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What is the Least Common Multiple of 191 and 199?

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 191 and 199 is 38009.

LCM(191,199) = 38009

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Least Common Multiple of 191 and 199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 191 and 199, than apply into the LCM equation.

GCF(191,199) = 1
LCM(191,199) = ( 191 × 199) / 1
LCM(191,199) = 38009 / 1
LCM(191,199) = 38009

Least Common Multiple (LCM) of 191 and 199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 191 and 199. First we will calculate the prime factors of 191 and 199.

Prime Factorization of 191

Prime factors of 191 are 191. Prime factorization of 191 in exponential form is:

191 = 1911

Prime Factorization of 199

Prime factors of 199 are 199. Prime factorization of 199 in exponential form is:

199 = 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 191 and 199.

LCM(191,199) = 1911 × 1991
LCM(191,199) = 38009

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