Least Common Multiple of 5566 and 5571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5566 and 5571 the smallest integer that is 31008186 that is divisible by both numbers.

Least Common Multiple (LCM) of 5566 and 5571 is 31008186.

LCM(5566,5571) = 31008186

LCM of 5566 and 5571

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

LCM of:
and

Least Common Multiple of 5566 and 5571

LCM of 5566 and 5571 is 31008186

Least common multiple can be found by multiplying the highest exponent prime factors of 5566 and 5571. First we will calculate the prime factors of 5566 and 5571.

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

Prime Factorization of 5571


3 5571
3 1857
619 619
1

Prime factors of 5571 are 3,619. Prime factorization of 5571 in exponential form is:

5571 = 32×6191

Now multiplying the highest exponent prime factors to calculate the LCM of 5566 and 5571.

LCM(5566,5571) = 21×32×112×231×6191
LCM(5566,5571) = 31008186

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

Factors of 5571

List of positive integer factors of 5571 that divides 5571 without a remainder.

1, 3, 9, 619, 1857, 5571

Least Common Multiple of 5566 and 5571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5566 and 5571, than apply into the LCM equation.

GCF(5566,5571) = 1
LCM(5566,5571) = ( 5566 × 5571) / 1
LCM(5566,5571) = 31008186 / 1
LCM(5566,5571) = 31008186

Properties of LCM 5566 and 5571

(i) The LCM of 5571 and 5566 is associative

LCM of 5566 and 5571 = LCM of 5571 and 5566

Related Least Common Multiples of 5566

Related Least Common Multiples of 5571

Frequently Asked Questions on LCM of 5566 and 5571

1. What is the LCM of 5566 and 5571?

Answer: LCM of 5566 and 5571 is 31008186.

2. 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.

3. What are the Factors of 5571?

Answer: Factors of 5571 are 1, 3, 9, 619, 1857, 5571. There are 6 integers that are factors of 5571. The greatest factor of 5571 is 5571.

4. How to Find the LCM of 5566 and 5571?

Answer:

Least Common Multiple of 5566 and 5571 = 31008186

Step 1: Find the prime factorization of 5566

5566 = 2 x 11 x 11 x 23

Step 2: Find the prime factorization of 5571

5571 = 3 x 3 x 619

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

LCM = 31008186 = 2 x 3 x 3 x 11 x 11 x 23 x 619

Step 4: Therefore, the least common multiple of 5566 and 5571 is 31008186.