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What is the Least Common Multiple of 47177 and 47191?

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 47177 and 47191 is 2226329807.

LCM(47177,47191) = 2226329807

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Least Common Multiple of 47177 and 47191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47177 and 47191, than apply into the LCM equation.

GCF(47177,47191) = 1
LCM(47177,47191) = ( 47177 × 47191) / 1
LCM(47177,47191) = 2226329807 / 1
LCM(47177,47191) = 2226329807

Least Common Multiple (LCM) of 47177 and 47191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47177 and 47191. First we will calculate the prime factors of 47177 and 47191.

Prime Factorization of 47177

Prime factors of 47177 are 13, 19, 191. Prime factorization of 47177 in exponential form is:

47177 = 131 × 191 × 1911

Prime Factorization of 47191

Prime factors of 47191 are 41, 1151. Prime factorization of 47191 in exponential form is:

47191 = 411 × 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 47177 and 47191.

LCM(47177,47191) = 131 × 191 × 1911 × 411 × 11511
LCM(47177,47191) = 2226329807