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What is the Least Common Multiple of 3584 and 3597?

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 3597 is 12891648.

LCM(3584,3597) = 12891648

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Least Common Multiple of 3584 and 3597 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 3597, than apply into the LCM equation.

GCF(3584,3597) = 1
LCM(3584,3597) = ( 3584 × 3597) / 1
LCM(3584,3597) = 12891648 / 1
LCM(3584,3597) = 12891648

Least Common Multiple (LCM) of 3584 and 3597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3584 and 3597. First we will calculate the prime factors of 3584 and 3597.

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 3597

Prime factors of 3597 are 3, 11, 109. Prime factorization of 3597 in exponential form is:

3597 = 31 × 111 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 3584 and 3597.

LCM(3584,3597) = 29 × 71 × 31 × 111 × 1091
LCM(3584,3597) = 12891648