Least Common Multiple of 5589 and 5594

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 5594 the smallest integer that is 31264866 that is divisible by both numbers.

Least Common Multiple (LCM) of 5589 and 5594 is 31264866.

LCM(5589,5594) = 31264866

LCM of 5589 and 5594

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

LCM of:
and

Least Common Multiple of 5589 and 5594

LCM of 5589 and 5594 is 31264866

Least common multiple can be found by multiplying the highest exponent prime factors of 5589 and 5594. First we will calculate the prime factors of 5589 and 5594.

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 5594


2 5594
2797 2797
1

Prime factors of 5594 are 2,2797. Prime factorization of 5594 in exponential form is:

5594 = 21×27971

Now multiplying the highest exponent prime factors to calculate the LCM of 5589 and 5594.

LCM(5589,5594) = 21×35×231×27971
LCM(5589,5594) = 31264866

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 5594

List of positive integer factors of 5594 that divides 5594 without a remainder.

1, 2, 2797, 5594

Least Common Multiple of 5589 and 5594 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 5594, than apply into the LCM equation.

GCF(5589,5594) = 1
LCM(5589,5594) = ( 5589 × 5594) / 1
LCM(5589,5594) = 31264866 / 1
LCM(5589,5594) = 31264866

Properties of LCM 5589 and 5594

(i) The LCM of 5594 and 5589 is associative

LCM of 5589 and 5594 = LCM of 5594 and 5589

Related Least Common Multiples of 5589

Related Least Common Multiples of 5594

Frequently Asked Questions on LCM of 5589 and 5594

1. What is the LCM of 5589 and 5594?

Answer: LCM of 5589 and 5594 is 31264866.

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 5594?

Answer: Factors of 5594 are 1, 2, 2797, 5594. There are 4 integers that are factors of 5594. The greatest factor of 5594 is 5594.

4. How to Find the LCM of 5589 and 5594?

Answer:

Least Common Multiple of 5589 and 5594 = 31264866

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 5594

5594 = 2 x 2797

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

LCM = 31264866 = 2 x 3 x 3 x 3 x 3 x 3 x 23 x 2797

Step 4: Therefore, the least common multiple of 5589 and 5594 is 31264866.