Least Common Multiple of 2552 and 2556

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 2556 the smallest integer that is 1630728 that is divisible by both numbers.

Least Common Multiple (LCM) of 2552 and 2556 is 1630728.

LCM(2552,2556) = 1630728

LCM of 2552 and 2556

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

LCM of:
and

Least Common Multiple of 2552 and 2556

LCM of 2552 and 2556 is 1630728

Least common multiple can be found by multiplying the highest exponent prime factors of 2552 and 2556. First we will calculate the prime factors of 2552 and 2556.

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 2556


2 2556
2 1278
3 639
3 213
71 71
1

Prime factors of 2556 are 2, 3,71. Prime factorization of 2556 in exponential form is:

2556 = 22×32×711

Now multiplying the highest exponent prime factors to calculate the LCM of 2552 and 2556.

LCM(2552,2556) = 23×32×111×291×711
LCM(2552,2556) = 1630728

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 2556

List of positive integer factors of 2556 that divides 2556 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278, 2556

Least Common Multiple of 2552 and 2556 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 2556, than apply into the LCM equation.

GCF(2552,2556) = 4
LCM(2552,2556) = ( 2552 × 2556) / 4
LCM(2552,2556) = 6522912 / 4
LCM(2552,2556) = 1630728

Properties of LCM 2552 and 2556

(i) The LCM of 2556 and 2552 is associative

LCM of 2552 and 2556 = LCM of 2556 and 2552

Related Least Common Multiples of 2552

Related Least Common Multiples of 2556

Frequently Asked Questions on LCM of 2552 and 2556

1. What is the LCM of 2552 and 2556?

Answer: LCM of 2552 and 2556 is 1630728.

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 2556?

Answer: Factors of 2556 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278, 2556. There are 18 integers that are factors of 2556. The greatest factor of 2556 is 2556.

4. How to Find the LCM of 2552 and 2556?

Answer:

Least Common Multiple of 2552 and 2556 = 1630728

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 2556

2556 = 2 x 2 x 3 x 3 x 71

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

LCM = 1630728 = 2 x 2 x 2 x 3 x 3 x 11 x 29 x 71

Step 4: Therefore, the least common multiple of 2552 and 2556 is 1630728.