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What is the Least Common Multiple of 3584 and 3596?

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 3584 and 3596 is 3222016.

LCM(3584,3596) = 3222016

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Least Common Multiple of 3584 and 3596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3584 and 3596, than apply into the LCM equation.

GCF(3584,3596) = 4
LCM(3584,3596) = ( 3584 × 3596) / 4
LCM(3584,3596) = 12888064 / 4
LCM(3584,3596) = 3222016

Least Common Multiple (LCM) of 3584 and 3596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3584 and 3596. First we will calculate the prime factors of 3584 and 3596.

Prime Factorization of 3584

Prime factors of 3584 are 2, 7. Prime factorization of 3584 in exponential form is:

3584 = 29 × 71

Prime Factorization of 3596

Prime factors of 3596 are 2, 29, 31. Prime factorization of 3596 in exponential form is:

3596 = 22 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 3584 and 3596.

LCM(3584,3596) = 29 × 71 × 291 × 311
LCM(3584,3596) = 3222016