Given Numbers are 7001, 7007

We can find the LCM of 7001, 7007 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7001 and 7007

Multiples of 7001 =7001,14002,21003,28004,35005,42006,49007,56008,63009,70010,77011,84012,91013,98014,105015,112016,119017,

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

Now, get the least common multiple of 7001, 7007 which is 49056007

So, the LCM of 7001, 7007 is 49056007.

One method for determining the LCM of 7001 and 7007 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 7001's prime factorization:

Prime factors of 7001 are 7001.

7001 = 7001¹

And this is 7007's prime factorization:

Prime factors of 7007 are 7, 11,13.

7007 = 7²×11¹×13¹

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:7001, 7, 11,13

7²×11¹×13¹×7001¹ = 49056007

This shows that the LCM of 7001 and 7007 is 49056007.

The first step in determining the Least Common Multiple of 7001 and 7007 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7001 and 7007:

Lets look at the first ten multiples of these numbers, 7001 and 7007:

7001,14002,21003,28004,35005,42006,49007,56008,63009,119017 are the first ten multiples of 7001.

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

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 7001 and 7007, for example, are 84012, 119017, and 112112. 49056007 is the least common multiple since it is the smallest.

7001 and 7007 have an LCM of 49056007.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7001 and 7007, than apply into the LCM equation.

GCF(7001,7007) = 1
LCM(7001,7007) = ( 7001 × 7007) / 1
LCM(7001,7007) = 49056007 / 1
LCM(7001,7007) = 49056007

1. What is the LCM of 7001 and 7007?

The LCM of 7001 and 7007 is 49056007.

2. How to find the lowest common multiple of 7001 and 7007?

To find the lowest common multiple of 7001 and 7007, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49056007.

3. What are the Factors of 7001?

Answer: Factors of 7001 are 1, 7001. There are 2 integers that are factors of 7001. The greatest factor of 7001 is 7001.

4. 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.

Answer:

Least Common Multiple of 7001 and 7007 = 49056007

Step 1: Find the prime factorization of 7001

7001 = 7001

Step 2: Find the prime factorization of 7007

7007 = 7 x 7 x 11 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 = 49056007 = 7 x 7 x 11 x 13 x 7001

Step 4: Therefore, the least common multiple of 7001 and 7007 is 49056007.