Least Common Multiple of 6582 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 6582 and 6589 the smallest integer that is 43368798 that is divisible by both numbers.

Least Common Multiple (LCM) of 6582 and 6589 is 43368798.

LCM(6582,6589) = 43368798

LCM of 6582 and 6589

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

LCM of:
and

Least Common Multiple of 6582 and 6589

LCM of 6582 and 6589 is 43368798

Least common multiple can be found by multiplying the highest exponent prime factors of 6582 and 6589. First we will calculate the prime factors of 6582 and 6589.

Prime Factorization of 6582


2 6582
3 3291
1097 1097
1

Prime factors of 6582 are 2, 3,1097. Prime factorization of 6582 in exponential form is:

6582 = 21×31×10971

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 6582 and 6589.

LCM(6582,6589) = 21×31×111×5991×10971
LCM(6582,6589) = 43368798

Factors of 6582

List of positive integer factors of 6582 that divides 6582 without a remainder.

1, 2, 3, 6, 1097, 2194, 3291, 6582

Factors of 6589

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

1, 11, 599, 6589

Least Common Multiple of 6582 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 6582 and 6589, than apply into the LCM equation.

GCF(6582,6589) = 1
LCM(6582,6589) = ( 6582 × 6589) / 1
LCM(6582,6589) = 43368798 / 1
LCM(6582,6589) = 43368798

Properties of LCM 6582 and 6589

(i) The LCM of 6589 and 6582 is associative

LCM of 6582 and 6589 = LCM of 6589 and 6582

Related Least Common Multiples of 6582

Related Least Common Multiples of 6589

Frequently Asked Questions on LCM of 6582 and 6589

1. What is the LCM of 6582 and 6589?

Answer: LCM of 6582 and 6589 is 43368798.

2. What are the Factors of 6582?

Answer: Factors of 6582 are 1, 2, 3, 6, 1097, 2194, 3291, 6582. There are 8 integers that are factors of 6582. The greatest factor of 6582 is 6582.

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 6582 and 6589?

Answer:

Least Common Multiple of 6582 and 6589 = 43368798

Step 1: Find the prime factorization of 6582

6582 = 2 x 3 x 1097

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 = 43368798 = 2 x 3 x 11 x 599 x 1097

Step 4: Therefore, the least common multiple of 6582 and 6589 is 43368798.