

Now multiplying the highest exponent prime factors to calculate the LCM of 5786 and 5806.

LCM(5786,5806) = 21 × 111 × 2631 × 29031
LCM(5786,5806) = 16796758