Least Common Multiple of 6584 and 6589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6584 and 6589 the smallest integer that is 43381976 that is divisible by both numbers.

Least Common Multiple (LCM) of 6584 and 6589 is 43381976.

LCM(6584,6589) = 43381976

LCM of 6584 and 6589

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6584 and 6589

LCM of 6584 and 6589 is 43381976

Least common multiple can be found by multiplying the highest exponent prime factors of 6584 and 6589. First we will calculate the prime factors of 6584 and 6589.

Prime Factorization of 6584


2 6584
2 3292
2 1646
823 823
1

Prime factors of 6584 are 2,823. Prime factorization of 6584 in exponential form is:

6584 = 23×8231

Prime Factorization of 6589


11 6589
599 599
1

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 6584 and 6589.

LCM(6584,6589) = 23×111×5991×8231
LCM(6584,6589) = 43381976

Factors of 6584

List of positive integer factors of 6584 that divides 6584 without a remainder.

1, 2, 4, 8, 823, 1646, 3292, 6584

Factors of 6589

List of positive integer factors of 6589 that divides 6589 without a remainder.

1, 11, 599, 6589

Least Common Multiple of 6584 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 6584 and 6589, than apply into the LCM equation.

GCF(6584,6589) = 1
LCM(6584,6589) = ( 6584 × 6589) / 1
LCM(6584,6589) = 43381976 / 1
LCM(6584,6589) = 43381976

Properties of LCM 6584 and 6589

(i) The LCM of 6589 and 6584 is associative

LCM of 6584 and 6589 = LCM of 6589 and 6584

Related Least Common Multiples of 6584

Related Least Common Multiples of 6589

Frequently Asked Questions on LCM of 6584 and 6589

1. What is the LCM of 6584 and 6589?

Answer: LCM of 6584 and 6589 is 43381976.

2. What are the Factors of 6584?

Answer: Factors of 6584 are 1, 2, 4, 8, 823, 1646, 3292, 6584. There are 8 integers that are factors of 6584. The greatest factor of 6584 is 6584.

3. What are the Factors of 6589?

Answer: Factors of 6589 are 1, 11, 599, 6589. There are 4 integers that are factors of 6589. The greatest factor of 6589 is 6589.

4. How to Find the LCM of 6584 and 6589?

Answer:

Least Common Multiple of 6584 and 6589 = 43381976

Step 1: Find the prime factorization of 6584

6584 = 2 x 2 x 2 x 823

Step 2: Find the prime factorization of 6589

6589 = 11 x 599

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 43381976 = 2 x 2 x 2 x 11 x 599 x 823

Step 4: Therefore, the least common multiple of 6584 and 6589 is 43381976.