Least Common Multiple of 5788 and 5794

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 5794 the smallest integer that is 16767836 that is divisible by both numbers.

Least Common Multiple (LCM) of 5788 and 5794 is 16767836.

LCM(5788,5794) = 16767836

LCM of 5788 and 5794

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

LCM of:
and

Least Common Multiple of 5788 and 5794

LCM of 5788 and 5794 is 16767836

Least common multiple can be found by multiplying the highest exponent prime factors of 5788 and 5794. First we will calculate the prime factors of 5788 and 5794.

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 5794


2 5794
2897 2897
1

Prime factors of 5794 are 2,2897. Prime factorization of 5794 in exponential form is:

5794 = 21×28971

Now multiplying the highest exponent prime factors to calculate the LCM of 5788 and 5794.

LCM(5788,5794) = 22×14471×28971
LCM(5788,5794) = 16767836

Factors of 5788

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

1, 2, 4, 1447, 2894, 5788

Factors of 5794

List of positive integer factors of 5794 that divides 5794 without a remainder.

1, 2, 2897, 5794

Least Common Multiple of 5788 and 5794 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 5794, than apply into the LCM equation.

GCF(5788,5794) = 2
LCM(5788,5794) = ( 5788 × 5794) / 2
LCM(5788,5794) = 33535672 / 2
LCM(5788,5794) = 16767836

Properties of LCM 5788 and 5794

(i) The LCM of 5794 and 5788 is associative

LCM of 5788 and 5794 = LCM of 5794 and 5788

Related Least Common Multiples of 5788

Related Least Common Multiples of 5794

Frequently Asked Questions on LCM of 5788 and 5794

1. What is the LCM of 5788 and 5794?

Answer: LCM of 5788 and 5794 is 16767836.

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 5794?

Answer: Factors of 5794 are 1, 2, 2897, 5794. There are 4 integers that are factors of 5794. The greatest factor of 5794 is 5794.

4. How to Find the LCM of 5788 and 5794?

Answer:

Least Common Multiple of 5788 and 5794 = 16767836

Step 1: Find the prime factorization of 5788

5788 = 2 x 2 x 1447

Step 2: Find the prime factorization of 5794

5794 = 2 x 2897

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

LCM = 16767836 = 2 x 2 x 1447 x 2897

Step 4: Therefore, the least common multiple of 5788 and 5794 is 16767836.