Least Common Multiple of 5565 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 5565 and 5573 the smallest integer that is 31013745 that is divisible by both numbers.

Least Common Multiple (LCM) of 5565 and 5573 is 31013745.

LCM(5565,5573) = 31013745

LCM of 5565 and 5573

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

LCM of:
and

Least Common Multiple of 5565 and 5573

LCM of 5565 and 5573 is 31013745

Least common multiple can be found by multiplying the highest exponent prime factors of 5565 and 5573. First we will calculate the prime factors of 5565 and 5573.

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 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 5565 and 5573.

LCM(5565,5573) = 31×51×71×531×55731
LCM(5565,5573) = 31013745

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 5573

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

1, 5573

Least Common Multiple of 5565 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 5565 and 5573, than apply into the LCM equation.

GCF(5565,5573) = 1
LCM(5565,5573) = ( 5565 × 5573) / 1
LCM(5565,5573) = 31013745 / 1
LCM(5565,5573) = 31013745

Properties of LCM 5565 and 5573

(i) The LCM of 5573 and 5565 is associative

LCM of 5565 and 5573 = LCM of 5573 and 5565

Related Least Common Multiples of 5565

Related Least Common Multiples of 5573

Frequently Asked Questions on LCM of 5565 and 5573

1. What is the LCM of 5565 and 5573?

Answer: LCM of 5565 and 5573 is 31013745.

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 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 5565 and 5573?

Answer:

Least Common Multiple of 5565 and 5573 = 31013745

Step 1: Find the prime factorization of 5565

5565 = 3 x 5 x 7 x 53

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 = 31013745 = 3 x 5 x 7 x 53 x 5573

Step 4: Therefore, the least common multiple of 5565 and 5573 is 31013745.