Least Common Multiple of 5584 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 5584 and 5589 the smallest integer that is 31208976 that is divisible by both numbers.

Least Common Multiple (LCM) of 5584 and 5589 is 31208976.

LCM(5584,5589) = 31208976

LCM of 5584 and 5589

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

LCM of:
and

Least Common Multiple of 5584 and 5589

LCM of 5584 and 5589 is 31208976

Least common multiple can be found by multiplying the highest exponent prime factors of 5584 and 5589. First we will calculate the prime factors of 5584 and 5589.

Prime Factorization of 5584


2 5584
2 2792
2 1396
2 698
349 349
1

Prime factors of 5584 are 2,349. Prime factorization of 5584 in exponential form is:

5584 = 24×3491

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 5584 and 5589.

LCM(5584,5589) = 24×35×231×3491
LCM(5584,5589) = 31208976

Factors of 5584

List of positive integer factors of 5584 that divides 5584 without a remainder.

1, 2, 4, 8, 16, 349, 698, 1396, 2792, 5584

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 5584 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 5584 and 5589, than apply into the LCM equation.

GCF(5584,5589) = 1
LCM(5584,5589) = ( 5584 × 5589) / 1
LCM(5584,5589) = 31208976 / 1
LCM(5584,5589) = 31208976

Properties of LCM 5584 and 5589

(i) The LCM of 5589 and 5584 is associative

LCM of 5584 and 5589 = LCM of 5589 and 5584

Related Least Common Multiples of 5584

Related Least Common Multiples of 5589

Frequently Asked Questions on LCM of 5584 and 5589

1. What is the LCM of 5584 and 5589?

Answer: LCM of 5584 and 5589 is 31208976.

2. What are the Factors of 5584?

Answer: Factors of 5584 are 1, 2, 4, 8, 16, 349, 698, 1396, 2792, 5584. There are 10 integers that are factors of 5584. The greatest factor of 5584 is 5584.

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 5584 and 5589?

Answer:

Least Common Multiple of 5584 and 5589 = 31208976

Step 1: Find the prime factorization of 5584

5584 = 2 x 2 x 2 x 2 x 349

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 = 31208976 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 23 x 349

Step 4: Therefore, the least common multiple of 5584 and 5589 is 31208976.