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What is the Least Common Multiple of 10583 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 10583 and 10592 is 112095136.

LCM(10583,10592) = 112095136

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Least Common Multiple of 10583 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 10583 and 10592, than apply into the LCM equation.

GCF(10583,10592) = 1
LCM(10583,10592) = ( 10583 × 10592) / 1
LCM(10583,10592) = 112095136 / 1
LCM(10583,10592) = 112095136

Least Common Multiple (LCM) of 10583 and 10592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10583 and 10592. First we will calculate the prime factors of 10583 and 10592.

Prime Factorization of 10583

Prime factors of 10583 are 19, 557. Prime factorization of 10583 in exponential form is:

10583 = 191 × 5571

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 10583 and 10592.

LCM(10583,10592) = 191 × 5571 × 25 × 3311
LCM(10583,10592) = 112095136