Least Common Multiple of 5824 and 5829

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 5829 the smallest integer that is 33948096 that is divisible by both numbers.

Least Common Multiple (LCM) of 5824 and 5829 is 33948096.

LCM(5824,5829) = 33948096

LCM of 5824 and 5829

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

LCM of:
and

Least Common Multiple of 5824 and 5829

LCM of 5824 and 5829 is 33948096

Least common multiple can be found by multiplying the highest exponent prime factors of 5824 and 5829. First we will calculate the prime factors of 5824 and 5829.

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 5829


3 5829
29 1943
67 67
1

Prime factors of 5829 are 3, 29,67. Prime factorization of 5829 in exponential form is:

5829 = 31×291×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5824 and 5829.

LCM(5824,5829) = 26×31×71×131×291×671
LCM(5824,5829) = 33948096

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 5829

List of positive integer factors of 5829 that divides 5829 without a remainder.

1, 3, 29, 67, 87, 201, 1943, 5829

Least Common Multiple of 5824 and 5829 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 5829, than apply into the LCM equation.

GCF(5824,5829) = 1
LCM(5824,5829) = ( 5824 × 5829) / 1
LCM(5824,5829) = 33948096 / 1
LCM(5824,5829) = 33948096

Properties of LCM 5824 and 5829

(i) The LCM of 5829 and 5824 is associative

LCM of 5824 and 5829 = LCM of 5829 and 5824

Related Least Common Multiples of 5824

Related Least Common Multiples of 5829

Frequently Asked Questions on LCM of 5824 and 5829

1. What is the LCM of 5824 and 5829?

Answer: LCM of 5824 and 5829 is 33948096.

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 5829?

Answer: Factors of 5829 are 1, 3, 29, 67, 87, 201, 1943, 5829. There are 8 integers that are factors of 5829. The greatest factor of 5829 is 5829.

4. How to Find the LCM of 5824 and 5829?

Answer:

Least Common Multiple of 5824 and 5829 = 33948096

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 5829

5829 = 3 x 29 x 67

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

LCM = 33948096 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 29 x 67

Step 4: Therefore, the least common multiple of 5824 and 5829 is 33948096.