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What is the Least Common Multiple of 11566 and 11585?

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 11566 and 11585 is 133992110.

LCM(11566,11585) = 133992110

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Least Common Multiple of 11566 and 11585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11566 and 11585, than apply into the LCM equation.

GCF(11566,11585) = 1
LCM(11566,11585) = ( 11566 × 11585) / 1
LCM(11566,11585) = 133992110 / 1
LCM(11566,11585) = 133992110

Least Common Multiple (LCM) of 11566 and 11585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11566 and 11585. First we will calculate the prime factors of 11566 and 11585.

Prime Factorization of 11566

Prime factors of 11566 are 2, 5783. Prime factorization of 11566 in exponential form is:

11566 = 21 × 57831

Prime Factorization of 11585

Prime factors of 11585 are 5, 7, 331. Prime factorization of 11585 in exponential form is:

11585 = 51 × 71 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 11566 and 11585.

LCM(11566,11585) = 21 × 57831 × 51 × 71 × 3311
LCM(11566,11585) = 133992110