Given Numbers are 7013, 7017

We can find the LCM of 7013, 7017 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7013 and 7017

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

Multiples of 7017 =7017,14034,21051,28068,35085,42102,49119,56136,63153,70170,77187,84204,91221,98238,105255,112272,119289,

Now, get the least common multiple of 7013, 7017 which is 49210221

So, the LCM of 7013, 7017 is 49210221.

One method for determining the LCM of 7013 and 7017 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 7017's prime factorization:

Prime factors of 7017 are 3,2339.

7017 = 3¹×2339¹

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, 3,2339

3¹×2339¹×7013¹ = 49210221

This shows that the LCM of 7013 and 7017 is 49210221.

The first step in determining the Least Common Multiple of 7013 and 7017 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7013 and 7017:

Lets look at the first ten multiples of these numbers, 7013 and 7017:

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

7017,14034,21051,28068,35085,42102,49119,56136,63153,119289 are the first ten multiples of 7017.

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 7017, for example, are 84156, 119221, and 112272. 49210221 is the least common multiple since it is the smallest.

7013 and 7017 have an LCM of 49210221.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7013 and 7017, than apply into the LCM equation.

GCF(7013,7017) = 1
LCM(7013,7017) = ( 7013 × 7017) / 1
LCM(7013,7017) = 49210221 / 1
LCM(7013,7017) = 49210221

1. What is the LCM of 7013 and 7017?

The LCM of 7013 and 7017 is 49210221.

2. How to find the lowest common multiple of 7013 and 7017?

To find the lowest common multiple of 7013 and 7017, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49210221.

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 7017?

Answer: Factors of 7017 are 1, 3, 2339, 7017. There are 4 integers that are factors of 7017. The greatest factor of 7017 is 7017.

Answer:

Least Common Multiple of 7013 and 7017 = 49210221

Step 1: Find the prime factorization of 7013

7013 = 7013

Step 2: Find the prime factorization of 7017

7017 = 3 x 2339

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

LCM = 49210221 = 3 x 2339 x 7013

Step 4: Therefore, the least common multiple of 7013 and 7017 is 49210221.