Least Common Multiple of 5566 and 5573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5566 and 5573 the smallest integer that is 31019318 that is divisible by both numbers.

Least Common Multiple (LCM) of 5566 and 5573 is 31019318.

LCM(5566,5573) = 31019318

LCM of 5566 and 5573

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

LCM of:
and

Least Common Multiple of 5566 and 5573

LCM of 5566 and 5573 is 31019318

Least common multiple can be found by multiplying the highest exponent prime factors of 5566 and 5573. First we will calculate the prime factors of 5566 and 5573.

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

Prime Factorization of 5573


5573 5573
1

Prime factors of 5573 are 5573. Prime factorization of 5573 in exponential form is:

5573 = 55731

Now multiplying the highest exponent prime factors to calculate the LCM of 5566 and 5573.

LCM(5566,5573) = 21×112×231×55731
LCM(5566,5573) = 31019318

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

Factors of 5573

List of positive integer factors of 5573 that divides 5573 without a remainder.

1, 5573

Least Common Multiple of 5566 and 5573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5566 and 5573, than apply into the LCM equation.

GCF(5566,5573) = 1
LCM(5566,5573) = ( 5566 × 5573) / 1
LCM(5566,5573) = 31019318 / 1
LCM(5566,5573) = 31019318

Properties of LCM 5566 and 5573

(i) The LCM of 5573 and 5566 is associative

LCM of 5566 and 5573 = LCM of 5573 and 5566

Related Least Common Multiples of 5566

Related Least Common Multiples of 5573

Frequently Asked Questions on LCM of 5566 and 5573

1. What is the LCM of 5566 and 5573?

Answer: LCM of 5566 and 5573 is 31019318.

2. 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.

3. What are the Factors of 5573?

Answer: Factors of 5573 are 1, 5573. There are 2 integers that are factors of 5573. The greatest factor of 5573 is 5573.

4. How to Find the LCM of 5566 and 5573?

Answer:

Least Common Multiple of 5566 and 5573 = 31019318

Step 1: Find the prime factorization of 5566

5566 = 2 x 11 x 11 x 23

Step 2: Find the prime factorization of 5573

5573 = 5573

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

LCM = 31019318 = 2 x 11 x 11 x 23 x 5573

Step 4: Therefore, the least common multiple of 5566 and 5573 is 31019318.