Least Common Multiple of 6589 and 6596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6589 and 6596 the smallest integer that is 43461044 that is divisible by both numbers.

Least Common Multiple (LCM) of 6589 and 6596 is 43461044.

LCM(6589,6596) = 43461044

LCM of 6589 and 6596

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

LCM of:
and

Least Common Multiple of 6589 and 6596

LCM of 6589 and 6596 is 43461044

Least common multiple can be found by multiplying the highest exponent prime factors of 6589 and 6596. First we will calculate the prime factors of 6589 and 6596.

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

Prime Factorization of 6596


2 6596
2 3298
17 1649
97 97
1

Prime factors of 6596 are 2, 17,97. Prime factorization of 6596 in exponential form is:

6596 = 22×171×971

Now multiplying the highest exponent prime factors to calculate the LCM of 6589 and 6596.

LCM(6589,6596) = 22×111×171×971×5991
LCM(6589,6596) = 43461044

Factors of 6589

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

1, 11, 599, 6589

Factors of 6596

List of positive integer factors of 6596 that divides 6596 without a remainder.

1, 2, 4, 17, 34, 68, 97, 194, 388, 1649, 3298, 6596

Least Common Multiple of 6589 and 6596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6589 and 6596, than apply into the LCM equation.

GCF(6589,6596) = 1
LCM(6589,6596) = ( 6589 × 6596) / 1
LCM(6589,6596) = 43461044 / 1
LCM(6589,6596) = 43461044

Properties of LCM 6589 and 6596

(i) The LCM of 6596 and 6589 is associative

LCM of 6589 and 6596 = LCM of 6596 and 6589

Related Least Common Multiples of 6589

Related Least Common Multiples of 6596

Frequently Asked Questions on LCM of 6589 and 6596

1. What is the LCM of 6589 and 6596?

Answer: LCM of 6589 and 6596 is 43461044.

2. 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.

3. What are the Factors of 6596?

Answer: Factors of 6596 are 1, 2, 4, 17, 34, 68, 97, 194, 388, 1649, 3298, 6596. There are 12 integers that are factors of 6596. The greatest factor of 6596 is 6596.

4. How to Find the LCM of 6589 and 6596?

Answer:

Least Common Multiple of 6589 and 6596 = 43461044

Step 1: Find the prime factorization of 6589

6589 = 11 x 599

Step 2: Find the prime factorization of 6596

6596 = 2 x 2 x 17 x 97

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

LCM = 43461044 = 2 x 2 x 11 x 17 x 97 x 599

Step 4: Therefore, the least common multiple of 6589 and 6596 is 43461044.