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What is the Least Common Multiple of 15579 and 15586?

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 15579 and 15586 is 242814294.

LCM(15579,15586) = 242814294

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Least Common Multiple of 15579 and 15586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15579 and 15586, than apply into the LCM equation.

GCF(15579,15586) = 1
LCM(15579,15586) = ( 15579 × 15586) / 1
LCM(15579,15586) = 242814294 / 1
LCM(15579,15586) = 242814294

Least Common Multiple (LCM) of 15579 and 15586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15579 and 15586. First we will calculate the prime factors of 15579 and 15586.

Prime Factorization of 15579

Prime factors of 15579 are 3, 577. Prime factorization of 15579 in exponential form is:

15579 = 33 × 5771

Prime Factorization of 15586

Prime factors of 15586 are 2, 7793. Prime factorization of 15586 in exponential form is:

15586 = 21 × 77931

Now multiplying the highest exponent prime factors to calculate the LCM of 15579 and 15586.

LCM(15579,15586) = 33 × 5771 × 21 × 77931
LCM(15579,15586) = 242814294