Least Common Multiple of 6589 and 6597

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 6597 the smallest integer that is 43467633 that is divisible by both numbers.

Least Common Multiple (LCM) of 6589 and 6597 is 43467633.

LCM(6589,6597) = 43467633

LCM of 6589 and 6597

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

LCM of:
and

Least Common Multiple of 6589 and 6597

LCM of 6589 and 6597 is 43467633

Least common multiple can be found by multiplying the highest exponent prime factors of 6589 and 6597. First we will calculate the prime factors of 6589 and 6597.

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 6597


3 6597
3 2199
733 733
1

Prime factors of 6597 are 3,733. Prime factorization of 6597 in exponential form is:

6597 = 32×7331

Now multiplying the highest exponent prime factors to calculate the LCM of 6589 and 6597.

LCM(6589,6597) = 32×111×5991×7331
LCM(6589,6597) = 43467633

Factors of 6589

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

1, 11, 599, 6589

Factors of 6597

List of positive integer factors of 6597 that divides 6597 without a remainder.

1, 3, 9, 733, 2199, 6597

Least Common Multiple of 6589 and 6597 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 6597, than apply into the LCM equation.

GCF(6589,6597) = 1
LCM(6589,6597) = ( 6589 × 6597) / 1
LCM(6589,6597) = 43467633 / 1
LCM(6589,6597) = 43467633

Properties of LCM 6589 and 6597

(i) The LCM of 6597 and 6589 is associative

LCM of 6589 and 6597 = LCM of 6597 and 6589

Related Least Common Multiples of 6589

Related Least Common Multiples of 6597

Frequently Asked Questions on LCM of 6589 and 6597

1. What is the LCM of 6589 and 6597?

Answer: LCM of 6589 and 6597 is 43467633.

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 6597?

Answer: Factors of 6597 are 1, 3, 9, 733, 2199, 6597. There are 6 integers that are factors of 6597. The greatest factor of 6597 is 6597.

4. How to Find the LCM of 6589 and 6597?

Answer:

Least Common Multiple of 6589 and 6597 = 43467633

Step 1: Find the prime factorization of 6589

6589 = 11 x 599

Step 2: Find the prime factorization of 6597

6597 = 3 x 3 x 733

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

LCM = 43467633 = 3 x 3 x 11 x 599 x 733

Step 4: Therefore, the least common multiple of 6589 and 6597 is 43467633.