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What is the Least Common Multiple of 11191 and 11199?

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 11191 and 11199 is 125328009.

LCM(11191,11199) = 125328009

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Least Common Multiple of 11191 and 11199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11191 and 11199, than apply into the LCM equation.

GCF(11191,11199) = 1
LCM(11191,11199) = ( 11191 × 11199) / 1
LCM(11191,11199) = 125328009 / 1
LCM(11191,11199) = 125328009

Least Common Multiple (LCM) of 11191 and 11199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11191 and 11199. First we will calculate the prime factors of 11191 and 11199.

Prime Factorization of 11191

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

11191 = 192 × 311

Prime Factorization of 11199

Prime factors of 11199 are 3, 3733. Prime factorization of 11199 in exponential form is:

11199 = 31 × 37331

Now multiplying the highest exponent prime factors to calculate the LCM of 11191 and 11199.

LCM(11191,11199) = 192 × 311 × 31 × 37331
LCM(11191,11199) = 125328009