Given Numbers are 7012, 7017

We can find the LCM of 7012, 7017 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7012 and 7017

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

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 7012, 7017 which is 49203204

So, the LCM of 7012, 7017 is 49203204.

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

Prime factors of 7012 are 2,1753.

7012 = 2²×1753¹

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: 2,1753, 3,2339

2²×3¹×1753¹×2339¹ = 49203204

This shows that the LCM of 7012 and 7017 is 49203204.

The first step in determining the Least Common Multiple of 7012 and 7017 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7012 and 7017:

Lets look at the first ten multiples of these numbers, 7012 and 7017:

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

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 7012 and 7017, for example, are 84144, 119204, and 112272. 49203204 is the least common multiple since it is the smallest.

7012 and 7017 have an LCM of 49203204.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7012 and 7017, than apply into the LCM equation.

GCF(7012,7017) = 1
LCM(7012,7017) = ( 7012 × 7017) / 1
LCM(7012,7017) = 49203204 / 1
LCM(7012,7017) = 49203204

1. What is the LCM of 7012 and 7017?

The LCM of 7012 and 7017 is 49203204.

2. How to find the lowest common multiple of 7012 and 7017?

To find the lowest common multiple of 7012 and 7017, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49203204.

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 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 7012 and 7017 = 49203204

Step 1: Find the prime factorization of 7012

7012 = 2 x 2 x 1753

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 = 49203204 = 2 x 2 x 3 x 1753 x 2339

Step 4: Therefore, the least common multiple of 7012 and 7017 is 49203204.