Least Common Multiple of 5814 and 5822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5814 and 5822 the smallest integer that is 16924554 that is divisible by both numbers.

Least Common Multiple (LCM) of 5814 and 5822 is 16924554.

LCM(5814,5822) = 16924554

LCM of 5814 and 5822

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

LCM of:
and

Least Common Multiple of 5814 and 5822

LCM of 5814 and 5822 is 16924554

Least common multiple can be found by multiplying the highest exponent prime factors of 5814 and 5822. First we will calculate the prime factors of 5814 and 5822.

Prime Factorization of 5814


2 5814
3 2907
3 969
17 323
19 19
1

Prime factors of 5814 are 2, 3, 17,19. Prime factorization of 5814 in exponential form is:

5814 = 21×32×171×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5814 and 5822.

LCM(5814,5822) = 21×32×171×191×411×711
LCM(5814,5822) = 16924554

Factors of 5814

List of positive integer factors of 5814 that divides 5814 without a remainder.

1, 2, 3, 6, 9, 17, 18, 19, 34, 38, 51, 57, 102, 114, 153, 171, 306, 323, 342, 646, 969, 1938, 2907, 5814

Factors of 5822

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

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

Least Common Multiple of 5814 and 5822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5814 and 5822, than apply into the LCM equation.

GCF(5814,5822) = 2
LCM(5814,5822) = ( 5814 × 5822) / 2
LCM(5814,5822) = 33849108 / 2
LCM(5814,5822) = 16924554

Properties of LCM 5814 and 5822

(i) The LCM of 5822 and 5814 is associative

LCM of 5814 and 5822 = LCM of 5822 and 5814

Related Least Common Multiples of 5814

Related Least Common Multiples of 5822

Frequently Asked Questions on LCM of 5814 and 5822

1. What is the LCM of 5814 and 5822?

Answer: LCM of 5814 and 5822 is 16924554.

2. What are the Factors of 5814?

Answer: Factors of 5814 are 1, 2, 3, 6, 9, 17, 18, 19, 34, 38, 51, 57, 102, 114, 153, 171, 306, 323, 342, 646, 969, 1938, 2907, 5814. There are 24 integers that are factors of 5814. The greatest factor of 5814 is 5814.

3. 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.

4. How to Find the LCM of 5814 and 5822?

Answer:

Least Common Multiple of 5814 and 5822 = 16924554

Step 1: Find the prime factorization of 5814

5814 = 2 x 3 x 3 x 17 x 19

Step 2: Find the prime factorization of 5822

5822 = 2 x 41 x 71

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

LCM = 16924554 = 2 x 3 x 3 x 17 x 19 x 41 x 71

Step 4: Therefore, the least common multiple of 5814 and 5822 is 16924554.