Least Common Multiple of 5819 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 5819 and 5824 the smallest integer that is 33889856 that is divisible by both numbers.

Least Common Multiple (LCM) of 5819 and 5824 is 33889856.

LCM(5819,5824) = 33889856

LCM of 5819 and 5824

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

LCM of:
and

Least Common Multiple of 5819 and 5824

LCM of 5819 and 5824 is 33889856

Least common multiple can be found by multiplying the highest exponent prime factors of 5819 and 5824. First we will calculate the prime factors of 5819 and 5824.

Prime Factorization of 5819


11 5819
23 529
23 23
1

Prime factors of 5819 are 11,23. Prime factorization of 5819 in exponential form is:

5819 = 111×232

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 5819 and 5824.

LCM(5819,5824) = 26×71×111×131×232
LCM(5819,5824) = 33889856

Factors of 5819

List of positive integer factors of 5819 that divides 5819 without a remainder.

1, 11, 23, 253, 529, 5819

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 5819 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 5819 and 5824, than apply into the LCM equation.

GCF(5819,5824) = 1
LCM(5819,5824) = ( 5819 × 5824) / 1
LCM(5819,5824) = 33889856 / 1
LCM(5819,5824) = 33889856

Properties of LCM 5819 and 5824

(i) The LCM of 5824 and 5819 is associative

LCM of 5819 and 5824 = LCM of 5824 and 5819

Related Least Common Multiples of 5819

Related Least Common Multiples of 5824

Frequently Asked Questions on LCM of 5819 and 5824

1. What is the LCM of 5819 and 5824?

Answer: LCM of 5819 and 5824 is 33889856.

2. What are the Factors of 5819?

Answer: Factors of 5819 are 1, 11, 23, 253, 529, 5819. There are 6 integers that are factors of 5819. The greatest factor of 5819 is 5819.

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 5819 and 5824?

Answer:

Least Common Multiple of 5819 and 5824 = 33889856

Step 1: Find the prime factorization of 5819

5819 = 11 x 23 x 23

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 = 33889856 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11 x 13 x 23 x 23

Step 4: Therefore, the least common multiple of 5819 and 5824 is 33889856.