Least Common Multiple of 2553 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 2553 and 2556 the smallest integer that is 2175156 that is divisible by both numbers.

Least Common Multiple (LCM) of 2553 and 2556 is 2175156.

LCM(2553,2556) = 2175156

LCM of 2553 and 2556

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

LCM of:
and

Least Common Multiple of 2553 and 2556

LCM of 2553 and 2556 is 2175156

Least common multiple can be found by multiplying the highest exponent prime factors of 2553 and 2556. First we will calculate the prime factors of 2553 and 2556.

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 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 2553 and 2556.

LCM(2553,2556) = 22×32×231×371×711
LCM(2553,2556) = 2175156

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 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 2553 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 2553 and 2556, than apply into the LCM equation.

GCF(2553,2556) = 3
LCM(2553,2556) = ( 2553 × 2556) / 3
LCM(2553,2556) = 6525468 / 3
LCM(2553,2556) = 2175156

Properties of LCM 2553 and 2556

(i) The LCM of 2556 and 2553 is associative

LCM of 2553 and 2556 = LCM of 2556 and 2553

Related Least Common Multiples of 2553

Related Least Common Multiples of 2556

Frequently Asked Questions on LCM of 2553 and 2556

1. What is the LCM of 2553 and 2556?

Answer: LCM of 2553 and 2556 is 2175156.

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 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 2553 and 2556?

Answer:

Least Common Multiple of 2553 and 2556 = 2175156

Step 1: Find the prime factorization of 2553

2553 = 3 x 23 x 37

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 = 2175156 = 2 x 2 x 3 x 3 x 23 x 37 x 71

Step 4: Therefore, the least common multiple of 2553 and 2556 is 2175156.