Given Numbers are 7007, 7013

We can find the LCM of 7007, 7013 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7007 and 7013

Multiples of 7007 =7007,14014,21021,28028,35035,42042,49049,56056,63063,70070,77077,84084,91091,98098,105105,112112,119119,

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

Now, get the least common multiple of 7007, 7013 which is 49140091

So, the LCM of 7007, 7013 is 49140091.

One method for determining the LCM of 7007 and 7013 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 7007's prime factorization:

Prime factors of 7007 are 7, 11,13.

7007 = 7²×11¹×13¹

And this is 7013's prime factorization:

Prime factors of 7013 are 7013.

7013 = 7013¹

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: 7, 11,13,7013

7²×11¹×13¹×7013¹ = 49140091

This shows that the LCM of 7007 and 7013 is 49140091.

The first step in determining the Least Common Multiple of 7007 and 7013 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7007 and 7013:

Lets look at the first ten multiples of these numbers, 7007 and 7013:

7007,14014,21021,28028,35035,42042,49049,56056,63063,119119 are the first ten multiples of 7007.

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

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 7007 and 7013, for example, are 84084, 119119, and 112208. 49140091 is the least common multiple since it is the smallest.

7007 and 7013 have an LCM of 49140091.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7007 and 7013, than apply into the LCM equation.

GCF(7007,7013) = 1
LCM(7007,7013) = ( 7007 × 7013) / 1
LCM(7007,7013) = 49140091 / 1
LCM(7007,7013) = 49140091

1. What is the LCM of 7007 and 7013?

The LCM of 7007 and 7013 is 49140091.

2. How to find the lowest common multiple of 7007 and 7013?

To find the lowest common multiple of 7007 and 7013, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49140091.

3. What are the Factors of 7007?

Answer: Factors of 7007 are 1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007. There are 12 integers that are factors of 7007. The greatest factor of 7007 is 7007.

4. 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.

Answer:

Least Common Multiple of 7007 and 7013 = 49140091

Step 1: Find the prime factorization of 7007

7007 = 7 x 7 x 11 x 13

Step 2: Find the prime factorization of 7013

7013 = 7013

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

LCM = 49140091 = 7 x 7 x 11 x 13 x 7013

Step 4: Therefore, the least common multiple of 7007 and 7013 is 49140091.