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What is the Least Common Multiple of 10786 and 10805?

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 10786 and 10805 is 116542730.

LCM(10786,10805) = 116542730

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Least Common Multiple of 10786 and 10805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10786 and 10805, than apply into the LCM equation.

GCF(10786,10805) = 1
LCM(10786,10805) = ( 10786 × 10805) / 1
LCM(10786,10805) = 116542730 / 1
LCM(10786,10805) = 116542730

Least Common Multiple (LCM) of 10786 and 10805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10786 and 10805. First we will calculate the prime factors of 10786 and 10805.

Prime Factorization of 10786

Prime factors of 10786 are 2, 5393. Prime factorization of 10786 in exponential form is:

10786 = 21 × 53931

Prime Factorization of 10805

Prime factors of 10805 are 5, 2161. Prime factorization of 10805 in exponential form is:

10805 = 51 × 21611

Now multiplying the highest exponent prime factors to calculate the LCM of 10786 and 10805.

LCM(10786,10805) = 21 × 53931 × 51 × 21611
LCM(10786,10805) = 116542730