Least Common Multiple of 2560 and 2566

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 2566 the smallest integer that is 3284480 that is divisible by both numbers.

Least Common Multiple (LCM) of 2560 and 2566 is 3284480.

LCM(2560,2566) = 3284480

LCM of 2560 and 2566

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

LCM of:
and

Least Common Multiple of 2560 and 2566

LCM of 2560 and 2566 is 3284480

Least common multiple can be found by multiplying the highest exponent prime factors of 2560 and 2566. First we will calculate the prime factors of 2560 and 2566.

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 2566


2 2566
1283 1283
1

Prime factors of 2566 are 2,1283. Prime factorization of 2566 in exponential form is:

2566 = 21×12831

Now multiplying the highest exponent prime factors to calculate the LCM of 2560 and 2566.

LCM(2560,2566) = 29×51×12831
LCM(2560,2566) = 3284480

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 2566

List of positive integer factors of 2566 that divides 2566 without a remainder.

1, 2, 1283, 2566

Least Common Multiple of 2560 and 2566 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 2566, than apply into the LCM equation.

GCF(2560,2566) = 2
LCM(2560,2566) = ( 2560 × 2566) / 2
LCM(2560,2566) = 6568960 / 2
LCM(2560,2566) = 3284480

Properties of LCM 2560 and 2566

(i) The LCM of 2566 and 2560 is associative

LCM of 2560 and 2566 = LCM of 2566 and 2560

Related Least Common Multiples of 2560

Related Least Common Multiples of 2566

Frequently Asked Questions on LCM of 2560 and 2566

1. What is the LCM of 2560 and 2566?

Answer: LCM of 2560 and 2566 is 3284480.

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 2566?

Answer: Factors of 2566 are 1, 2, 1283, 2566. There are 4 integers that are factors of 2566. The greatest factor of 2566 is 2566.

4. How to Find the LCM of 2560 and 2566?

Answer:

Least Common Multiple of 2560 and 2566 = 3284480

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 2566

2566 = 2 x 1283

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

LCM = 3284480 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 1283

Step 4: Therefore, the least common multiple of 2560 and 2566 is 3284480.