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What is the Least Common Multiple of 8586 and 8600?

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 8586 and 8600 is 36919800.

LCM(8586,8600) = 36919800

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Least Common Multiple of 8586 and 8600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8586 and 8600, than apply into the LCM equation.

GCF(8586,8600) = 2
LCM(8586,8600) = ( 8586 × 8600) / 2
LCM(8586,8600) = 73839600 / 2
LCM(8586,8600) = 36919800

Least Common Multiple (LCM) of 8586 and 8600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8586 and 8600. First we will calculate the prime factors of 8586 and 8600.

Prime Factorization of 8586

Prime factors of 8586 are 2, 3, 53. Prime factorization of 8586 in exponential form is:

8586 = 21 × 34 × 531

Prime Factorization of 8600

Prime factors of 8600 are 2, 5, 43. Prime factorization of 8600 in exponential form is:

8600 = 23 × 52 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 8586 and 8600.

LCM(8586,8600) = 23 × 34 × 531 × 52 × 431
LCM(8586,8600) = 36919800