Least Common Multiple of 2560 and 2565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2560 and 2565 the smallest integer that is 1313280 that is divisible by both numbers.

Least Common Multiple (LCM) of 2560 and 2565 is 1313280.

LCM(2560,2565) = 1313280

LCM of 2560 and 2565

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

LCM of:
and

Least Common Multiple of 2560 and 2565

LCM of 2560 and 2565 is 1313280

Least common multiple can be found by multiplying the highest exponent prime factors of 2560 and 2565. First we will calculate the prime factors of 2560 and 2565.

Prime Factorization of 2560


2 2560
2 1280
2 640
2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 2560 are 2,5. Prime factorization of 2560 in exponential form is:

2560 = 29×51

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2560 and 2565.

LCM(2560,2565) = 29×33×51×191
LCM(2560,2565) = 1313280

Factors of 2560

List of positive integer factors of 2560 that divides 2560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1280, 2560

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

Least Common Multiple of 2560 and 2565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2560 and 2565, than apply into the LCM equation.

GCF(2560,2565) = 5
LCM(2560,2565) = ( 2560 × 2565) / 5
LCM(2560,2565) = 6566400 / 5
LCM(2560,2565) = 1313280

Properties of LCM 2560 and 2565

(i) The LCM of 2565 and 2560 is associative

LCM of 2560 and 2565 = LCM of 2565 and 2560

Related Least Common Multiples of 2560

Related Least Common Multiples of 2565

Frequently Asked Questions on LCM of 2560 and 2565

1. What is the LCM of 2560 and 2565?

Answer: LCM of 2560 and 2565 is 1313280.

2. What are the Factors of 2560?

Answer: Factors of 2560 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1280, 2560. There are 20 integers that are factors of 2560. The greatest factor of 2560 is 2560.

3. 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.

4. How to Find the LCM of 2560 and 2565?

Answer:

Least Common Multiple of 2560 and 2565 = 1313280

Step 1: Find the prime factorization of 2560

2560 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 2565

2565 = 3 x 3 x 3 x 5 x 19

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

LCM = 1313280 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 19

Step 4: Therefore, the least common multiple of 2560 and 2565 is 1313280.