Least Common Multiple of 5810 and 5814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5810 and 5814 the smallest integer that is 16889670 that is divisible by both numbers.

Least Common Multiple (LCM) of 5810 and 5814 is 16889670.

LCM(5810,5814) = 16889670

LCM of 5810 and 5814

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

LCM of:
and

Least Common Multiple of 5810 and 5814

LCM of 5810 and 5814 is 16889670

Least common multiple can be found by multiplying the highest exponent prime factors of 5810 and 5814. First we will calculate the prime factors of 5810 and 5814.

Prime Factorization of 5810


2 5810
5 2905
7 581
83 83
1

Prime factors of 5810 are 2, 5, 7,83. Prime factorization of 5810 in exponential form is:

5810 = 21×51×71×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5810 and 5814.

LCM(5810,5814) = 21×32×51×71×171×191×831
LCM(5810,5814) = 16889670

Factors of 5810

List of positive integer factors of 5810 that divides 5810 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 83, 166, 415, 581, 830, 1162, 2905, 5810

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

Least Common Multiple of 5810 and 5814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5810 and 5814, than apply into the LCM equation.

GCF(5810,5814) = 2
LCM(5810,5814) = ( 5810 × 5814) / 2
LCM(5810,5814) = 33779340 / 2
LCM(5810,5814) = 16889670

Properties of LCM 5810 and 5814

(i) The LCM of 5814 and 5810 is associative

LCM of 5810 and 5814 = LCM of 5814 and 5810

Related Least Common Multiples of 5810

Related Least Common Multiples of 5814

Frequently Asked Questions on LCM of 5810 and 5814

1. What is the LCM of 5810 and 5814?

Answer: LCM of 5810 and 5814 is 16889670.

2. What are the Factors of 5810?

Answer: Factors of 5810 are 1, 2, 5, 7, 10, 14, 35, 70, 83, 166, 415, 581, 830, 1162, 2905, 5810. There are 16 integers that are factors of 5810. The greatest factor of 5810 is 5810.

3. 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.

4. How to Find the LCM of 5810 and 5814?

Answer:

Least Common Multiple of 5810 and 5814 = 16889670

Step 1: Find the prime factorization of 5810

5810 = 2 x 5 x 7 x 83

Step 2: Find the prime factorization of 5814

5814 = 2 x 3 x 3 x 17 x 19

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

LCM = 16889670 = 2 x 3 x 3 x 5 x 7 x 17 x 19 x 83

Step 4: Therefore, the least common multiple of 5810 and 5814 is 16889670.