Least Common Multiple of 5788 and 5793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5788 and 5793 the smallest integer that is 33529884 that is divisible by both numbers.

Least Common Multiple (LCM) of 5788 and 5793 is 33529884.

LCM(5788,5793) = 33529884

LCM of 5788 and 5793

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

LCM of:
and

Least Common Multiple of 5788 and 5793

LCM of 5788 and 5793 is 33529884

Least common multiple can be found by multiplying the highest exponent prime factors of 5788 and 5793. First we will calculate the prime factors of 5788 and 5793.

Prime Factorization of 5788


2 5788
2 2894
1447 1447
1

Prime factors of 5788 are 2,1447. Prime factorization of 5788 in exponential form is:

5788 = 22×14471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5788 and 5793.

LCM(5788,5793) = 22×31×14471×19311
LCM(5788,5793) = 33529884

Factors of 5788

List of positive integer factors of 5788 that divides 5788 without a remainder.

1, 2, 4, 1447, 2894, 5788

Factors of 5793

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

1, 3, 1931, 5793

Least Common Multiple of 5788 and 5793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5788 and 5793, than apply into the LCM equation.

GCF(5788,5793) = 1
LCM(5788,5793) = ( 5788 × 5793) / 1
LCM(5788,5793) = 33529884 / 1
LCM(5788,5793) = 33529884

Properties of LCM 5788 and 5793

(i) The LCM of 5793 and 5788 is associative

LCM of 5788 and 5793 = LCM of 5793 and 5788

Related Least Common Multiples of 5788

Related Least Common Multiples of 5793

Frequently Asked Questions on LCM of 5788 and 5793

1. What is the LCM of 5788 and 5793?

Answer: LCM of 5788 and 5793 is 33529884.

2. What are the Factors of 5788?

Answer: Factors of 5788 are 1, 2, 4, 1447, 2894, 5788. There are 6 integers that are factors of 5788. The greatest factor of 5788 is 5788.

3. 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.

4. How to Find the LCM of 5788 and 5793?

Answer:

Least Common Multiple of 5788 and 5793 = 33529884

Step 1: Find the prime factorization of 5788

5788 = 2 x 2 x 1447

Step 2: Find the prime factorization of 5793

5793 = 3 x 1931

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

LCM = 33529884 = 2 x 2 x 3 x 1447 x 1931

Step 4: Therefore, the least common multiple of 5788 and 5793 is 33529884.