Least Common Multiple of 5822 and 5828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5822 and 5828 the smallest integer that is 16965308 that is divisible by both numbers.

Least Common Multiple (LCM) of 5822 and 5828 is 16965308.

LCM(5822,5828) = 16965308

LCM of 5822 and 5828

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

LCM of:
and

Least Common Multiple of 5822 and 5828

LCM of 5822 and 5828 is 16965308

Least common multiple can be found by multiplying the highest exponent prime factors of 5822 and 5828. First we will calculate the prime factors of 5822 and 5828.

Prime Factorization of 5822


2 5822
41 2911
71 71
1

Prime factors of 5822 are 2, 41,71. Prime factorization of 5822 in exponential form is:

5822 = 21×411×711

Prime Factorization of 5828


2 5828
2 2914
31 1457
47 47
1

Prime factors of 5828 are 2, 31,47. Prime factorization of 5828 in exponential form is:

5828 = 22×311×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5822 and 5828.

LCM(5822,5828) = 22×311×411×471×711
LCM(5822,5828) = 16965308

Factors of 5822

List of positive integer factors of 5822 that divides 5822 without a remainder.

1, 2, 41, 71, 82, 142, 2911, 5822

Factors of 5828

List of positive integer factors of 5828 that divides 5828 without a remainder.

1, 2, 4, 31, 47, 62, 94, 124, 188, 1457, 2914, 5828

Least Common Multiple of 5822 and 5828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5822 and 5828, than apply into the LCM equation.

GCF(5822,5828) = 2
LCM(5822,5828) = ( 5822 × 5828) / 2
LCM(5822,5828) = 33930616 / 2
LCM(5822,5828) = 16965308

Properties of LCM 5822 and 5828

(i) The LCM of 5828 and 5822 is associative

LCM of 5822 and 5828 = LCM of 5828 and 5822

Related Least Common Multiples of 5822

Related Least Common Multiples of 5828

Frequently Asked Questions on LCM of 5822 and 5828

1. What is the LCM of 5822 and 5828?

Answer: LCM of 5822 and 5828 is 16965308.

2. What are the Factors of 5822?

Answer: Factors of 5822 are 1, 2, 41, 71, 82, 142, 2911, 5822. There are 8 integers that are factors of 5822. The greatest factor of 5822 is 5822.

3. What are the Factors of 5828?

Answer: Factors of 5828 are 1, 2, 4, 31, 47, 62, 94, 124, 188, 1457, 2914, 5828. There are 12 integers that are factors of 5828. The greatest factor of 5828 is 5828.

4. How to Find the LCM of 5822 and 5828?

Answer:

Least Common Multiple of 5822 and 5828 = 16965308

Step 1: Find the prime factorization of 5822

5822 = 2 x 41 x 71

Step 2: Find the prime factorization of 5828

5828 = 2 x 2 x 31 x 47

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

LCM = 16965308 = 2 x 2 x 31 x 41 x 47 x 71

Step 4: Therefore, the least common multiple of 5822 and 5828 is 16965308.