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What is the Least Common Multiple of 11173 and 11191?

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 11173 and 11191 is 125037043.

LCM(11173,11191) = 125037043

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Least Common Multiple of 11173 and 11191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11173 and 11191, than apply into the LCM equation.

GCF(11173,11191) = 1
LCM(11173,11191) = ( 11173 × 11191) / 1
LCM(11173,11191) = 125037043 / 1
LCM(11173,11191) = 125037043

Least Common Multiple (LCM) of 11173 and 11191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11173 and 11191. First we will calculate the prime factors of 11173 and 11191.

Prime Factorization of 11173

Prime factors of 11173 are 11173. Prime factorization of 11173 in exponential form is:

11173 = 111731

Prime Factorization of 11191

Prime factors of 11191 are 19, 31. Prime factorization of 11191 in exponential form is:

11191 = 192 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 11173 and 11191.

LCM(11173,11191) = 111731 × 192 × 311
LCM(11173,11191) = 125037043