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What is the Least Common Multiple of 5086 and 5095?

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 5086 and 5095 is 25913170.

LCM(5086,5095) = 25913170

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Least Common Multiple of 5086 and 5095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5086 and 5095, than apply into the LCM equation.

GCF(5086,5095) = 1
LCM(5086,5095) = ( 5086 × 5095) / 1
LCM(5086,5095) = 25913170 / 1
LCM(5086,5095) = 25913170

Least Common Multiple (LCM) of 5086 and 5095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5086 and 5095. First we will calculate the prime factors of 5086 and 5095.

Prime Factorization of 5086

Prime factors of 5086 are 2, 2543. Prime factorization of 5086 in exponential form is:

5086 = 21 × 25431

Prime Factorization of 5095

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

5095 = 51 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 5086 and 5095.

LCM(5086,5095) = 21 × 25431 × 51 × 10191
LCM(5086,5095) = 25913170