Given Numbers are 7013, 7020

We can find the LCM of 7013, 7020 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7013 and 7020

Multiples of 7013 =7013,14026,21039,28052,35065,42078,49091,56104,63117,70130,77143,84156,91169,98182,105195,112208,119221,

Multiples of 7020 =7020,14040,21060,28080,35100,42120,49140,56160,63180,70200,77220,84240,91260,98280,105300,112320,119340,

Now, get the least common multiple of 7013, 7020 which is 49231260

So, the LCM of 7013, 7020 is 49231260.

One method for determining the LCM of 7013 and 7020 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 7013's prime factorization:

Prime factors of 7013 are 7013.

7013 = 7013¹

And this is 7020's prime factorization:

Prime factors of 7020 are 2, 3, 5,13.

7020 = 2²×3³×5¹×13¹

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:7013, 2, 3, 5,13

2²×3³×5¹×13¹×7013¹ = 49231260

This shows that the LCM of 7013 and 7020 is 49231260.

The first step in determining the Least Common Multiple of 7013 and 7020 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7013 and 7020:

Lets look at the first ten multiples of these numbers, 7013 and 7020:

7013,14026,21039,28052,35065,42078,49091,56104,63117,119221 are the first ten multiples of 7013.

7020,14040,21060,28080,35100,42120,49140,56160,63180,119340 are the first ten multiples of 7020.

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 7013 and 7020, for example, are 84156, 119221, and 112320. 49231260 is the least common multiple since it is the smallest.

7013 and 7020 have an LCM of 49231260.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7013 and 7020, than apply into the LCM equation.

GCF(7013,7020) = 1
LCM(7013,7020) = ( 7013 × 7020) / 1
LCM(7013,7020) = 49231260 / 1
LCM(7013,7020) = 49231260

1. What is the LCM of 7013 and 7020?

The LCM of 7013 and 7020 is 49231260.

2. How to find the lowest common multiple of 7013 and 7020?

To find the lowest common multiple of 7013 and 7020, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49231260.

3. What are the Factors of 7013?

Answer: Factors of 7013 are 1, 7013. There are 2 integers that are factors of 7013. The greatest factor of 7013 is 7013.

4. What are the Factors of 7020?

Answer: Factors of 7020 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020. There are 48 integers that are factors of 7020. The greatest factor of 7020 is 7020.

Answer:

Least Common Multiple of 7013 and 7020 = 49231260

Step 1: Find the prime factorization of 7013

7013 = 7013

Step 2: Find the prime factorization of 7020

7020 = 2 x 2 x 3 x 3 x 3 x 5 x 13

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

LCM = 49231260 = 2 x 2 x 3 x 3 x 3 x 5 x 13 x 7013

Step 4: Therefore, the least common multiple of 7013 and 7020 is 49231260.