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What is the Least Common Multiple of 6571 and 6589?

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 6571 and 6589 is 43296319.

LCM(6571,6589) = 43296319

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Least Common Multiple of 6571 and 6589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6571 and 6589, than apply into the LCM equation.

GCF(6571,6589) = 1
LCM(6571,6589) = ( 6571 × 6589) / 1
LCM(6571,6589) = 43296319 / 1
LCM(6571,6589) = 43296319

Least Common Multiple (LCM) of 6571 and 6589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6571 and 6589. First we will calculate the prime factors of 6571 and 6589.

Prime Factorization of 6571

Prime factors of 6571 are 6571. Prime factorization of 6571 in exponential form is:

6571 = 65711

Prime Factorization of 6589

Prime factors of 6589 are 11, 599. Prime factorization of 6589 in exponential form is:

6589 = 111 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 6571 and 6589.

LCM(6571,6589) = 65711 × 111 × 5991
LCM(6571,6589) = 43296319