Least Common Multiple of 2553 and 2560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2553 and 2560 the smallest integer that is 6535680 that is divisible by both numbers.

Least Common Multiple (LCM) of 2553 and 2560 is 6535680.

LCM(2553,2560) = 6535680

LCM of 2553 and 2560

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

LCM of:
and

Least Common Multiple of 2553 and 2560

LCM of 2553 and 2560 is 6535680

Least common multiple can be found by multiplying the highest exponent prime factors of 2553 and 2560. First we will calculate the prime factors of 2553 and 2560.

Prime Factorization of 2553


3 2553
23 851
37 37
1

Prime factors of 2553 are 3, 23,37. Prime factorization of 2553 in exponential form is:

2553 = 31×231×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2553 and 2560.

LCM(2553,2560) = 29×31×51×231×371
LCM(2553,2560) = 6535680

Factors of 2553

List of positive integer factors of 2553 that divides 2553 without a remainder.

1, 3, 23, 37, 69, 111, 851, 2553

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

Least Common Multiple of 2553 and 2560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2553 and 2560, than apply into the LCM equation.

GCF(2553,2560) = 1
LCM(2553,2560) = ( 2553 × 2560) / 1
LCM(2553,2560) = 6535680 / 1
LCM(2553,2560) = 6535680

Properties of LCM 2553 and 2560

(i) The LCM of 2560 and 2553 is associative

LCM of 2553 and 2560 = LCM of 2560 and 2553

Related Least Common Multiples of 2553

Related Least Common Multiples of 2560

Frequently Asked Questions on LCM of 2553 and 2560

1. What is the LCM of 2553 and 2560?

Answer: LCM of 2553 and 2560 is 6535680.

2. What are the Factors of 2553?

Answer: Factors of 2553 are 1, 3, 23, 37, 69, 111, 851, 2553. There are 8 integers that are factors of 2553. The greatest factor of 2553 is 2553.

3. 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.

4. How to Find the LCM of 2553 and 2560?

Answer:

Least Common Multiple of 2553 and 2560 = 6535680

Step 1: Find the prime factorization of 2553

2553 = 3 x 23 x 37

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 6535680 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 37

Step 4: Therefore, the least common multiple of 2553 and 2560 is 6535680.