Least Common Multiple of 5814 and 5816

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 5816 the smallest integer that is 16907112 that is divisible by both numbers.

Least Common Multiple (LCM) of 5814 and 5816 is 16907112.

LCM(5814,5816) = 16907112

LCM of 5814 and 5816

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

LCM of:
and

Least Common Multiple of 5814 and 5816

LCM of 5814 and 5816 is 16907112

Least common multiple can be found by multiplying the highest exponent prime factors of 5814 and 5816. First we will calculate the prime factors of 5814 and 5816.

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 5816


2 5816
2 2908
2 1454
727 727
1

Prime factors of 5816 are 2,727. Prime factorization of 5816 in exponential form is:

5816 = 23×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 5814 and 5816.

LCM(5814,5816) = 23×32×171×191×7271
LCM(5814,5816) = 16907112

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 5816

List of positive integer factors of 5816 that divides 5816 without a remainder.

1, 2, 4, 8, 727, 1454, 2908, 5816

Least Common Multiple of 5814 and 5816 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 5816, than apply into the LCM equation.

GCF(5814,5816) = 2
LCM(5814,5816) = ( 5814 × 5816) / 2
LCM(5814,5816) = 33814224 / 2
LCM(5814,5816) = 16907112

Properties of LCM 5814 and 5816

(i) The LCM of 5816 and 5814 is associative

LCM of 5814 and 5816 = LCM of 5816 and 5814

Related Least Common Multiples of 5814

Related Least Common Multiples of 5816

Frequently Asked Questions on LCM of 5814 and 5816

1. What is the LCM of 5814 and 5816?

Answer: LCM of 5814 and 5816 is 16907112.

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 5816?

Answer: Factors of 5816 are 1, 2, 4, 8, 727, 1454, 2908, 5816. There are 8 integers that are factors of 5816. The greatest factor of 5816 is 5816.

4. How to Find the LCM of 5814 and 5816?

Answer:

Least Common Multiple of 5814 and 5816 = 16907112

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 5816

5816 = 2 x 2 x 2 x 727

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

LCM = 16907112 = 2 x 2 x 2 x 3 x 3 x 17 x 19 x 727

Step 4: Therefore, the least common multiple of 5814 and 5816 is 16907112.