Least Common Multiple of 5565 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 5565 and 5571 the smallest integer that is 10334205 that is divisible by both numbers.

Least Common Multiple (LCM) of 5565 and 5571 is 10334205.

LCM(5565,5571) = 10334205

LCM of 5565 and 5571

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

LCM of:
and

Least Common Multiple of 5565 and 5571

LCM of 5565 and 5571 is 10334205

Least common multiple can be found by multiplying the highest exponent prime factors of 5565 and 5571. First we will calculate the prime factors of 5565 and 5571.

Prime Factorization of 5565


3 5565
5 1855
7 371
53 53
1

Prime factors of 5565 are 3, 5, 7,53. Prime factorization of 5565 in exponential form is:

5565 = 31×51×71×531

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 5565 and 5571.

LCM(5565,5571) = 32×51×71×531×6191
LCM(5565,5571) = 10334205

Factors of 5565

List of positive integer factors of 5565 that divides 5565 without a remainder.

1, 3, 5, 7, 15, 21, 35, 53, 105, 159, 265, 371, 795, 1113, 1855, 5565

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 5565 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 5565 and 5571, than apply into the LCM equation.

GCF(5565,5571) = 3
LCM(5565,5571) = ( 5565 × 5571) / 3
LCM(5565,5571) = 31002615 / 3
LCM(5565,5571) = 10334205

Properties of LCM 5565 and 5571

(i) The LCM of 5571 and 5565 is associative

LCM of 5565 and 5571 = LCM of 5571 and 5565

Related Least Common Multiples of 5565

Related Least Common Multiples of 5571

Frequently Asked Questions on LCM of 5565 and 5571

1. What is the LCM of 5565 and 5571?

Answer: LCM of 5565 and 5571 is 10334205.

2. What are the Factors of 5565?

Answer: Factors of 5565 are 1, 3, 5, 7, 15, 21, 35, 53, 105, 159, 265, 371, 795, 1113, 1855, 5565. There are 16 integers that are factors of 5565. The greatest factor of 5565 is 5565.

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 5565 and 5571?

Answer:

Least Common Multiple of 5565 and 5571 = 10334205

Step 1: Find the prime factorization of 5565

5565 = 3 x 5 x 7 x 53

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 = 10334205 = 3 x 3 x 5 x 7 x 53 x 619

Step 4: Therefore, the least common multiple of 5565 and 5571 is 10334205.