Least Common Multiple of 5816 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 5816 and 5824 the smallest integer that is 4234048 that is divisible by both numbers.

Least Common Multiple (LCM) of 5816 and 5824 is 4234048.

LCM(5816,5824) = 4234048

LCM of 5816 and 5824

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

LCM of:
and

Least Common Multiple of 5816 and 5824

LCM of 5816 and 5824 is 4234048

Least common multiple can be found by multiplying the highest exponent prime factors of 5816 and 5824. First we will calculate the prime factors of 5816 and 5824.

Prime Factorization of 5816


2 5816
2 2908
2 1454
727 727
1

Prime factors of 5816 are 2,727. Prime factorization of 5816 in exponential form is:

5816 = 23×7271

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 5816 and 5824.

LCM(5816,5824) = 26×71×131×7271
LCM(5816,5824) = 4234048

Factors of 5816

List of positive integer factors of 5816 that divides 5816 without a remainder.

1, 2, 4, 8, 727, 1454, 2908, 5816

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 5816 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 5816 and 5824, than apply into the LCM equation.

GCF(5816,5824) = 8
LCM(5816,5824) = ( 5816 × 5824) / 8
LCM(5816,5824) = 33872384 / 8
LCM(5816,5824) = 4234048

Properties of LCM 5816 and 5824

(i) The LCM of 5824 and 5816 is associative

LCM of 5816 and 5824 = LCM of 5824 and 5816

Related Least Common Multiples of 5816

Related Least Common Multiples of 5824

Frequently Asked Questions on LCM of 5816 and 5824

1. What is the LCM of 5816 and 5824?

Answer: LCM of 5816 and 5824 is 4234048.

2. What are the Factors of 5816?

Answer: Factors of 5816 are 1, 2, 4, 8, 727, 1454, 2908, 5816. There are 8 integers that are factors of 5816. The greatest factor of 5816 is 5816.

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 5816 and 5824?

Answer:

Least Common Multiple of 5816 and 5824 = 4234048

Step 1: Find the prime factorization of 5816

5816 = 2 x 2 x 2 x 727

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 = 4234048 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 13 x 727

Step 4: Therefore, the least common multiple of 5816 and 5824 is 4234048.