Least Common Multiple of 5808 and 5813

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 5813 the smallest integer that is 33761904 that is divisible by both numbers.

Least Common Multiple (LCM) of 5808 and 5813 is 33761904.

LCM(5808,5813) = 33761904

LCM of 5808 and 5813

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

LCM of:
and

Least Common Multiple of 5808 and 5813

LCM of 5808 and 5813 is 33761904

Least common multiple can be found by multiplying the highest exponent prime factors of 5808 and 5813. First we will calculate the prime factors of 5808 and 5813.

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 5813


5813 5813
1

Prime factors of 5813 are 5813. Prime factorization of 5813 in exponential form is:

5813 = 58131

Now multiplying the highest exponent prime factors to calculate the LCM of 5808 and 5813.

LCM(5808,5813) = 24×31×112×58131
LCM(5808,5813) = 33761904

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 5813

List of positive integer factors of 5813 that divides 5813 without a remainder.

1, 5813

Least Common Multiple of 5808 and 5813 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 5813, than apply into the LCM equation.

GCF(5808,5813) = 1
LCM(5808,5813) = ( 5808 × 5813) / 1
LCM(5808,5813) = 33761904 / 1
LCM(5808,5813) = 33761904

Properties of LCM 5808 and 5813

(i) The LCM of 5813 and 5808 is associative

LCM of 5808 and 5813 = LCM of 5813 and 5808

Related Least Common Multiples of 5808

Related Least Common Multiples of 5813

Frequently Asked Questions on LCM of 5808 and 5813

1. What is the LCM of 5808 and 5813?

Answer: LCM of 5808 and 5813 is 33761904.

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 5813?

Answer: Factors of 5813 are 1, 5813. There are 2 integers that are factors of 5813. The greatest factor of 5813 is 5813.

4. How to Find the LCM of 5808 and 5813?

Answer:

Least Common Multiple of 5808 and 5813 = 33761904

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 5813

5813 = 5813

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

LCM = 33761904 = 2 x 2 x 2 x 2 x 3 x 11 x 11 x 5813

Step 4: Therefore, the least common multiple of 5808 and 5813 is 33761904.