Least Common Multiple of 2552 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 2552 and 2560 the smallest integer that is 816640 that is divisible by both numbers.

Least Common Multiple (LCM) of 2552 and 2560 is 816640.

LCM(2552,2560) = 816640

LCM of 2552 and 2560

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

LCM of:
and

Least Common Multiple of 2552 and 2560

LCM of 2552 and 2560 is 816640

Least common multiple can be found by multiplying the highest exponent prime factors of 2552 and 2560. First we will calculate the prime factors of 2552 and 2560.

Prime Factorization of 2552


2 2552
2 1276
2 638
11 319
29 29
1

Prime factors of 2552 are 2, 11,29. Prime factorization of 2552 in exponential form is:

2552 = 23×111×291

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 2552 and 2560.

LCM(2552,2560) = 29×51×111×291
LCM(2552,2560) = 816640

Factors of 2552

List of positive integer factors of 2552 that divides 2552 without a remainder.

1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 1276, 2552

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 2552 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 2552 and 2560, than apply into the LCM equation.

GCF(2552,2560) = 8
LCM(2552,2560) = ( 2552 × 2560) / 8
LCM(2552,2560) = 6533120 / 8
LCM(2552,2560) = 816640

Properties of LCM 2552 and 2560

(i) The LCM of 2560 and 2552 is associative

LCM of 2552 and 2560 = LCM of 2560 and 2552

Related Least Common Multiples of 2552

Related Least Common Multiples of 2560

Frequently Asked Questions on LCM of 2552 and 2560

1. What is the LCM of 2552 and 2560?

Answer: LCM of 2552 and 2560 is 816640.

2. What are the Factors of 2552?

Answer: Factors of 2552 are 1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 1276, 2552. There are 16 integers that are factors of 2552. The greatest factor of 2552 is 2552.

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 2552 and 2560?

Answer:

Least Common Multiple of 2552 and 2560 = 816640

Step 1: Find the prime factorization of 2552

2552 = 2 x 2 x 2 x 11 x 29

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 = 816640 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 29

Step 4: Therefore, the least common multiple of 2552 and 2560 is 816640.