Least Common Multiple of 5808 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 5808 and 5814 the smallest integer that is 5627952 that is divisible by both numbers.

Least Common Multiple (LCM) of 5808 and 5814 is 5627952.

LCM(5808,5814) = 5627952

LCM of 5808 and 5814

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

LCM of:
and

Least Common Multiple of 5808 and 5814

LCM of 5808 and 5814 is 5627952

Least common multiple can be found by multiplying the highest exponent prime factors of 5808 and 5814. First we will calculate the prime factors of 5808 and 5814.

Prime Factorization of 5808


2 5808
2 2904
2 1452
2 726
3 363
11 121
11 11
1

Prime factors of 5808 are 2, 3,11. Prime factorization of 5808 in exponential form is:

5808 = 24×31×112

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 5808 and 5814.

LCM(5808,5814) = 24×32×112×171×191
LCM(5808,5814) = 5627952

Factors of 5808

List of positive integer factors of 5808 that divides 5808 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 121, 132, 176, 242, 264, 363, 484, 528, 726, 968, 1452, 1936, 2904, 5808

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 5808 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 5808 and 5814, than apply into the LCM equation.

GCF(5808,5814) = 6
LCM(5808,5814) = ( 5808 × 5814) / 6
LCM(5808,5814) = 33767712 / 6
LCM(5808,5814) = 5627952

Properties of LCM 5808 and 5814

(i) The LCM of 5814 and 5808 is associative

LCM of 5808 and 5814 = LCM of 5814 and 5808

Related Least Common Multiples of 5808

Related Least Common Multiples of 5814

Frequently Asked Questions on LCM of 5808 and 5814

1. What is the LCM of 5808 and 5814?

Answer: LCM of 5808 and 5814 is 5627952.

2. What are the Factors of 5808?

Answer: Factors of 5808 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 121, 132, 176, 242, 264, 363, 484, 528, 726, 968, 1452, 1936, 2904, 5808. There are 30 integers that are factors of 5808. The greatest factor of 5808 is 5808.

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 5808 and 5814?

Answer:

Least Common Multiple of 5808 and 5814 = 5627952

Step 1: Find the prime factorization of 5808

5808 = 2 x 2 x 2 x 2 x 3 x 11 x 11

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 = 5627952 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11 x 17 x 19

Step 4: Therefore, the least common multiple of 5808 and 5814 is 5627952.