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What is the Least Common Multiple of 5187 and 5199?

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 5187 and 5199 is 8989071.

LCM(5187,5199) = 8989071

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Least Common Multiple of 5187 and 5199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5187 and 5199, than apply into the LCM equation.

GCF(5187,5199) = 3
LCM(5187,5199) = ( 5187 × 5199) / 3
LCM(5187,5199) = 26967213 / 3
LCM(5187,5199) = 8989071

Least Common Multiple (LCM) of 5187 and 5199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5187 and 5199. First we will calculate the prime factors of 5187 and 5199.

Prime Factorization of 5187

Prime factors of 5187 are 3, 7, 13, 19. Prime factorization of 5187 in exponential form is:

5187 = 31 × 71 × 131 × 191

Prime Factorization of 5199

Prime factors of 5199 are 3, 1733. Prime factorization of 5199 in exponential form is:

5199 = 31 × 17331

Now multiplying the highest exponent prime factors to calculate the LCM of 5187 and 5199.

LCM(5187,5199) = 31 × 71 × 131 × 191 × 17331
LCM(5187,5199) = 8989071