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What is the Least Common Multiple of 8586 and 8593?

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 8593 is 73779498.

LCM(8586,8593) = 73779498

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Least Common Multiple of 8586 and 8593 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 8593, than apply into the LCM equation.

GCF(8586,8593) = 1
LCM(8586,8593) = ( 8586 × 8593) / 1
LCM(8586,8593) = 73779498 / 1
LCM(8586,8593) = 73779498

Least Common Multiple (LCM) of 8586 and 8593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8586 and 8593. First we will calculate the prime factors of 8586 and 8593.

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 8593

Prime factors of 8593 are 13, 661. Prime factorization of 8593 in exponential form is:

8593 = 131 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 8586 and 8593.

LCM(8586,8593) = 21 × 34 × 531 × 131 × 6611
LCM(8586,8593) = 73779498