Least Common Multiple of 5571 and 5576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5571 and 5576 the smallest integer that is 31063896 that is divisible by both numbers.

Least Common Multiple (LCM) of 5571 and 5576 is 31063896.

LCM(5571,5576) = 31063896

LCM of 5571 and 5576

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

LCM of:
and

Least Common Multiple of 5571 and 5576

LCM of 5571 and 5576 is 31063896

Least common multiple can be found by multiplying the highest exponent prime factors of 5571 and 5576. First we will calculate the prime factors of 5571 and 5576.

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

Prime Factorization of 5576


2 5576
2 2788
2 1394
17 697
41 41
1

Prime factors of 5576 are 2, 17,41. Prime factorization of 5576 in exponential form is:

5576 = 23×171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 5571 and 5576.

LCM(5571,5576) = 23×32×171×411×6191
LCM(5571,5576) = 31063896

Factors of 5571

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

1, 3, 9, 619, 1857, 5571

Factors of 5576

List of positive integer factors of 5576 that divides 5576 without a remainder.

1, 2, 4, 8, 17, 34, 41, 68, 82, 136, 164, 328, 697, 1394, 2788, 5576

Least Common Multiple of 5571 and 5576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5571 and 5576, than apply into the LCM equation.

GCF(5571,5576) = 1
LCM(5571,5576) = ( 5571 × 5576) / 1
LCM(5571,5576) = 31063896 / 1
LCM(5571,5576) = 31063896

Properties of LCM 5571 and 5576

(i) The LCM of 5576 and 5571 is associative

LCM of 5571 and 5576 = LCM of 5576 and 5571

Related Least Common Multiples of 5571

Related Least Common Multiples of 5576

Frequently Asked Questions on LCM of 5571 and 5576

1. What is the LCM of 5571 and 5576?

Answer: LCM of 5571 and 5576 is 31063896.

2. 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.

3. What are the Factors of 5576?

Answer: Factors of 5576 are 1, 2, 4, 8, 17, 34, 41, 68, 82, 136, 164, 328, 697, 1394, 2788, 5576. There are 16 integers that are factors of 5576. The greatest factor of 5576 is 5576.

4. How to Find the LCM of 5571 and 5576?

Answer:

Least Common Multiple of 5571 and 5576 = 31063896

Step 1: Find the prime factorization of 5571

5571 = 3 x 3 x 619

Step 2: Find the prime factorization of 5576

5576 = 2 x 2 x 2 x 17 x 41

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

LCM = 31063896 = 2 x 2 x 2 x 3 x 3 x 17 x 41 x 619

Step 4: Therefore, the least common multiple of 5571 and 5576 is 31063896.