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What is the Least Common Multiple of 191 and 195?

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 195 is 37245.

LCM(191,195) = 37245

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Least Common Multiple of 191 and 195 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 195, than apply into the LCM equation.

GCF(191,195) = 1
LCM(191,195) = ( 191 × 195) / 1
LCM(191,195) = 37245 / 1
LCM(191,195) = 37245

Least Common Multiple (LCM) of 191 and 195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 191 and 195. First we will calculate the prime factors of 191 and 195.

Prime Factorization of 191

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

191 = 1911

Prime Factorization of 195

Prime factors of 195 are 3, 5, 13. Prime factorization of 195 in exponential form is:

195 = 31 × 51 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 191 and 195.

LCM(191,195) = 1911 × 31 × 51 × 131
LCM(191,195) = 37245

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