Least Common Multiple of 5585 and 5593

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 5593 the smallest integer that is 31236905 that is divisible by both numbers.

Least Common Multiple (LCM) of 5585 and 5593 is 31236905.

LCM(5585,5593) = 31236905

LCM of 5585 and 5593

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

LCM of:
and

Least Common Multiple of 5585 and 5593

LCM of 5585 and 5593 is 31236905

Least common multiple can be found by multiplying the highest exponent prime factors of 5585 and 5593. First we will calculate the prime factors of 5585 and 5593.

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 5593


7 5593
17 799
47 47
1

Prime factors of 5593 are 7, 17,47. Prime factorization of 5593 in exponential form is:

5593 = 71×171×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5585 and 5593.

LCM(5585,5593) = 51×71×171×471×11171
LCM(5585,5593) = 31236905

Factors of 5585

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

1, 5, 1117, 5585

Factors of 5593

List of positive integer factors of 5593 that divides 5593 without a remainder.

1, 7, 17, 47, 119, 329, 799, 5593

Least Common Multiple of 5585 and 5593 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 5593, than apply into the LCM equation.

GCF(5585,5593) = 1
LCM(5585,5593) = ( 5585 × 5593) / 1
LCM(5585,5593) = 31236905 / 1
LCM(5585,5593) = 31236905

Properties of LCM 5585 and 5593

(i) The LCM of 5593 and 5585 is associative

LCM of 5585 and 5593 = LCM of 5593 and 5585

Related Least Common Multiples of 5585

Related Least Common Multiples of 5593

Frequently Asked Questions on LCM of 5585 and 5593

1. What is the LCM of 5585 and 5593?

Answer: LCM of 5585 and 5593 is 31236905.

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 5593?

Answer: Factors of 5593 are 1, 7, 17, 47, 119, 329, 799, 5593. There are 8 integers that are factors of 5593. The greatest factor of 5593 is 5593.

4. How to Find the LCM of 5585 and 5593?

Answer:

Least Common Multiple of 5585 and 5593 = 31236905

Step 1: Find the prime factorization of 5585

5585 = 5 x 1117

Step 2: Find the prime factorization of 5593

5593 = 7 x 17 x 47

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

LCM = 31236905 = 5 x 7 x 17 x 47 x 1117

Step 4: Therefore, the least common multiple of 5585 and 5593 is 31236905.