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What is the Least Common Multiple of 11584 and 11598?

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 11584 and 11598 is 67175616.

LCM(11584,11598) = 67175616

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Least Common Multiple of 11584 and 11598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11584 and 11598, than apply into the LCM equation.

GCF(11584,11598) = 2
LCM(11584,11598) = ( 11584 × 11598) / 2
LCM(11584,11598) = 134351232 / 2
LCM(11584,11598) = 67175616

Least Common Multiple (LCM) of 11584 and 11598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11584 and 11598. First we will calculate the prime factors of 11584 and 11598.

Prime Factorization of 11584

Prime factors of 11584 are 2, 181. Prime factorization of 11584 in exponential form is:

11584 = 26 × 1811

Prime Factorization of 11598

Prime factors of 11598 are 2, 3, 1933. Prime factorization of 11598 in exponential form is:

11598 = 21 × 31 × 19331

Now multiplying the highest exponent prime factors to calculate the LCM of 11584 and 11598.

LCM(11584,11598) = 26 × 1811 × 31 × 19331
LCM(11584,11598) = 67175616