Least Common Multiple of 5585 and 5589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5585 and 5589 the smallest integer that is 31214565 that is divisible by both numbers.

Least Common Multiple (LCM) of 5585 and 5589 is 31214565.

LCM(5585,5589) = 31214565

LCM of 5585 and 5589

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

LCM of:
and

Least Common Multiple of 5585 and 5589

LCM of 5585 and 5589 is 31214565

Least common multiple can be found by multiplying the highest exponent prime factors of 5585 and 5589. First we will calculate the prime factors of 5585 and 5589.

Prime Factorization of 5585


5 5585
1117 1117
1

Prime factors of 5585 are 5,1117. Prime factorization of 5585 in exponential form is:

5585 = 51×11171

Prime Factorization of 5589


3 5589
3 1863
3 621
3 207
3 69
23 23
1

Prime factors of 5589 are 3,23. Prime factorization of 5589 in exponential form is:

5589 = 35×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5585 and 5589.

LCM(5585,5589) = 35×51×231×11171
LCM(5585,5589) = 31214565

Factors of 5585

List of positive integer factors of 5585 that divides 5585 without a remainder.

1, 5, 1117, 5585

Factors of 5589

List of positive integer factors of 5589 that divides 5589 without a remainder.

1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 1863, 5589

Least Common Multiple of 5585 and 5589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5585 and 5589, than apply into the LCM equation.

GCF(5585,5589) = 1
LCM(5585,5589) = ( 5585 × 5589) / 1
LCM(5585,5589) = 31214565 / 1
LCM(5585,5589) = 31214565

Properties of LCM 5585 and 5589

(i) The LCM of 5589 and 5585 is associative

LCM of 5585 and 5589 = LCM of 5589 and 5585

Related Least Common Multiples of 5585

Related Least Common Multiples of 5589

Frequently Asked Questions on LCM of 5585 and 5589

1. What is the LCM of 5585 and 5589?

Answer: LCM of 5585 and 5589 is 31214565.

2. What are the Factors of 5585?

Answer: Factors of 5585 are 1, 5, 1117, 5585. There are 4 integers that are factors of 5585. The greatest factor of 5585 is 5585.

3. What are the Factors of 5589?

Answer: Factors of 5589 are 1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 1863, 5589. There are 12 integers that are factors of 5589. The greatest factor of 5589 is 5589.

4. How to Find the LCM of 5585 and 5589?

Answer:

Least Common Multiple of 5585 and 5589 = 31214565

Step 1: Find the prime factorization of 5585

5585 = 5 x 1117

Step 2: Find the prime factorization of 5589

5589 = 3 x 3 x 3 x 3 x 3 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 = 31214565 = 3 x 3 x 3 x 3 x 3 x 5 x 23 x 1117

Step 4: Therefore, the least common multiple of 5585 and 5589 is 31214565.