Least Common Multiple of 6581 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 6581 and 6589 the smallest integer that is 43362209 that is divisible by both numbers.

Least Common Multiple (LCM) of 6581 and 6589 is 43362209.

LCM(6581,6589) = 43362209

LCM of 6581 and 6589

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

LCM of:
and

Least Common Multiple of 6581 and 6589

LCM of 6581 and 6589 is 43362209

Least common multiple can be found by multiplying the highest exponent prime factors of 6581 and 6589. First we will calculate the prime factors of 6581 and 6589.

Prime Factorization of 6581


6581 6581
1

Prime factors of 6581 are 6581. Prime factorization of 6581 in exponential form is:

6581 = 65811

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 6581 and 6589.

LCM(6581,6589) = 111×5991×65811
LCM(6581,6589) = 43362209

Factors of 6581

List of positive integer factors of 6581 that divides 6581 without a remainder.

1, 6581

Factors of 6589

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

1, 11, 599, 6589

Least Common Multiple of 6581 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 6581 and 6589, than apply into the LCM equation.

GCF(6581,6589) = 1
LCM(6581,6589) = ( 6581 × 6589) / 1
LCM(6581,6589) = 43362209 / 1
LCM(6581,6589) = 43362209

Properties of LCM 6581 and 6589

(i) The LCM of 6589 and 6581 is associative

LCM of 6581 and 6589 = LCM of 6589 and 6581

Related Least Common Multiples of 6581

Related Least Common Multiples of 6589

Frequently Asked Questions on LCM of 6581 and 6589

1. What is the LCM of 6581 and 6589?

Answer: LCM of 6581 and 6589 is 43362209.

2. What are the Factors of 6581?

Answer: Factors of 6581 are 1, 6581. There are 2 integers that are factors of 6581. The greatest factor of 6581 is 6581.

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 6581 and 6589?

Answer:

Least Common Multiple of 6581 and 6589 = 43362209

Step 1: Find the prime factorization of 6581

6581 = 6581

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 = 43362209 = 11 x 599 x 6581

Step 4: Therefore, the least common multiple of 6581 and 6589 is 43362209.