Least Common Multiple of 5563 and 5566

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 5566 the smallest integer that is 30963658 that is divisible by both numbers.

Least Common Multiple (LCM) of 5563 and 5566 is 30963658.

LCM(5563,5566) = 30963658

LCM of 5563 and 5566

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

LCM of:
and

Least Common Multiple of 5563 and 5566

LCM of 5563 and 5566 is 30963658

Least common multiple can be found by multiplying the highest exponent prime factors of 5563 and 5566. First we will calculate the prime factors of 5563 and 5566.

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 5566


2 5566
11 2783
11 253
23 23
1

Prime factors of 5566 are 2, 11,23. Prime factorization of 5566 in exponential form is:

5566 = 21×112×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5563 and 5566.

LCM(5563,5566) = 21×112×231×55631
LCM(5563,5566) = 30963658

Factors of 5563

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

1, 5563

Factors of 5566

List of positive integer factors of 5566 that divides 5566 without a remainder.

1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566

Least Common Multiple of 5563 and 5566 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 5566, than apply into the LCM equation.

GCF(5563,5566) = 1
LCM(5563,5566) = ( 5563 × 5566) / 1
LCM(5563,5566) = 30963658 / 1
LCM(5563,5566) = 30963658

Properties of LCM 5563 and 5566

(i) The LCM of 5566 and 5563 is associative

LCM of 5563 and 5566 = LCM of 5566 and 5563

Related Least Common Multiples of 5563

Related Least Common Multiples of 5566

Frequently Asked Questions on LCM of 5563 and 5566

1. What is the LCM of 5563 and 5566?

Answer: LCM of 5563 and 5566 is 30963658.

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 5566?

Answer: Factors of 5566 are 1, 2, 11, 22, 23, 46, 121, 242, 253, 506, 2783, 5566. There are 12 integers that are factors of 5566. The greatest factor of 5566 is 5566.

4. How to Find the LCM of 5563 and 5566?

Answer:

Least Common Multiple of 5563 and 5566 = 30963658

Step 1: Find the prime factorization of 5563

5563 = 5563

Step 2: Find the prime factorization of 5566

5566 = 2 x 11 x 11 x 23

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

LCM = 30963658 = 2 x 11 x 11 x 23 x 5563

Step 4: Therefore, the least common multiple of 5563 and 5566 is 30963658.