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What is the Least Common Multiple of 93584 and 93604?

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 93584 and 93604 is 2189959184.

LCM(93584,93604) = 2189959184

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Least Common Multiple of 93584 and 93604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93584 and 93604, than apply into the LCM equation.

GCF(93584,93604) = 4
LCM(93584,93604) = ( 93584 × 93604) / 4
LCM(93584,93604) = 8759836736 / 4
LCM(93584,93604) = 2189959184

Least Common Multiple (LCM) of 93584 and 93604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93584 and 93604. First we will calculate the prime factors of 93584 and 93604.

Prime Factorization of 93584

Prime factors of 93584 are 2, 5849. Prime factorization of 93584 in exponential form is:

93584 = 24 × 58491

Prime Factorization of 93604

Prime factors of 93604 are 2, 7, 3343. Prime factorization of 93604 in exponential form is:

93604 = 22 × 71 × 33431

Now multiplying the highest exponent prime factors to calculate the LCM of 93584 and 93604.

LCM(93584,93604) = 24 × 58491 × 71 × 33431
LCM(93584,93604) = 2189959184