Given Numbers are 8, 13

We can find the LCM of 8, 13 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 8 and 13

Multiples of 8 =8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,

Multiples of 13 =13,26,39,52,65,78,91,104,117,130,143,156,169,182,195,208,221,

Now, get the least common multiple of 8, 13 which is 104

So, the LCM of 8, 13 is 104.

One method for determining the LCM of 8 and 13 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 8's prime factorization:

Prime factors of 8 are 2.

8 = 2³

And this is 13's prime factorization:

Prime factors of 13 are 13.

13 = 13¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered:2,13

2³×13¹ = 104

This shows that the LCM of 8 and 13 is 104.

The first step in determining the Least Common Multiple of 8 and 13 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 8 and 13:

Lets look at the first ten multiples of these numbers, 8 and 13:

8,16,24,32,40,48,56,64,72,136 are the first ten multiples of 8.

13,26,39,52,65,78,91,104,117,221 are the first ten multiples of 13.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 8 and 13, for example, are 96, 136, and 208. 104 is the least common multiple since it is the smallest.

8 and 13 have an LCM of 104.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8 and 13, than apply into the LCM equation.

GCF(8,13) = 1
LCM(8,13) = ( 8 × 13) / 1
LCM(8,13) = 104 / 1
LCM(8,13) = 104

1. What is the LCM of 8 and 13?

The LCM of 8 and 13 is 104.

2. How to find the lowest common multiple of 8 and 13?

To find the lowest common multiple of 8 and 13, we have to get the multip;es of both numbers and identify the least common multiple in them which is 104.

3. What are the Factors of 8?

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

4. What are the Factors of 13?

Answer: Factors of 13 are 1, 13. There are 2 integers that are factors of 13. The greatest factor of 13 is 13.

Answer:

Least Common Multiple of 8 and 13 = 104

Step 1: Find the prime factorization of 8

8 = 2 x 2 x 2

Step 2: Find the prime factorization of 13

13 = 13

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

LCM = 104 = 2 x 2 x 2 x 13

Step 4: Therefore, the least common multiple of 8 and 13 is 104.