Least Common Multiple of 5824 and 5830

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 5830 the smallest integer that is 16976960 that is divisible by both numbers.

Least Common Multiple (LCM) of 5824 and 5830 is 16976960.

LCM(5824,5830) = 16976960

LCM of 5824 and 5830

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

LCM of:
and

Least Common Multiple of 5824 and 5830

LCM of 5824 and 5830 is 16976960

Least common multiple can be found by multiplying the highest exponent prime factors of 5824 and 5830. First we will calculate the prime factors of 5824 and 5830.

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 5830


2 5830
5 2915
11 583
53 53
1

Prime factors of 5830 are 2, 5, 11,53. Prime factorization of 5830 in exponential form is:

5830 = 21×51×111×531

Now multiplying the highest exponent prime factors to calculate the LCM of 5824 and 5830.

LCM(5824,5830) = 26×51×71×111×131×531
LCM(5824,5830) = 16976960

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 5830

List of positive integer factors of 5830 that divides 5830 without a remainder.

1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 265, 530, 583, 1166, 2915, 5830

Least Common Multiple of 5824 and 5830 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 5830, than apply into the LCM equation.

GCF(5824,5830) = 2
LCM(5824,5830) = ( 5824 × 5830) / 2
LCM(5824,5830) = 33953920 / 2
LCM(5824,5830) = 16976960

Properties of LCM 5824 and 5830

(i) The LCM of 5830 and 5824 is associative

LCM of 5824 and 5830 = LCM of 5830 and 5824

Related Least Common Multiples of 5824

Related Least Common Multiples of 5830

Frequently Asked Questions on LCM of 5824 and 5830

1. What is the LCM of 5824 and 5830?

Answer: LCM of 5824 and 5830 is 16976960.

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 5830?

Answer: Factors of 5830 are 1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 265, 530, 583, 1166, 2915, 5830. There are 16 integers that are factors of 5830. The greatest factor of 5830 is 5830.

4. How to Find the LCM of 5824 and 5830?

Answer:

Least Common Multiple of 5824 and 5830 = 16976960

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 5830

5830 = 2 x 5 x 11 x 53

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

LCM = 16976960 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 11 x 13 x 53

Step 4: Therefore, the least common multiple of 5824 and 5830 is 16976960.