Least Common Multiple of 5818 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 5818 and 5824 the smallest integer that is 16942016 that is divisible by both numbers.

Least Common Multiple (LCM) of 5818 and 5824 is 16942016.

LCM(5818,5824) = 16942016

LCM of 5818 and 5824

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

LCM of:
and

Least Common Multiple of 5818 and 5824

LCM of 5818 and 5824 is 16942016

Least common multiple can be found by multiplying the highest exponent prime factors of 5818 and 5824. First we will calculate the prime factors of 5818 and 5824.

Prime Factorization of 5818


2 5818
2909 2909
1

Prime factors of 5818 are 2,2909. Prime factorization of 5818 in exponential form is:

5818 = 21×29091

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 5818 and 5824.

LCM(5818,5824) = 26×71×131×29091
LCM(5818,5824) = 16942016

Factors of 5818

List of positive integer factors of 5818 that divides 5818 without a remainder.

1, 2, 2909, 5818

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 5818 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 5818 and 5824, than apply into the LCM equation.

GCF(5818,5824) = 2
LCM(5818,5824) = ( 5818 × 5824) / 2
LCM(5818,5824) = 33884032 / 2
LCM(5818,5824) = 16942016

Properties of LCM 5818 and 5824

(i) The LCM of 5824 and 5818 is associative

LCM of 5818 and 5824 = LCM of 5824 and 5818

Related Least Common Multiples of 5818

Related Least Common Multiples of 5824

Frequently Asked Questions on LCM of 5818 and 5824

1. What is the LCM of 5818 and 5824?

Answer: LCM of 5818 and 5824 is 16942016.

2. What are the Factors of 5818?

Answer: Factors of 5818 are 1, 2, 2909, 5818. There are 4 integers that are factors of 5818. The greatest factor of 5818 is 5818.

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 5818 and 5824?

Answer:

Least Common Multiple of 5818 and 5824 = 16942016

Step 1: Find the prime factorization of 5818

5818 = 2 x 2909

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 = 16942016 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 13 x 2909

Step 4: Therefore, the least common multiple of 5818 and 5824 is 16942016.