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What is the Least Common Multiple of 5095 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 5095 and 5107 is 26020165.

LCM(5095,5107) = 26020165

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Least Common Multiple of 5095 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 5095 and 5107, than apply into the LCM equation.

GCF(5095,5107) = 1
LCM(5095,5107) = ( 5095 × 5107) / 1
LCM(5095,5107) = 26020165 / 1
LCM(5095,5107) = 26020165

Least Common Multiple (LCM) of 5095 and 5107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5095 and 5107. First we will calculate the prime factors of 5095 and 5107.

Prime Factorization of 5095

Prime factors of 5095 are 5, 1019. Prime factorization of 5095 in exponential form is:

5095 = 51 × 10191

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 5095 and 5107.

LCM(5095,5107) = 51 × 10191 × 51071
LCM(5095,5107) = 26020165