Given Numbers are 7017, 7024

We can find the LCM of 7017, 7024 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7017 and 7024

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

Multiples of 7024 =7024,14048,21072,28096,35120,42144,49168,56192,63216,70240,77264,84288,91312,98336,105360,112384,119408,

Now, get the least common multiple of 7017, 7024 which is 49287408

So, the LCM of 7017, 7024 is 49287408.

One method for determining the LCM of 7017 and 7024 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 7017's prime factorization:

Prime factors of 7017 are 3,2339.

7017 = 3¹×2339¹

And this is 7024's prime factorization:

Prime factors of 7024 are 2,439.

7024 = 2⁴×439¹

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: 3,2339, 2,439

2⁴×3¹×439¹×2339¹ = 49287408

This shows that the LCM of 7017 and 7024 is 49287408.

The first step in determining the Least Common Multiple of 7017 and 7024 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7017 and 7024:

Lets look at the first ten multiples of these numbers, 7017 and 7024:

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

7024,14048,21072,28096,35120,42144,49168,56192,63216,119408 are the first ten multiples of 7024.

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 7017 and 7024, for example, are 84204, 119289, and 112384. 49287408 is the least common multiple since it is the smallest.

7017 and 7024 have an LCM of 49287408.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7017 and 7024, than apply into the LCM equation.

GCF(7017,7024) = 1
LCM(7017,7024) = ( 7017 × 7024) / 1
LCM(7017,7024) = 49287408 / 1
LCM(7017,7024) = 49287408

1. What is the LCM of 7017 and 7024?

The LCM of 7017 and 7024 is 49287408.

2. How to find the lowest common multiple of 7017 and 7024?

To find the lowest common multiple of 7017 and 7024, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49287408.

3. 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.

4. What are the Factors of 7024?

Answer: Factors of 7024 are 1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024. There are 10 integers that are factors of 7024. The greatest factor of 7024 is 7024.

Answer:

Least Common Multiple of 7017 and 7024 = 49287408

Step 1: Find the prime factorization of 7017

7017 = 3 x 2339

Step 2: Find the prime factorization of 7024

7024 = 2 x 2 x 2 x 2 x 439

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

LCM = 49287408 = 2 x 2 x 2 x 2 x 3 x 439 x 2339

Step 4: Therefore, the least common multiple of 7017 and 7024 is 49287408.