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What is the Least Common Multiple of 6586 and 6592?

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 6586 and 6592 is 21707456.

LCM(6586,6592) = 21707456

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Least Common Multiple of 6586 and 6592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6586 and 6592, than apply into the LCM equation.

GCF(6586,6592) = 2
LCM(6586,6592) = ( 6586 × 6592) / 2
LCM(6586,6592) = 43414912 / 2
LCM(6586,6592) = 21707456

Least Common Multiple (LCM) of 6586 and 6592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6586 and 6592. First we will calculate the prime factors of 6586 and 6592.

Prime Factorization of 6586

Prime factors of 6586 are 2, 37, 89. Prime factorization of 6586 in exponential form is:

6586 = 21 × 371 × 891

Prime Factorization of 6592

Prime factors of 6592 are 2, 103. Prime factorization of 6592 in exponential form is:

6592 = 26 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6586 and 6592.

LCM(6586,6592) = 26 × 371 × 891 × 1031
LCM(6586,6592) = 21707456