Given Numbers are 7012, 7016

We can find the LCM of 7012, 7016 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7012 and 7016

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

Multiples of 7016 =7016,14032,21048,28064,35080,42096,49112,56128,63144,70160,77176,84192,91208,98224,105240,112256,119272,

Now, get the least common multiple of 7012, 7016 which is 12299048

So, the LCM of 7012, 7016 is 12299048.

One method for determining the LCM of 7012 and 7016 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 7016's prime factorization:

Prime factors of 7016 are 2,877.

7016 = 2³×877¹

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: 2,1753,877

2³×877¹×1753¹ = 12299048

This shows that the LCM of 7012 and 7016 is 12299048.

The first step in determining the Least Common Multiple of 7012 and 7016 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7012 and 7016:

Lets look at the first ten multiples of these numbers, 7012 and 7016:

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

7016,14032,21048,28064,35080,42096,49112,56128,63144,119272 are the first ten multiples of 7016.

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 7016, for example, are 84144, 119204, and 112256. 12299048 is the least common multiple since it is the smallest.

7012 and 7016 have an LCM of 12299048.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7012 and 7016, than apply into the LCM equation.

GCF(7012,7016) = 4
LCM(7012,7016) = ( 7012 × 7016) / 4
LCM(7012,7016) = 49196192 / 4
LCM(7012,7016) = 12299048

1. What is the LCM of 7012 and 7016?

The LCM of 7012 and 7016 is 12299048.

2. How to find the lowest common multiple of 7012 and 7016?

To find the lowest common multiple of 7012 and 7016, we have to get the multip;es of both numbers and identify the least common multiple in them which is 12299048.

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 7016?

Answer: Factors of 7016 are 1, 2, 4, 8, 877, 1754, 3508, 7016. There are 8 integers that are factors of 7016. The greatest factor of 7016 is 7016.

Answer:

Least Common Multiple of 7012 and 7016 = 12299048

Step 1: Find the prime factorization of 7012

7012 = 2 x 2 x 1753

Step 2: Find the prime factorization of 7016

7016 = 2 x 2 x 2 x 877

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

LCM = 12299048 = 2 x 2 x 2 x 877 x 1753

Step 4: Therefore, the least common multiple of 7012 and 7016 is 12299048.