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What is the Least Common Multiple of 5093 and 5107?

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 5093 and 5107 is 26009951.

LCM(5093,5107) = 26009951

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Least Common Multiple of 5093 and 5107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5093 and 5107, than apply into the LCM equation.

GCF(5093,5107) = 1
LCM(5093,5107) = ( 5093 × 5107) / 1
LCM(5093,5107) = 26009951 / 1
LCM(5093,5107) = 26009951

Least Common Multiple (LCM) of 5093 and 5107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5093 and 5107. First we will calculate the prime factors of 5093 and 5107.

Prime Factorization of 5093

Prime factors of 5093 are 11, 463. Prime factorization of 5093 in exponential form is:

5093 = 111 × 4631

Prime Factorization of 5107

Prime factors of 5107 are 5107. Prime factorization of 5107 in exponential form is:

5107 = 51071

Now multiplying the highest exponent prime factors to calculate the LCM of 5093 and 5107.

LCM(5093,5107) = 111 × 4631 × 51071
LCM(5093,5107) = 26009951