Least Common Multiple of 5564 and 5566

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 5566 the smallest integer that is 15484612 that is divisible by both numbers.

Least Common Multiple (LCM) of 5564 and 5566 is 15484612.

LCM(5564,5566) = 15484612

LCM of 5564 and 5566

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

LCM of:
and

Least Common Multiple of 5564 and 5566

LCM of 5564 and 5566 is 15484612

Least common multiple can be found by multiplying the highest exponent prime factors of 5564 and 5566. First we will calculate the prime factors of 5564 and 5566.

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 5566


2 5566
11 2783
11 253
23 23
1

Prime factors of 5566 are 2, 11,23. Prime factorization of 5566 in exponential form is:

5566 = 21×112×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5564 and 5566.

LCM(5564,5566) = 22×112×131×231×1071
LCM(5564,5566) = 15484612

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 5566

List of positive integer factors of 5566 that divides 5566 without a remainder.

1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566

Least Common Multiple of 5564 and 5566 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 5566, than apply into the LCM equation.

GCF(5564,5566) = 2
LCM(5564,5566) = ( 5564 × 5566) / 2
LCM(5564,5566) = 30969224 / 2
LCM(5564,5566) = 15484612

Properties of LCM 5564 and 5566

(i) The LCM of 5566 and 5564 is associative

LCM of 5564 and 5566 = LCM of 5566 and 5564

Related Least Common Multiples of 5564

Related Least Common Multiples of 5566

Frequently Asked Questions on LCM of 5564 and 5566

1. What is the LCM of 5564 and 5566?

Answer: LCM of 5564 and 5566 is 15484612.

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 5566?

Answer: Factors of 5566 are 1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566. There are 12 integers that are factors of 5566. The greatest factor of 5566 is 5566.

4. How to Find the LCM of 5564 and 5566?

Answer:

Least Common Multiple of 5564 and 5566 = 15484612

Step 1: Find the prime factorization of 5564

5564 = 2 x 2 x 13 x 107

Step 2: Find the prime factorization of 5566

5566 = 2 x 11 x 11 x 23

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

LCM = 15484612 = 2 x 2 x 11 x 11 x 13 x 23 x 107

Step 4: Therefore, the least common multiple of 5564 and 5566 is 15484612.