Least Common Multiple of 5589 and 5596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5589 and 5596 the smallest integer that is 31276044 that is divisible by both numbers.

Least Common Multiple (LCM) of 5589 and 5596 is 31276044.

LCM(5589,5596) = 31276044

LCM of 5589 and 5596

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

LCM of:
and

Least Common Multiple of 5589 and 5596

LCM of 5589 and 5596 is 31276044

Least common multiple can be found by multiplying the highest exponent prime factors of 5589 and 5596. First we will calculate the prime factors of 5589 and 5596.

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

Prime Factorization of 5596


2 5596
2 2798
1399 1399
1

Prime factors of 5596 are 2,1399. Prime factorization of 5596 in exponential form is:

5596 = 22×13991

Now multiplying the highest exponent prime factors to calculate the LCM of 5589 and 5596.

LCM(5589,5596) = 22×35×231×13991
LCM(5589,5596) = 31276044

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

Factors of 5596

List of positive integer factors of 5596 that divides 5596 without a remainder.

1, 2, 4, 1399, 2798, 5596

Least Common Multiple of 5589 and 5596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5589 and 5596, than apply into the LCM equation.

GCF(5589,5596) = 1
LCM(5589,5596) = ( 5589 × 5596) / 1
LCM(5589,5596) = 31276044 / 1
LCM(5589,5596) = 31276044

Properties of LCM 5589 and 5596

(i) The LCM of 5596 and 5589 is associative

LCM of 5589 and 5596 = LCM of 5596 and 5589

Related Least Common Multiples of 5589

Related Least Common Multiples of 5596

Frequently Asked Questions on LCM of 5589 and 5596

1. What is the LCM of 5589 and 5596?

Answer: LCM of 5589 and 5596 is 31276044.

2. 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.

3. What are the Factors of 5596?

Answer: Factors of 5596 are 1, 2, 4, 1399, 2798, 5596. There are 6 integers that are factors of 5596. The greatest factor of 5596 is 5596.

4. How to Find the LCM of 5589 and 5596?

Answer:

Least Common Multiple of 5589 and 5596 = 31276044

Step 1: Find the prime factorization of 5589

5589 = 3 x 3 x 3 x 3 x 3 x 23

Step 2: Find the prime factorization of 5596

5596 = 2 x 2 x 1399

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

LCM = 31276044 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 23 x 1399

Step 4: Therefore, the least common multiple of 5589 and 5596 is 31276044.