Least Common Multiple of 5820 and 5824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5820 and 5824 the smallest integer that is 8473920 that is divisible by both numbers.

Least Common Multiple (LCM) of 5820 and 5824 is 8473920.

LCM(5820,5824) = 8473920

LCM of 5820 and 5824

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

LCM of:
and

Least Common Multiple of 5820 and 5824

LCM of 5820 and 5824 is 8473920

Least common multiple can be found by multiplying the highest exponent prime factors of 5820 and 5824. First we will calculate the prime factors of 5820 and 5824.

Prime Factorization of 5820


2 5820
2 2910
3 1455
5 485
97 97
1

Prime factors of 5820 are 2, 3, 5,97. Prime factorization of 5820 in exponential form is:

5820 = 22×31×51×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5820 and 5824.

LCM(5820,5824) = 26×31×51×71×131×971
LCM(5820,5824) = 8473920

Factors of 5820

List of positive integer factors of 5820 that divides 5820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 97, 194, 291, 388, 485, 582, 970, 1164, 1455, 1940, 2910, 5820

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

Least Common Multiple of 5820 and 5824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5820 and 5824, than apply into the LCM equation.

GCF(5820,5824) = 4
LCM(5820,5824) = ( 5820 × 5824) / 4
LCM(5820,5824) = 33895680 / 4
LCM(5820,5824) = 8473920

Properties of LCM 5820 and 5824

(i) The LCM of 5824 and 5820 is associative

LCM of 5820 and 5824 = LCM of 5824 and 5820

Related Least Common Multiples of 5820

Related Least Common Multiples of 5824

Frequently Asked Questions on LCM of 5820 and 5824

1. What is the LCM of 5820 and 5824?

Answer: LCM of 5820 and 5824 is 8473920.

2. What are the Factors of 5820?

Answer: Factors of 5820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 97, 194, 291, 388, 485, 582, 970, 1164, 1455, 1940, 2910, 5820. There are 24 integers that are factors of 5820. The greatest factor of 5820 is 5820.

3. 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.

4. How to Find the LCM of 5820 and 5824?

Answer:

Least Common Multiple of 5820 and 5824 = 8473920

Step 1: Find the prime factorization of 5820

5820 = 2 x 2 x 3 x 5 x 97

Step 2: Find the prime factorization of 5824

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

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

LCM = 8473920 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 97

Step 4: Therefore, the least common multiple of 5820 and 5824 is 8473920.