Least Common Multiple of 2556 and 2564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2556 and 2564 the smallest integer that is 1638396 that is divisible by both numbers.

Least Common Multiple (LCM) of 2556 and 2564 is 1638396.

LCM(2556,2564) = 1638396

LCM of 2556 and 2564

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

LCM of:
and

Least Common Multiple of 2556 and 2564

LCM of 2556 and 2564 is 1638396

Least common multiple can be found by multiplying the highest exponent prime factors of 2556 and 2564. First we will calculate the prime factors of 2556 and 2564.

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

Prime Factorization of 2564


2 2564
2 1282
641 641
1

Prime factors of 2564 are 2,641. Prime factorization of 2564 in exponential form is:

2564 = 22×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 2556 and 2564.

LCM(2556,2564) = 22×32×711×6411
LCM(2556,2564) = 1638396

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

Factors of 2564

List of positive integer factors of 2564 that divides 2564 without a remainder.

1, 2, 4, 641, 1282, 2564

Least Common Multiple of 2556 and 2564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2556 and 2564, than apply into the LCM equation.

GCF(2556,2564) = 4
LCM(2556,2564) = ( 2556 × 2564) / 4
LCM(2556,2564) = 6553584 / 4
LCM(2556,2564) = 1638396

Properties of LCM 2556 and 2564

(i) The LCM of 2564 and 2556 is associative

LCM of 2556 and 2564 = LCM of 2564 and 2556

Related Least Common Multiples of 2556

Related Least Common Multiples of 2564

Frequently Asked Questions on LCM of 2556 and 2564

1. What is the LCM of 2556 and 2564?

Answer: LCM of 2556 and 2564 is 1638396.

2. 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.

3. What are the Factors of 2564?

Answer: Factors of 2564 are 1, 2, 4, 641, 1282, 2564. There are 6 integers that are factors of 2564. The greatest factor of 2564 is 2564.

4. How to Find the LCM of 2556 and 2564?

Answer:

Least Common Multiple of 2556 and 2564 = 1638396

Step 1: Find the prime factorization of 2556

2556 = 2 x 2 x 3 x 3 x 71

Step 2: Find the prime factorization of 2564

2564 = 2 x 2 x 641

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

LCM = 1638396 = 2 x 2 x 3 x 3 x 71 x 641

Step 4: Therefore, the least common multiple of 2556 and 2564 is 1638396.