Least Common Multiple of 5568 and 5575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5568 and 5575 the smallest integer that is 31041600 that is divisible by both numbers.

Least Common Multiple (LCM) of 5568 and 5575 is 31041600.

LCM(5568,5575) = 31041600

LCM of 5568 and 5575

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

LCM of:
and

Least Common Multiple of 5568 and 5575

LCM of 5568 and 5575 is 31041600

Least common multiple can be found by multiplying the highest exponent prime factors of 5568 and 5575. First we will calculate the prime factors of 5568 and 5575.

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

Prime Factorization of 5575


5 5575
5 1115
223 223
1

Prime factors of 5575 are 5,223. Prime factorization of 5575 in exponential form is:

5575 = 52×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 5568 and 5575.

LCM(5568,5575) = 26×31×52×291×2231
LCM(5568,5575) = 31041600

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

Factors of 5575

List of positive integer factors of 5575 that divides 5575 without a remainder.

1, 5, 25, 223, 1115, 5575

Least Common Multiple of 5568 and 5575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5568 and 5575, than apply into the LCM equation.

GCF(5568,5575) = 1
LCM(5568,5575) = ( 5568 × 5575) / 1
LCM(5568,5575) = 31041600 / 1
LCM(5568,5575) = 31041600

Properties of LCM 5568 and 5575

(i) The LCM of 5575 and 5568 is associative

LCM of 5568 and 5575 = LCM of 5575 and 5568

Related Least Common Multiples of 5568

Related Least Common Multiples of 5575

Frequently Asked Questions on LCM of 5568 and 5575

1. What is the LCM of 5568 and 5575?

Answer: LCM of 5568 and 5575 is 31041600.

2. 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.

3. What are the Factors of 5575?

Answer: Factors of 5575 are 1, 5, 25, 223, 1115, 5575. There are 6 integers that are factors of 5575. The greatest factor of 5575 is 5575.

4. How to Find the LCM of 5568 and 5575?

Answer:

Least Common Multiple of 5568 and 5575 = 31041600

Step 1: Find the prime factorization of 5568

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

Step 2: Find the prime factorization of 5575

5575 = 5 x 5 x 223

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

LCM = 31041600 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 29 x 223

Step 4: Therefore, the least common multiple of 5568 and 5575 is 31041600.