Least Common Multiple of 5588 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 5588 and 5593 the smallest integer that is 31253684 that is divisible by both numbers.

Least Common Multiple (LCM) of 5588 and 5593 is 31253684.

LCM(5588,5593) = 31253684

LCM of 5588 and 5593

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

LCM of:
and

Least Common Multiple of 5588 and 5593

LCM of 5588 and 5593 is 31253684

Least common multiple can be found by multiplying the highest exponent prime factors of 5588 and 5593. First we will calculate the prime factors of 5588 and 5593.

Prime Factorization of 5588


2 5588
2 2794
11 1397
127 127
1

Prime factors of 5588 are 2, 11,127. Prime factorization of 5588 in exponential form is:

5588 = 22×111×1271

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 5588 and 5593.

LCM(5588,5593) = 22×71×111×171×471×1271
LCM(5588,5593) = 31253684

Factors of 5588

List of positive integer factors of 5588 that divides 5588 without a remainder.

1, 2, 4, 11, 22, 44, 127, 254, 508, 1397, 2794, 5588

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 5588 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 5588 and 5593, than apply into the LCM equation.

GCF(5588,5593) = 1
LCM(5588,5593) = ( 5588 × 5593) / 1
LCM(5588,5593) = 31253684 / 1
LCM(5588,5593) = 31253684

Properties of LCM 5588 and 5593

(i) The LCM of 5593 and 5588 is associative

LCM of 5588 and 5593 = LCM of 5593 and 5588

Related Least Common Multiples of 5588

Related Least Common Multiples of 5593

Frequently Asked Questions on LCM of 5588 and 5593

1. What is the LCM of 5588 and 5593?

Answer: LCM of 5588 and 5593 is 31253684.

2. What are the Factors of 5588?

Answer: Factors of 5588 are 1, 2, 4, 11, 22, 44, 127, 254, 508, 1397, 2794, 5588. There are 12 integers that are factors of 5588. The greatest factor of 5588 is 5588.

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 5588 and 5593?

Answer:

Least Common Multiple of 5588 and 5593 = 31253684

Step 1: Find the prime factorization of 5588

5588 = 2 x 2 x 11 x 127

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 = 31253684 = 2 x 2 x 7 x 11 x 17 x 47 x 127

Step 4: Therefore, the least common multiple of 5588 and 5593 is 31253684.