Least Common Multiple of 5814 and 5817

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 5817 the smallest integer that is 11273346 that is divisible by both numbers.

Least Common Multiple (LCM) of 5814 and 5817 is 11273346.

LCM(5814,5817) = 11273346

LCM of 5814 and 5817

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

LCM of:
and

Least Common Multiple of 5814 and 5817

LCM of 5814 and 5817 is 11273346

Least common multiple can be found by multiplying the highest exponent prime factors of 5814 and 5817. First we will calculate the prime factors of 5814 and 5817.

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 5817


3 5817
7 1939
277 277
1

Prime factors of 5817 are 3, 7,277. Prime factorization of 5817 in exponential form is:

5817 = 31×71×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 5814 and 5817.

LCM(5814,5817) = 21×32×71×171×191×2771
LCM(5814,5817) = 11273346

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 5817

List of positive integer factors of 5817 that divides 5817 without a remainder.

1, 3, 7, 21, 277, 831, 1939, 5817

Least Common Multiple of 5814 and 5817 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 5817, than apply into the LCM equation.

GCF(5814,5817) = 3
LCM(5814,5817) = ( 5814 × 5817) / 3
LCM(5814,5817) = 33820038 / 3
LCM(5814,5817) = 11273346

Properties of LCM 5814 and 5817

(i) The LCM of 5817 and 5814 is associative

LCM of 5814 and 5817 = LCM of 5817 and 5814

Related Least Common Multiples of 5814

Related Least Common Multiples of 5817

Frequently Asked Questions on LCM of 5814 and 5817

1. What is the LCM of 5814 and 5817?

Answer: LCM of 5814 and 5817 is 11273346.

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 5817?

Answer: Factors of 5817 are 1, 3, 7, 21, 277, 831, 1939, 5817. There are 8 integers that are factors of 5817. The greatest factor of 5817 is 5817.

4. How to Find the LCM of 5814 and 5817?

Answer:

Least Common Multiple of 5814 and 5817 = 11273346

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 5817

5817 = 3 x 7 x 277

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

LCM = 11273346 = 2 x 3 x 3 x 7 x 17 x 19 x 277

Step 4: Therefore, the least common multiple of 5814 and 5817 is 11273346.