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What is the Least Common Multiple of 6588 and 6593?

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 6588 and 6593 is 43434684.

LCM(6588,6593) = 43434684

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Least Common Multiple of 6588 and 6593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6588 and 6593, than apply into the LCM equation.

GCF(6588,6593) = 1
LCM(6588,6593) = ( 6588 × 6593) / 1
LCM(6588,6593) = 43434684 / 1
LCM(6588,6593) = 43434684

Least Common Multiple (LCM) of 6588 and 6593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6588 and 6593. First we will calculate the prime factors of 6588 and 6593.

Prime Factorization of 6588

Prime factors of 6588 are 2, 3, 61. Prime factorization of 6588 in exponential form is:

6588 = 22 × 33 × 611

Prime Factorization of 6593

Prime factors of 6593 are 19, 347. Prime factorization of 6593 in exponential form is:

6593 = 191 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 6588 and 6593.

LCM(6588,6593) = 22 × 33 × 611 × 191 × 3471
LCM(6588,6593) = 43434684