Least Common Multiple of 5563 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 5563 and 5568 the smallest integer that is 30974784 that is divisible by both numbers.

Least Common Multiple (LCM) of 5563 and 5568 is 30974784.

LCM(5563,5568) = 30974784

LCM of 5563 and 5568

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

LCM of:
and

Least Common Multiple of 5563 and 5568

LCM of 5563 and 5568 is 30974784

Least common multiple can be found by multiplying the highest exponent prime factors of 5563 and 5568. First we will calculate the prime factors of 5563 and 5568.

Prime Factorization of 5563


5563 5563
1

Prime factors of 5563 are 5563. Prime factorization of 5563 in exponential form is:

5563 = 55631

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 5563 and 5568.

LCM(5563,5568) = 26×31×291×55631
LCM(5563,5568) = 30974784

Factors of 5563

List of positive integer factors of 5563 that divides 5563 without a remainder.

1, 5563

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 5563 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 5563 and 5568, than apply into the LCM equation.

GCF(5563,5568) = 1
LCM(5563,5568) = ( 5563 × 5568) / 1
LCM(5563,5568) = 30974784 / 1
LCM(5563,5568) = 30974784

Properties of LCM 5563 and 5568

(i) The LCM of 5568 and 5563 is associative

LCM of 5563 and 5568 = LCM of 5568 and 5563

Related Least Common Multiples of 5563

Related Least Common Multiples of 5568

Frequently Asked Questions on LCM of 5563 and 5568

1. What is the LCM of 5563 and 5568?

Answer: LCM of 5563 and 5568 is 30974784.

2. What are the Factors of 5563?

Answer: Factors of 5563 are 1, 5563. There are 2 integers that are factors of 5563. The greatest factor of 5563 is 5563.

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 5563 and 5568?

Answer:

Least Common Multiple of 5563 and 5568 = 30974784

Step 1: Find the prime factorization of 5563

5563 = 5563

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 = 30974784 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 29 x 5563

Step 4: Therefore, the least common multiple of 5563 and 5568 is 30974784.