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What is the Least Common Multiple of 12584 and 12604?

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 12584 and 12604 is 39652184.

LCM(12584,12604) = 39652184

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Least Common Multiple of 12584 and 12604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12584 and 12604, than apply into the LCM equation.

GCF(12584,12604) = 4
LCM(12584,12604) = ( 12584 × 12604) / 4
LCM(12584,12604) = 158608736 / 4
LCM(12584,12604) = 39652184

Least Common Multiple (LCM) of 12584 and 12604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12584 and 12604. First we will calculate the prime factors of 12584 and 12604.

Prime Factorization of 12584

Prime factors of 12584 are 2, 11, 13. Prime factorization of 12584 in exponential form is:

12584 = 23 × 112 × 131

Prime Factorization of 12604

Prime factors of 12604 are 2, 23, 137. Prime factorization of 12604 in exponential form is:

12604 = 22 × 231 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 12584 and 12604.

LCM(12584,12604) = 23 × 112 × 131 × 231 × 1371
LCM(12584,12604) = 39652184