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What is the Least Common Multiple of 5118 and 5127?

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 5118 and 5127 is 8746662.

LCM(5118,5127) = 8746662

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Least Common Multiple of 5118 and 5127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5118 and 5127, than apply into the LCM equation.

GCF(5118,5127) = 3
LCM(5118,5127) = ( 5118 × 5127) / 3
LCM(5118,5127) = 26239986 / 3
LCM(5118,5127) = 8746662

Least Common Multiple (LCM) of 5118 and 5127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5118 and 5127. First we will calculate the prime factors of 5118 and 5127.

Prime Factorization of 5118

Prime factors of 5118 are 2, 3, 853. Prime factorization of 5118 in exponential form is:

5118 = 21 × 31 × 8531

Prime Factorization of 5127

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

5127 = 31 × 17091

Now multiplying the highest exponent prime factors to calculate the LCM of 5118 and 5127.

LCM(5118,5127) = 21 × 31 × 8531 × 17091
LCM(5118,5127) = 8746662