Least Common Multiple of 5824 and 5828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5824 and 5828 the smallest integer that is 8485568 that is divisible by both numbers.

Least Common Multiple (LCM) of 5824 and 5828 is 8485568.

LCM(5824,5828) = 8485568

LCM of 5824 and 5828

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

LCM of:
and

Least Common Multiple of 5824 and 5828

LCM of 5824 and 5828 is 8485568

Least common multiple can be found by multiplying the highest exponent prime factors of 5824 and 5828. First we will calculate the prime factors of 5824 and 5828.

Prime Factorization of 5824


2 5824
2 2912
2 1456
2 728
2 364
2 182
7 91
13 13
1

Prime factors of 5824 are 2, 7,13. Prime factorization of 5824 in exponential form is:

5824 = 26×71×131

Prime Factorization of 5828


2 5828
2 2914
31 1457
47 47
1

Prime factors of 5828 are 2, 31,47. Prime factorization of 5828 in exponential form is:

5828 = 22×311×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5824 and 5828.

LCM(5824,5828) = 26×71×131×311×471
LCM(5824,5828) = 8485568

Factors of 5824

List of positive integer factors of 5824 that divides 5824 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 64, 91, 104, 112, 182, 208, 224, 364, 416, 448, 728, 832, 1456, 2912, 5824

Factors of 5828

List of positive integer factors of 5828 that divides 5828 without a remainder.

1, 2, 4, 31, 47, 62, 94, 124, 188, 1457, 2914, 5828

Least Common Multiple of 5824 and 5828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5824 and 5828, than apply into the LCM equation.

GCF(5824,5828) = 4
LCM(5824,5828) = ( 5824 × 5828) / 4
LCM(5824,5828) = 33942272 / 4
LCM(5824,5828) = 8485568

Properties of LCM 5824 and 5828

(i) The LCM of 5828 and 5824 is associative

LCM of 5824 and 5828 = LCM of 5828 and 5824

Related Least Common Multiples of 5824

Related Least Common Multiples of 5828

Frequently Asked Questions on LCM of 5824 and 5828

1. What is the LCM of 5824 and 5828?

Answer: LCM of 5824 and 5828 is 8485568.

2. What are the Factors of 5824?

Answer: Factors of 5824 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 64, 91, 104, 112, 182, 208, 224, 364, 416, 448, 728, 832, 1456, 2912, 5824. There are 28 integers that are factors of 5824. The greatest factor of 5824 is 5824.

3. What are the Factors of 5828?

Answer: Factors of 5828 are 1, 2, 4, 31, 47, 62, 94, 124, 188, 1457, 2914, 5828. There are 12 integers that are factors of 5828. The greatest factor of 5828 is 5828.

4. How to Find the LCM of 5824 and 5828?

Answer:

Least Common Multiple of 5824 and 5828 = 8485568

Step 1: Find the prime factorization of 5824

5824 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 13

Step 2: Find the prime factorization of 5828

5828 = 2 x 2 x 31 x 47

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

LCM = 8485568 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 13 x 31 x 47

Step 4: Therefore, the least common multiple of 5824 and 5828 is 8485568.