Given Numbers are 7013, 7018

We can find the LCM of 7013, 7018 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7013 and 7018

Multiples of 7013 =7013,14026,21039,28052,35065,42078,49091,56104,63117,70130,77143,84156,91169,98182,105195,112208,119221,

Multiples of 7018 =7018,14036,21054,28072,35090,42108,49126,56144,63162,70180,77198,84216,91234,98252,105270,112288,119306,

Now, get the least common multiple of 7013, 7018 which is 49217234

So, the LCM of 7013, 7018 is 49217234.

One method for determining the LCM of 7013 and 7018 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 7013's prime factorization:

Prime factors of 7013 are 7013.

7013 = 7013¹

And this is 7018's prime factorization:

Prime factors of 7018 are 2, 11,29.

7018 = 2¹×11²×29¹

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:7013, 2, 11,29

2¹×11²×29¹×7013¹ = 49217234

This shows that the LCM of 7013 and 7018 is 49217234.

The first step in determining the Least Common Multiple of 7013 and 7018 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7013 and 7018:

Lets look at the first ten multiples of these numbers, 7013 and 7018:

7013,14026,21039,28052,35065,42078,49091,56104,63117,119221 are the first ten multiples of 7013.

7018,14036,21054,28072,35090,42108,49126,56144,63162,119306 are the first ten multiples of 7018.

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 7013 and 7018, for example, are 84156, 119221, and 112288. 49217234 is the least common multiple since it is the smallest.

7013 and 7018 have an LCM of 49217234.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7013 and 7018, than apply into the LCM equation.

GCF(7013,7018) = 1
LCM(7013,7018) = ( 7013 × 7018) / 1
LCM(7013,7018) = 49217234 / 1
LCM(7013,7018) = 49217234

1. What is the LCM of 7013 and 7018?

The LCM of 7013 and 7018 is 49217234.

2. How to find the lowest common multiple of 7013 and 7018?

To find the lowest common multiple of 7013 and 7018, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49217234.

3. What are the Factors of 7013?

Answer: Factors of 7013 are 1, 7013. There are 2 integers that are factors of 7013. The greatest factor of 7013 is 7013.

4. What are the Factors of 7018?

Answer: Factors of 7018 are 1, 2, 11, 22, 29, 58, 121, 242, 319, 638, 3509, 7018. There are 12 integers that are factors of 7018. The greatest factor of 7018 is 7018.

Answer:

Least Common Multiple of 7013 and 7018 = 49217234

Step 1: Find the prime factorization of 7013

7013 = 7013

Step 2: Find the prime factorization of 7018

7018 = 2 x 11 x 11 x 29

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

LCM = 49217234 = 2 x 11 x 11 x 29 x 7013

Step 4: Therefore, the least common multiple of 7013 and 7018 is 49217234.