Least Common Multiple of 5559 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 5559 and 5565 the smallest integer that is 10311945 that is divisible by both numbers.

Least Common Multiple (LCM) of 5559 and 5565 is 10311945.

LCM(5559,5565) = 10311945

LCM of 5559 and 5565

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

LCM of:
and

Least Common Multiple of 5559 and 5565

LCM of 5559 and 5565 is 10311945

Least common multiple can be found by multiplying the highest exponent prime factors of 5559 and 5565. First we will calculate the prime factors of 5559 and 5565.

Prime Factorization of 5559


3 5559
17 1853
109 109
1

Prime factors of 5559 are 3, 17,109. Prime factorization of 5559 in exponential form is:

5559 = 31×171×1091

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 5559 and 5565.

LCM(5559,5565) = 31×51×71×171×531×1091
LCM(5559,5565) = 10311945

Factors of 5559

List of positive integer factors of 5559 that divides 5559 without a remainder.

1, 3, 17, 51, 109, 327, 1853, 5559

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 5559 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 5559 and 5565, than apply into the LCM equation.

GCF(5559,5565) = 3
LCM(5559,5565) = ( 5559 × 5565) / 3
LCM(5559,5565) = 30935835 / 3
LCM(5559,5565) = 10311945

Properties of LCM 5559 and 5565

(i) The LCM of 5565 and 5559 is associative

LCM of 5559 and 5565 = LCM of 5565 and 5559

Related Least Common Multiples of 5559

Related Least Common Multiples of 5565

Frequently Asked Questions on LCM of 5559 and 5565

1. What is the LCM of 5559 and 5565?

Answer: LCM of 5559 and 5565 is 10311945.

2. What are the Factors of 5559?

Answer: Factors of 5559 are 1, 3, 17, 51, 109, 327, 1853, 5559. There are 8 integers that are factors of 5559. The greatest factor of 5559 is 5559.

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 5559 and 5565?

Answer:

Least Common Multiple of 5559 and 5565 = 10311945

Step 1: Find the prime factorization of 5559

5559 = 3 x 17 x 109

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 = 10311945 = 3 x 5 x 7 x 17 x 53 x 109

Step 4: Therefore, the least common multiple of 5559 and 5565 is 10311945.