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What is the Least Common Multiple of 11582 and 11600?

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 11582 and 11600 is 67175600.

LCM(11582,11600) = 67175600

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Least Common Multiple of 11582 and 11600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11582 and 11600, than apply into the LCM equation.

GCF(11582,11600) = 2
LCM(11582,11600) = ( 11582 × 11600) / 2
LCM(11582,11600) = 134351200 / 2
LCM(11582,11600) = 67175600

Least Common Multiple (LCM) of 11582 and 11600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11582 and 11600. First we will calculate the prime factors of 11582 and 11600.

Prime Factorization of 11582

Prime factors of 11582 are 2, 5791. Prime factorization of 11582 in exponential form is:

11582 = 21 × 57911

Prime Factorization of 11600

Prime factors of 11600 are 2, 5, 29. Prime factorization of 11600 in exponential form is:

11600 = 24 × 52 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 11582 and 11600.

LCM(11582,11600) = 24 × 57911 × 52 × 291
LCM(11582,11600) = 67175600