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What is the Least Common Multiple of 8586 and 8591?

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 8591 is 73762326.

LCM(8586,8591) = 73762326

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Least Common Multiple of 8586 and 8591 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 8591, than apply into the LCM equation.

GCF(8586,8591) = 1
LCM(8586,8591) = ( 8586 × 8591) / 1
LCM(8586,8591) = 73762326 / 1
LCM(8586,8591) = 73762326

Least Common Multiple (LCM) of 8586 and 8591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8586 and 8591. First we will calculate the prime factors of 8586 and 8591.

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 8591

Prime factors of 8591 are 11, 71. Prime factorization of 8591 in exponential form is:

8591 = 112 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 8586 and 8591.

LCM(8586,8591) = 21 × 34 × 531 × 112 × 711
LCM(8586,8591) = 73762326