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What is the Least Common Multiple of 11785 and 11805?

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 11785 and 11805 is 27824385.

LCM(11785,11805) = 27824385

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Least Common Multiple of 11785 and 11805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11785 and 11805, than apply into the LCM equation.

GCF(11785,11805) = 5
LCM(11785,11805) = ( 11785 × 11805) / 5
LCM(11785,11805) = 139121925 / 5
LCM(11785,11805) = 27824385

Least Common Multiple (LCM) of 11785 and 11805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11785 and 11805. First we will calculate the prime factors of 11785 and 11805.

Prime Factorization of 11785

Prime factors of 11785 are 5, 2357. Prime factorization of 11785 in exponential form is:

11785 = 51 × 23571

Prime Factorization of 11805

Prime factors of 11805 are 3, 5, 787. Prime factorization of 11805 in exponential form is:

11805 = 31 × 51 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 11785 and 11805.

LCM(11785,11805) = 51 × 23571 × 31 × 7871
LCM(11785,11805) = 27824385