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What is the Least Common Multiple of 5086 and 5103?

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 5103 is 25953858.

LCM(5086,5103) = 25953858

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Least Common Multiple of 5086 and 5103 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 5103, than apply into the LCM equation.

GCF(5086,5103) = 1
LCM(5086,5103) = ( 5086 × 5103) / 1
LCM(5086,5103) = 25953858 / 1
LCM(5086,5103) = 25953858

Least Common Multiple (LCM) of 5086 and 5103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5086 and 5103. First we will calculate the prime factors of 5086 and 5103.

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 5103

Prime factors of 5103 are 3, 7. Prime factorization of 5103 in exponential form is:

5103 = 36 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 5086 and 5103.

LCM(5086,5103) = 21 × 25431 × 36 × 71
LCM(5086,5103) = 25953858