Least Common Multiple of 5593 and 5598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5593 and 5598 the smallest integer that is 31309614 that is divisible by both numbers.

Least Common Multiple (LCM) of 5593 and 5598 is 31309614.

LCM(5593,5598) = 31309614

LCM of 5593 and 5598

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

LCM of:
and

Least Common Multiple of 5593 and 5598

LCM of 5593 and 5598 is 31309614

Least common multiple can be found by multiplying the highest exponent prime factors of 5593 and 5598. First we will calculate the prime factors of 5593 and 5598.

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

Prime Factorization of 5598


2 5598
3 2799
3 933
311 311
1

Prime factors of 5598 are 2, 3,311. Prime factorization of 5598 in exponential form is:

5598 = 21×32×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 5593 and 5598.

LCM(5593,5598) = 21×32×71×171×471×3111
LCM(5593,5598) = 31309614

Factors of 5593

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

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

Factors of 5598

List of positive integer factors of 5598 that divides 5598 without a remainder.

1, 2, 3, 6, 9, 18, 311, 622, 933, 1866, 2799, 5598

Least Common Multiple of 5593 and 5598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5593 and 5598, than apply into the LCM equation.

GCF(5593,5598) = 1
LCM(5593,5598) = ( 5593 × 5598) / 1
LCM(5593,5598) = 31309614 / 1
LCM(5593,5598) = 31309614

Properties of LCM 5593 and 5598

(i) The LCM of 5598 and 5593 is associative

LCM of 5593 and 5598 = LCM of 5598 and 5593

Related Least Common Multiples of 5593

Related Least Common Multiples of 5598

Frequently Asked Questions on LCM of 5593 and 5598

1. What is the LCM of 5593 and 5598?

Answer: LCM of 5593 and 5598 is 31309614.

2. 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.

3. What are the Factors of 5598?

Answer: Factors of 5598 are 1, 2, 3, 6, 9, 18, 311, 622, 933, 1866, 2799, 5598. There are 12 integers that are factors of 5598. The greatest factor of 5598 is 5598.

4. How to Find the LCM of 5593 and 5598?

Answer:

Least Common Multiple of 5593 and 5598 = 31309614

Step 1: Find the prime factorization of 5593

5593 = 7 x 17 x 47

Step 2: Find the prime factorization of 5598

5598 = 2 x 3 x 3 x 311

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

LCM = 31309614 = 2 x 3 x 3 x 7 x 17 x 47 x 311

Step 4: Therefore, the least common multiple of 5593 and 5598 is 31309614.