Least Common Multiple of 5564 and 5569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5564 and 5569 the smallest integer that is 30985916 that is divisible by both numbers.

Least Common Multiple (LCM) of 5564 and 5569 is 30985916.

LCM(5564,5569) = 30985916

LCM of 5564 and 5569

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

LCM of:
and

Least Common Multiple of 5564 and 5569

LCM of 5564 and 5569 is 30985916

Least common multiple can be found by multiplying the highest exponent prime factors of 5564 and 5569. First we will calculate the prime factors of 5564 and 5569.

Prime Factorization of 5564


2 5564
2 2782
13 1391
107 107
1

Prime factors of 5564 are 2, 13,107. Prime factorization of 5564 in exponential form is:

5564 = 22×131×1071

Prime Factorization of 5569


5569 5569
1

Prime factors of 5569 are 5569. Prime factorization of 5569 in exponential form is:

5569 = 55691

Now multiplying the highest exponent prime factors to calculate the LCM of 5564 and 5569.

LCM(5564,5569) = 22×131×1071×55691
LCM(5564,5569) = 30985916

Factors of 5564

List of positive integer factors of 5564 that divides 5564 without a remainder.

1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564

Factors of 5569

List of positive integer factors of 5569 that divides 5569 without a remainder.

1, 5569

Least Common Multiple of 5564 and 5569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5564 and 5569, than apply into the LCM equation.

GCF(5564,5569) = 1
LCM(5564,5569) = ( 5564 × 5569) / 1
LCM(5564,5569) = 30985916 / 1
LCM(5564,5569) = 30985916

Properties of LCM 5564 and 5569

(i) The LCM of 5569 and 5564 is associative

LCM of 5564 and 5569 = LCM of 5569 and 5564

Related Least Common Multiples of 5564

Related Least Common Multiples of 5569

Frequently Asked Questions on LCM of 5564 and 5569

1. What is the LCM of 5564 and 5569?

Answer: LCM of 5564 and 5569 is 30985916.

2. What are the Factors of 5564?

Answer: Factors of 5564 are 1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564. There are 12 integers that are factors of 5564. The greatest factor of 5564 is 5564.

3. What are the Factors of 5569?

Answer: Factors of 5569 are 1, 5569. There are 2 integers that are factors of 5569. The greatest factor of 5569 is 5569.

4. How to Find the LCM of 5564 and 5569?

Answer:

Least Common Multiple of 5564 and 5569 = 30985916

Step 1: Find the prime factorization of 5564

5564 = 2 x 2 x 13 x 107

Step 2: Find the prime factorization of 5569

5569 = 5569

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

LCM = 30985916 = 2 x 2 x 13 x 107 x 5569

Step 4: Therefore, the least common multiple of 5564 and 5569 is 30985916.