Given Numbers are 7019, 7024

We can find the LCM of 7019, 7024 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7019 and 7024

Multiples of 7019 =7019,14038,21057,28076,35095,42114,49133,56152,63171,70190,77209,84228,91247,98266,105285,112304,119323,

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 7019, 7024 which is 49301456

So, the LCM of 7019, 7024 is 49301456.

One method for determining the LCM of 7019 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 7019's prime factorization:

Prime factors of 7019 are 7019.

7019 = 7019¹

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:7019, 2,439

2⁴×439¹×7019¹ = 49301456

This shows that the LCM of 7019 and 7024 is 49301456.

The first step in determining the Least Common Multiple of 7019 and 7024 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7019 and 7024:

Lets look at the first ten multiples of these numbers, 7019 and 7024:

7019,14038,21057,28076,35095,42114,49133,56152,63171,119323 are the first ten multiples of 7019.

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 7019 and 7024, for example, are 84228, 119323, and 112384. 49301456 is the least common multiple since it is the smallest.

7019 and 7024 have an LCM of 49301456.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7019 and 7024, than apply into the LCM equation.

GCF(7019,7024) = 1
LCM(7019,7024) = ( 7019 × 7024) / 1
LCM(7019,7024) = 49301456 / 1
LCM(7019,7024) = 49301456

1. What is the LCM of 7019 and 7024?

The LCM of 7019 and 7024 is 49301456.

2. How to find the lowest common multiple of 7019 and 7024?

To find the lowest common multiple of 7019 and 7024, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49301456.

3. What are the Factors of 7019?

Answer: Factors of 7019 are 1, 7019. There are 2 integers that are factors of 7019. The greatest factor of 7019 is 7019.

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 7019 and 7024 = 49301456

Step 1: Find the prime factorization of 7019

7019 = 7019

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 = 49301456 = 2 x 2 x 2 x 2 x 439 x 7019

Step 4: Therefore, the least common multiple of 7019 and 7024 is 49301456.