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What is the Least Common Multiple of 5127 and 5136?

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 5127 and 5136 is 8777424.

LCM(5127,5136) = 8777424

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Least Common Multiple of 5127 and 5136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5127 and 5136, than apply into the LCM equation.

GCF(5127,5136) = 3
LCM(5127,5136) = ( 5127 × 5136) / 3
LCM(5127,5136) = 26332272 / 3
LCM(5127,5136) = 8777424

Least Common Multiple (LCM) of 5127 and 5136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5127 and 5136. First we will calculate the prime factors of 5127 and 5136.

Prime Factorization of 5127

Prime factors of 5127 are 3, 1709. Prime factorization of 5127 in exponential form is:

5127 = 31 × 17091

Prime Factorization of 5136

Prime factors of 5136 are 2, 3, 107. Prime factorization of 5136 in exponential form is:

5136 = 24 × 31 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 5127 and 5136.

LCM(5127,5136) = 31 × 17091 × 24 × 1071
LCM(5127,5136) = 8777424