Least Common Multiple of 2564 and 2569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2564 and 2569 the smallest integer that is 6586916 that is divisible by both numbers.

Least Common Multiple (LCM) of 2564 and 2569 is 6586916.

LCM(2564,2569) = 6586916

LCM of 2564 and 2569

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

LCM of:
and

Least Common Multiple of 2564 and 2569

LCM of 2564 and 2569 is 6586916

Least common multiple can be found by multiplying the highest exponent prime factors of 2564 and 2569. First we will calculate the prime factors of 2564 and 2569.

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

Prime Factorization of 2569


7 2569
367 367
1

Prime factors of 2569 are 7,367. Prime factorization of 2569 in exponential form is:

2569 = 71×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 2564 and 2569.

LCM(2564,2569) = 22×71×3671×6411
LCM(2564,2569) = 6586916

Factors of 2564

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

1, 2, 4, 641, 1282, 2564

Factors of 2569

List of positive integer factors of 2569 that divides 2569 without a remainder.

1, 7, 367, 2569

Least Common Multiple of 2564 and 2569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2564 and 2569, than apply into the LCM equation.

GCF(2564,2569) = 1
LCM(2564,2569) = ( 2564 × 2569) / 1
LCM(2564,2569) = 6586916 / 1
LCM(2564,2569) = 6586916

Properties of LCM 2564 and 2569

(i) The LCM of 2569 and 2564 is associative

LCM of 2564 and 2569 = LCM of 2569 and 2564

Related Least Common Multiples of 2564

Related Least Common Multiples of 2569

Frequently Asked Questions on LCM of 2564 and 2569

1. What is the LCM of 2564 and 2569?

Answer: LCM of 2564 and 2569 is 6586916.

2. 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.

3. What are the Factors of 2569?

Answer: Factors of 2569 are 1, 7, 367, 2569. There are 4 integers that are factors of 2569. The greatest factor of 2569 is 2569.

4. How to Find the LCM of 2564 and 2569?

Answer:

Least Common Multiple of 2564 and 2569 = 6586916

Step 1: Find the prime factorization of 2564

2564 = 2 x 2 x 641

Step 2: Find the prime factorization of 2569

2569 = 7 x 367

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

LCM = 6586916 = 2 x 2 x 7 x 367 x 641

Step 4: Therefore, the least common multiple of 2564 and 2569 is 6586916.