Least Common Multiple of 5569 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 5569 and 5576 the smallest integer that is 31052744 that is divisible by both numbers.

Least Common Multiple (LCM) of 5569 and 5576 is 31052744.

LCM(5569,5576) = 31052744

LCM of 5569 and 5576

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

LCM of:
and

Least Common Multiple of 5569 and 5576

LCM of 5569 and 5576 is 31052744

Least common multiple can be found by multiplying the highest exponent prime factors of 5569 and 5576. First we will calculate the prime factors of 5569 and 5576.

Prime Factorization of 5569


5569 5569
1

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

5569 = 55691

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 5569 and 5576.

LCM(5569,5576) = 23×171×411×55691
LCM(5569,5576) = 31052744

Factors of 5569

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

1, 5569

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 5569 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 5569 and 5576, than apply into the LCM equation.

GCF(5569,5576) = 1
LCM(5569,5576) = ( 5569 × 5576) / 1
LCM(5569,5576) = 31052744 / 1
LCM(5569,5576) = 31052744

Properties of LCM 5569 and 5576

(i) The LCM of 5576 and 5569 is associative

LCM of 5569 and 5576 = LCM of 5576 and 5569

Related Least Common Multiples of 5569

Related Least Common Multiples of 5576

Frequently Asked Questions on LCM of 5569 and 5576

1. What is the LCM of 5569 and 5576?

Answer: LCM of 5569 and 5576 is 31052744.

2. 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.

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 5569 and 5576?

Answer:

Least Common Multiple of 5569 and 5576 = 31052744

Step 1: Find the prime factorization of 5569

5569 = 5569

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 = 31052744 = 2 x 2 x 2 x 17 x 41 x 5569

Step 4: Therefore, the least common multiple of 5569 and 5576 is 31052744.