Least Common Multiple of 2565 and 2569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2565 and 2569 the smallest integer that is 6589485 that is divisible by both numbers.

Least Common Multiple (LCM) of 2565 and 2569 is 6589485.

LCM(2565,2569) = 6589485

LCM of 2565 and 2569

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

LCM of:
and

Least Common Multiple of 2565 and 2569

LCM of 2565 and 2569 is 6589485

Least common multiple can be found by multiplying the highest exponent prime factors of 2565 and 2569. First we will calculate the prime factors of 2565 and 2569.

Prime Factorization of 2565


3 2565
3 855
3 285
5 95
19 19
1

Prime factors of 2565 are 3, 5,19. Prime factorization of 2565 in exponential form is:

2565 = 33×51×191

Prime Factorization of 2569


7 2569
367 367
1

Prime factors of 2569 are 7,367. Prime factorization of 2569 in exponential form is:

2569 = 71×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 2565 and 2569.

LCM(2565,2569) = 33×51×71×191×3671
LCM(2565,2569) = 6589485

Factors of 2565

List of positive integer factors of 2565 that divides 2565 without a remainder.

1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855, 2565

Factors of 2569

List of positive integer factors of 2569 that divides 2569 without a remainder.

1, 7, 367, 2569

Least Common Multiple of 2565 and 2569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2565 and 2569, than apply into the LCM equation.

GCF(2565,2569) = 1
LCM(2565,2569) = ( 2565 × 2569) / 1
LCM(2565,2569) = 6589485 / 1
LCM(2565,2569) = 6589485

Properties of LCM 2565 and 2569

(i) The LCM of 2569 and 2565 is associative

LCM of 2565 and 2569 = LCM of 2569 and 2565

Related Least Common Multiples of 2565

Related Least Common Multiples of 2569

Frequently Asked Questions on LCM of 2565 and 2569

1. What is the LCM of 2565 and 2569?

Answer: LCM of 2565 and 2569 is 6589485.

2. What are the Factors of 2565?

Answer: Factors of 2565 are 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855, 2565. There are 16 integers that are factors of 2565. The greatest factor of 2565 is 2565.

3. What are the Factors of 2569?

Answer: Factors of 2569 are 1, 7, 367, 2569. There are 4 integers that are factors of 2569. The greatest factor of 2569 is 2569.

4. How to Find the LCM of 2565 and 2569?

Answer:

Least Common Multiple of 2565 and 2569 = 6589485

Step 1: Find the prime factorization of 2565

2565 = 3 x 3 x 3 x 5 x 19

Step 2: Find the prime factorization of 2569

2569 = 7 x 367

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

LCM = 6589485 = 3 x 3 x 3 x 5 x 7 x 19 x 367

Step 4: Therefore, the least common multiple of 2565 and 2569 is 6589485.