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What is the Least Common Multiple of 191 and 210?

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 210 is 40110.

LCM(191,210) = 40110

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Least Common Multiple of 191 and 210 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 210, than apply into the LCM equation.

GCF(191,210) = 1
LCM(191,210) = ( 191 × 210) / 1
LCM(191,210) = 40110 / 1
LCM(191,210) = 40110

Least Common Multiple (LCM) of 191 and 210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 191 and 210. First we will calculate the prime factors of 191 and 210.

Prime Factorization of 191

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

191 = 1911

Prime Factorization of 210

Prime factors of 210 are 2, 3, 5, 7. Prime factorization of 210 in exponential form is:

210 = 21 × 31 × 51 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 191 and 210.

LCM(191,210) = 1911 × 21 × 31 × 51 × 71
LCM(191,210) = 40110

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