Least Common Multiple of 5793 and 5798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5793 and 5798 the smallest integer that is 33587814 that is divisible by both numbers.

Least Common Multiple (LCM) of 5793 and 5798 is 33587814.

LCM(5793,5798) = 33587814

LCM of 5793 and 5798

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

LCM of:
and

Least Common Multiple of 5793 and 5798

LCM of 5793 and 5798 is 33587814

Least common multiple can be found by multiplying the highest exponent prime factors of 5793 and 5798. First we will calculate the prime factors of 5793 and 5798.

Prime Factorization of 5793


3 5793
1931 1931
1

Prime factors of 5793 are 3,1931. Prime factorization of 5793 in exponential form is:

5793 = 31×19311

Prime Factorization of 5798


2 5798
13 2899
223 223
1

Prime factors of 5798 are 2, 13,223. Prime factorization of 5798 in exponential form is:

5798 = 21×131×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 5793 and 5798.

LCM(5793,5798) = 21×31×131×2231×19311
LCM(5793,5798) = 33587814

Factors of 5793

List of positive integer factors of 5793 that divides 5793 without a remainder.

1, 3, 1931, 5793

Factors of 5798

List of positive integer factors of 5798 that divides 5798 without a remainder.

1, 2, 13, 26, 223, 446, 2899, 5798

Least Common Multiple of 5793 and 5798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5793 and 5798, than apply into the LCM equation.

GCF(5793,5798) = 1
LCM(5793,5798) = ( 5793 × 5798) / 1
LCM(5793,5798) = 33587814 / 1
LCM(5793,5798) = 33587814

Properties of LCM 5793 and 5798

(i) The LCM of 5798 and 5793 is associative

LCM of 5793 and 5798 = LCM of 5798 and 5793

Related Least Common Multiples of 5793

Related Least Common Multiples of 5798

Frequently Asked Questions on LCM of 5793 and 5798

1. What is the LCM of 5793 and 5798?

Answer: LCM of 5793 and 5798 is 33587814.

2. What are the Factors of 5793?

Answer: Factors of 5793 are 1, 3, 1931, 5793. There are 4 integers that are factors of 5793. The greatest factor of 5793 is 5793.

3. What are the Factors of 5798?

Answer: Factors of 5798 are 1, 2, 13, 26, 223, 446, 2899, 5798. There are 8 integers that are factors of 5798. The greatest factor of 5798 is 5798.

4. How to Find the LCM of 5793 and 5798?

Answer:

Least Common Multiple of 5793 and 5798 = 33587814

Step 1: Find the prime factorization of 5793

5793 = 3 x 1931

Step 2: Find the prime factorization of 5798

5798 = 2 x 13 x 223

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

LCM = 33587814 = 2 x 3 x 13 x 223 x 1931

Step 4: Therefore, the least common multiple of 5793 and 5798 is 33587814.