Given Numbers are 7012, 7018

We can find the LCM of 7012, 7018 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7012 and 7018

Multiples of 7012 =7012,14024,21036,28048,35060,42072,49084,56096,63108,70120,77132,84144,91156,98168,105180,112192,119204,

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 7012, 7018 which is 24605108

So, the LCM of 7012, 7018 is 24605108.

One method for determining the LCM of 7012 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 7012's prime factorization:

Prime factors of 7012 are 2,1753.

7012 = 2²×1753¹

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: 2,1753, 11,29

2²×11²×29¹×1753¹ = 24605108

This shows that the LCM of 7012 and 7018 is 24605108.

The first step in determining the Least Common Multiple of 7012 and 7018 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7012 and 7018:

Lets look at the first ten multiples of these numbers, 7012 and 7018:

7012,14024,21036,28048,35060,42072,49084,56096,63108,119204 are the first ten multiples of 7012.

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 7012 and 7018, for example, are 84144, 119204, and 112288. 24605108 is the least common multiple since it is the smallest.

7012 and 7018 have an LCM of 24605108.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7012 and 7018, than apply into the LCM equation.

GCF(7012,7018) = 2
LCM(7012,7018) = ( 7012 × 7018) / 2
LCM(7012,7018) = 49210216 / 2
LCM(7012,7018) = 24605108

1. What is the LCM of 7012 and 7018?

The LCM of 7012 and 7018 is 24605108.

2. How to find the lowest common multiple of 7012 and 7018?

To find the lowest common multiple of 7012 and 7018, we have to get the multip;es of both numbers and identify the least common multiple in them which is 24605108.

3. What are the Factors of 7012?

Answer: Factors of 7012 are 1, 2, 4, 1753, 3506, 7012. There are 6 integers that are factors of 7012. The greatest factor of 7012 is 7012.

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 7012 and 7018 = 24605108

Step 1: Find the prime factorization of 7012

7012 = 2 x 2 x 1753

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 = 24605108 = 2 x 2 x 11 x 11 x 29 x 1753

Step 4: Therefore, the least common multiple of 7012 and 7018 is 24605108.