Least Common Multiple of 5593 and 5600

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 5600 the smallest integer that is 4474400 that is divisible by both numbers.

Least Common Multiple (LCM) of 5593 and 5600 is 4474400.

LCM(5593,5600) = 4474400

LCM of 5593 and 5600

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

LCM of:
and

Least Common Multiple of 5593 and 5600

LCM of 5593 and 5600 is 4474400

Least common multiple can be found by multiplying the highest exponent prime factors of 5593 and 5600. First we will calculate the prime factors of 5593 and 5600.

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 5600


2 5600
2 2800
2 1400
2 700
2 350
5 175
5 35
7 7
1

Prime factors of 5600 are 2, 5,7. Prime factorization of 5600 in exponential form is:

5600 = 25×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 5593 and 5600.

LCM(5593,5600) = 25×52×71×171×471
LCM(5593,5600) = 4474400

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 5600

List of positive integer factors of 5600 that divides 5600 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800, 5600

Least Common Multiple of 5593 and 5600 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 5600, than apply into the LCM equation.

GCF(5593,5600) = 7
LCM(5593,5600) = ( 5593 × 5600) / 7
LCM(5593,5600) = 31320800 / 7
LCM(5593,5600) = 4474400

Properties of LCM 5593 and 5600

(i) The LCM of 5600 and 5593 is associative

LCM of 5593 and 5600 = LCM of 5600 and 5593

Related Least Common Multiples of 5593

Related Least Common Multiples of 5600

Frequently Asked Questions on LCM of 5593 and 5600

1. What is the LCM of 5593 and 5600?

Answer: LCM of 5593 and 5600 is 4474400.

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 5600?

Answer: Factors of 5600 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800, 5600. There are 36 integers that are factors of 5600. The greatest factor of 5600 is 5600.

4. How to Find the LCM of 5593 and 5600?

Answer:

Least Common Multiple of 5593 and 5600 = 4474400

Step 1: Find the prime factorization of 5593

5593 = 7 x 17 x 47

Step 2: Find the prime factorization of 5600

5600 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7

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

LCM = 4474400 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 17 x 47

Step 4: Therefore, the least common multiple of 5593 and 5600 is 4474400.