Given Numbers are 7013, 7021

We can find the LCM of 7013, 7021 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7013 and 7021

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

Multiples of 7021 =7021,14042,21063,28084,35105,42126,49147,56168,63189,70210,77231,84252,91273,98294,105315,112336,119357,

Now, get the least common multiple of 7013, 7021 which is 49238273

So, the LCM of 7013, 7021 is 49238273.

One method for determining the LCM of 7013 and 7021 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 7021's prime factorization:

Prime factors of 7021 are 7, 17,59.

7021 = 7¹×17¹×59¹

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, 7, 17,59

7¹×17¹×59¹×7013¹ = 49238273

This shows that the LCM of 7013 and 7021 is 49238273.

The first step in determining the Least Common Multiple of 7013 and 7021 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7013 and 7021:

Lets look at the first ten multiples of these numbers, 7013 and 7021:

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

7021,14042,21063,28084,35105,42126,49147,56168,63189,119357 are the first ten multiples of 7021.

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 7021, for example, are 84156, 119221, and 112336. 49238273 is the least common multiple since it is the smallest.

7013 and 7021 have an LCM of 49238273.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7013 and 7021, than apply into the LCM equation.

GCF(7013,7021) = 1
LCM(7013,7021) = ( 7013 × 7021) / 1
LCM(7013,7021) = 49238273 / 1
LCM(7013,7021) = 49238273

1. What is the LCM of 7013 and 7021?

The LCM of 7013 and 7021 is 49238273.

2. How to find the lowest common multiple of 7013 and 7021?

To find the lowest common multiple of 7013 and 7021, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49238273.

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 7021?

Answer: Factors of 7021 are 1, 7, 17, 59, 119, 413, 1003, 7021. There are 8 integers that are factors of 7021. The greatest factor of 7021 is 7021.

Answer:

Least Common Multiple of 7013 and 7021 = 49238273

Step 1: Find the prime factorization of 7013

7013 = 7013

Step 2: Find the prime factorization of 7021

7021 = 7 x 17 x 59

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

LCM = 49238273 = 7 x 17 x 59 x 7013

Step 4: Therefore, the least common multiple of 7013 and 7021 is 49238273.