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What is the Least Common Multiple of 8589 and 8594?

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 8589 and 8594 is 73813866.

LCM(8589,8594) = 73813866

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Least Common Multiple of 8589 and 8594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8589 and 8594, than apply into the LCM equation.

GCF(8589,8594) = 1
LCM(8589,8594) = ( 8589 × 8594) / 1
LCM(8589,8594) = 73813866 / 1
LCM(8589,8594) = 73813866

Least Common Multiple (LCM) of 8589 and 8594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8589 and 8594. First we will calculate the prime factors of 8589 and 8594.

Prime Factorization of 8589

Prime factors of 8589 are 3, 7, 409. Prime factorization of 8589 in exponential form is:

8589 = 31 × 71 × 4091

Prime Factorization of 8594

Prime factors of 8594 are 2, 4297. Prime factorization of 8594 in exponential form is:

8594 = 21 × 42971

Now multiplying the highest exponent prime factors to calculate the LCM of 8589 and 8594.

LCM(8589,8594) = 31 × 71 × 4091 × 21 × 42971
LCM(8589,8594) = 73813866