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What is the Least Common Multiple of 12572 and 12584?

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 12572 and 12584 is 39551512.

LCM(12572,12584) = 39551512

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Least Common Multiple of 12572 and 12584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12572 and 12584, than apply into the LCM equation.

GCF(12572,12584) = 4
LCM(12572,12584) = ( 12572 × 12584) / 4
LCM(12572,12584) = 158206048 / 4
LCM(12572,12584) = 39551512

Least Common Multiple (LCM) of 12572 and 12584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12572 and 12584. First we will calculate the prime factors of 12572 and 12584.

Prime Factorization of 12572

Prime factors of 12572 are 2, 7, 449. Prime factorization of 12572 in exponential form is:

12572 = 22 × 71 × 4491

Prime Factorization of 12584

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

12584 = 23 × 112 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 12572 and 12584.

LCM(12572,12584) = 23 × 71 × 4491 × 112 × 131
LCM(12572,12584) = 39551512