Least Common Multiple of 2560 and 2562

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 2562 the smallest integer that is 3279360 that is divisible by both numbers.

Least Common Multiple (LCM) of 2560 and 2562 is 3279360.

LCM(2560,2562) = 3279360

LCM of 2560 and 2562

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

LCM of:
and

Least Common Multiple of 2560 and 2562

LCM of 2560 and 2562 is 3279360

Least common multiple can be found by multiplying the highest exponent prime factors of 2560 and 2562. First we will calculate the prime factors of 2560 and 2562.

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 2562


2 2562
3 1281
7 427
61 61
1

Prime factors of 2562 are 2, 3, 7,61. Prime factorization of 2562 in exponential form is:

2562 = 21×31×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2560 and 2562.

LCM(2560,2562) = 29×31×51×71×611
LCM(2560,2562) = 3279360

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 2562

List of positive integer factors of 2562 that divides 2562 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 61, 122, 183, 366, 427, 854, 1281, 2562

Least Common Multiple of 2560 and 2562 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 2562, than apply into the LCM equation.

GCF(2560,2562) = 2
LCM(2560,2562) = ( 2560 × 2562) / 2
LCM(2560,2562) = 6558720 / 2
LCM(2560,2562) = 3279360

Properties of LCM 2560 and 2562

(i) The LCM of 2562 and 2560 is associative

LCM of 2560 and 2562 = LCM of 2562 and 2560

Related Least Common Multiples of 2560

Related Least Common Multiples of 2562

Frequently Asked Questions on LCM of 2560 and 2562

1. What is the LCM of 2560 and 2562?

Answer: LCM of 2560 and 2562 is 3279360.

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 2562?

Answer: Factors of 2562 are 1, 2, 3, 6, 7, 14, 21, 42, 61, 122, 183, 366, 427, 854, 1281, 2562. There are 16 integers that are factors of 2562. The greatest factor of 2562 is 2562.

4. How to Find the LCM of 2560 and 2562?

Answer:

Least Common Multiple of 2560 and 2562 = 3279360

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 2562

2562 = 2 x 3 x 7 x 61

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

LCM = 3279360 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 61

Step 4: Therefore, the least common multiple of 2560 and 2562 is 3279360.