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What is the Least Common Multiple of 10582 and 10592?

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 10582 and 10592 is 56042272.

LCM(10582,10592) = 56042272

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Least Common Multiple of 10582 and 10592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10582 and 10592, than apply into the LCM equation.

GCF(10582,10592) = 2
LCM(10582,10592) = ( 10582 × 10592) / 2
LCM(10582,10592) = 112084544 / 2
LCM(10582,10592) = 56042272

Least Common Multiple (LCM) of 10582 and 10592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10582 and 10592. First we will calculate the prime factors of 10582 and 10592.

Prime Factorization of 10582

Prime factors of 10582 are 2, 11, 13, 37. Prime factorization of 10582 in exponential form is:

10582 = 21 × 111 × 131 × 371

Prime Factorization of 10592

Prime factors of 10592 are 2, 331. Prime factorization of 10592 in exponential form is:

10592 = 25 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 10582 and 10592.

LCM(10582,10592) = 25 × 111 × 131 × 371 × 3311
LCM(10582,10592) = 56042272