Least Common Multiple of 5794 and 5802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5794 and 5802 the smallest integer that is 16808394 that is divisible by both numbers.

Least Common Multiple (LCM) of 5794 and 5802 is 16808394.

LCM(5794,5802) = 16808394

LCM of 5794 and 5802

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

LCM of:
and

Least Common Multiple of 5794 and 5802

LCM of 5794 and 5802 is 16808394

Least common multiple can be found by multiplying the highest exponent prime factors of 5794 and 5802. First we will calculate the prime factors of 5794 and 5802.

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

Prime Factorization of 5802


2 5802
3 2901
967 967
1

Prime factors of 5802 are 2, 3,967. Prime factorization of 5802 in exponential form is:

5802 = 21×31×9671

Now multiplying the highest exponent prime factors to calculate the LCM of 5794 and 5802.

LCM(5794,5802) = 21×31×9671×28971
LCM(5794,5802) = 16808394

Factors of 5794

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

1, 2, 2897, 5794

Factors of 5802

List of positive integer factors of 5802 that divides 5802 without a remainder.

1, 2, 3, 6, 967, 1934, 2901, 5802

Least Common Multiple of 5794 and 5802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5794 and 5802, than apply into the LCM equation.

GCF(5794,5802) = 2
LCM(5794,5802) = ( 5794 × 5802) / 2
LCM(5794,5802) = 33616788 / 2
LCM(5794,5802) = 16808394

Properties of LCM 5794 and 5802

(i) The LCM of 5802 and 5794 is associative

LCM of 5794 and 5802 = LCM of 5802 and 5794

Related Least Common Multiples of 5794

Related Least Common Multiples of 5802

Frequently Asked Questions on LCM of 5794 and 5802

1. What is the LCM of 5794 and 5802?

Answer: LCM of 5794 and 5802 is 16808394.

2. 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.

3. What are the Factors of 5802?

Answer: Factors of 5802 are 1, 2, 3, 6, 967, 1934, 2901, 5802. There are 8 integers that are factors of 5802. The greatest factor of 5802 is 5802.

4. How to Find the LCM of 5794 and 5802?

Answer:

Least Common Multiple of 5794 and 5802 = 16808394

Step 1: Find the prime factorization of 5794

5794 = 2 x 2897

Step 2: Find the prime factorization of 5802

5802 = 2 x 3 x 967

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

LCM = 16808394 = 2 x 3 x 967 x 2897

Step 4: Therefore, the least common multiple of 5794 and 5802 is 16808394.