Least Common Multiple of 5560 and 5565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5560 and 5565 the smallest integer that is 6188280 that is divisible by both numbers.

Least Common Multiple (LCM) of 5560 and 5565 is 6188280.

LCM(5560,5565) = 6188280

LCM of 5560 and 5565

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

LCM of:
and

Least Common Multiple of 5560 and 5565

LCM of 5560 and 5565 is 6188280

Least common multiple can be found by multiplying the highest exponent prime factors of 5560 and 5565. First we will calculate the prime factors of 5560 and 5565.

Prime Factorization of 5560


2 5560
2 2780
2 1390
5 695
139 139
1

Prime factors of 5560 are 2, 5,139. Prime factorization of 5560 in exponential form is:

5560 = 23×51×1391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5560 and 5565.

LCM(5560,5565) = 23×31×51×71×531×1391
LCM(5560,5565) = 6188280

Factors of 5560

List of positive integer factors of 5560 that divides 5560 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 139, 278, 556, 695, 1112, 1390, 2780, 5560

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

Least Common Multiple of 5560 and 5565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5560 and 5565, than apply into the LCM equation.

GCF(5560,5565) = 5
LCM(5560,5565) = ( 5560 × 5565) / 5
LCM(5560,5565) = 30941400 / 5
LCM(5560,5565) = 6188280

Properties of LCM 5560 and 5565

(i) The LCM of 5565 and 5560 is associative

LCM of 5560 and 5565 = LCM of 5565 and 5560

Related Least Common Multiples of 5560

Related Least Common Multiples of 5565

Frequently Asked Questions on LCM of 5560 and 5565

1. What is the LCM of 5560 and 5565?

Answer: LCM of 5560 and 5565 is 6188280.

2. What are the Factors of 5560?

Answer: Factors of 5560 are 1, 2, 4, 5, 8, 10, 20, 40, 139, 278, 556, 695, 1112, 1390, 2780, 5560. There are 16 integers that are factors of 5560. The greatest factor of 5560 is 5560.

3. 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.

4. How to Find the LCM of 5560 and 5565?

Answer:

Least Common Multiple of 5560 and 5565 = 6188280

Step 1: Find the prime factorization of 5560

5560 = 2 x 2 x 2 x 5 x 139

Step 2: Find the prime factorization of 5565

5565 = 3 x 5 x 7 x 53

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

LCM = 6188280 = 2 x 2 x 2 x 3 x 5 x 7 x 53 x 139

Step 4: Therefore, the least common multiple of 5560 and 5565 is 6188280.