Least Common Multiple of 5817 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 5817 and 5824 the smallest integer that is 4839744 that is divisible by both numbers.

Least Common Multiple (LCM) of 5817 and 5824 is 4839744.

LCM(5817,5824) = 4839744

LCM of 5817 and 5824

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

LCM of:
and

Least Common Multiple of 5817 and 5824

LCM of 5817 and 5824 is 4839744

Least common multiple can be found by multiplying the highest exponent prime factors of 5817 and 5824. First we will calculate the prime factors of 5817 and 5824.

Prime Factorization of 5817


3 5817
7 1939
277 277
1

Prime factors of 5817 are 3, 7,277. Prime factorization of 5817 in exponential form is:

5817 = 31×71×2771

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 5817 and 5824.

LCM(5817,5824) = 26×31×71×131×2771
LCM(5817,5824) = 4839744

Factors of 5817

List of positive integer factors of 5817 that divides 5817 without a remainder.

1, 3, 7, 21, 277, 831, 1939, 5817

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 5817 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 5817 and 5824, than apply into the LCM equation.

GCF(5817,5824) = 7
LCM(5817,5824) = ( 5817 × 5824) / 7
LCM(5817,5824) = 33878208 / 7
LCM(5817,5824) = 4839744

Properties of LCM 5817 and 5824

(i) The LCM of 5824 and 5817 is associative

LCM of 5817 and 5824 = LCM of 5824 and 5817

Related Least Common Multiples of 5817

Related Least Common Multiples of 5824

Frequently Asked Questions on LCM of 5817 and 5824

1. What is the LCM of 5817 and 5824?

Answer: LCM of 5817 and 5824 is 4839744.

2. What are the Factors of 5817?

Answer: Factors of 5817 are 1, 3, 7, 21, 277, 831, 1939, 5817. There are 8 integers that are factors of 5817. The greatest factor of 5817 is 5817.

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 5817 and 5824?

Answer:

Least Common Multiple of 5817 and 5824 = 4839744

Step 1: Find the prime factorization of 5817

5817 = 3 x 7 x 277

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 = 4839744 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 277

Step 4: Therefore, the least common multiple of 5817 and 5824 is 4839744.