Least Common Multiple of 5565 and 5568

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 5568 the smallest integer that is 10328640 that is divisible by both numbers.

Least Common Multiple (LCM) of 5565 and 5568 is 10328640.

LCM(5565,5568) = 10328640

LCM of 5565 and 5568

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

LCM of:
and

Least Common Multiple of 5565 and 5568

LCM of 5565 and 5568 is 10328640

Least common multiple can be found by multiplying the highest exponent prime factors of 5565 and 5568. First we will calculate the prime factors of 5565 and 5568.

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 5568


2 5568
2 2784
2 1392
2 696
2 348
2 174
3 87
29 29
1

Prime factors of 5568 are 2, 3,29. Prime factorization of 5568 in exponential form is:

5568 = 26×31×291

Now multiplying the highest exponent prime factors to calculate the LCM of 5565 and 5568.

LCM(5565,5568) = 26×31×51×71×291×531
LCM(5565,5568) = 10328640

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 5568

List of positive integer factors of 5568 that divides 5568 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 174, 192, 232, 348, 464, 696, 928, 1392, 1856, 2784, 5568

Least Common Multiple of 5565 and 5568 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 5568, than apply into the LCM equation.

GCF(5565,5568) = 3
LCM(5565,5568) = ( 5565 × 5568) / 3
LCM(5565,5568) = 30985920 / 3
LCM(5565,5568) = 10328640

Properties of LCM 5565 and 5568

(i) The LCM of 5568 and 5565 is associative

LCM of 5565 and 5568 = LCM of 5568 and 5565

Related Least Common Multiples of 5565

Related Least Common Multiples of 5568

Frequently Asked Questions on LCM of 5565 and 5568

1. What is the LCM of 5565 and 5568?

Answer: LCM of 5565 and 5568 is 10328640.

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 5568?

Answer: Factors of 5568 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 174, 192, 232, 348, 464, 696, 928, 1392, 1856, 2784, 5568. There are 28 integers that are factors of 5568. The greatest factor of 5568 is 5568.

4. How to Find the LCM of 5565 and 5568?

Answer:

Least Common Multiple of 5565 and 5568 = 10328640

Step 1: Find the prime factorization of 5565

5565 = 3 x 5 x 7 x 53

Step 2: Find the prime factorization of 5568

5568 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 29

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

LCM = 10328640 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 29 x 53

Step 4: Therefore, the least common multiple of 5565 and 5568 is 10328640.