Given Numbers are 7001, 7009

We can find the LCM of 7001, 7009 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7001 and 7009

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

Multiples of 7009 =7009,14018,21027,28036,35045,42054,49063,56072,63081,70090,77099,84108,91117,98126,105135,112144,119153,

Now, get the least common multiple of 7001, 7009 which is 49070009

So, the LCM of 7001, 7009 is 49070009.

One method for determining the LCM of 7001 and 7009 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 7009's prime factorization:

Prime factors of 7009 are 43,163.

7009 = 43¹×163¹

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, 43,163

43¹×163¹×7001¹ = 49070009

This shows that the LCM of 7001 and 7009 is 49070009.

The first step in determining the Least Common Multiple of 7001 and 7009 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7001 and 7009:

Lets look at the first ten multiples of these numbers, 7001 and 7009:

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

7009,14018,21027,28036,35045,42054,49063,56072,63081,119153 are the first ten multiples of 7009.

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 7009, for example, are 84012, 119017, and 112144. 49070009 is the least common multiple since it is the smallest.

7001 and 7009 have an LCM of 49070009.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7001 and 7009, than apply into the LCM equation.

GCF(7001,7009) = 1
LCM(7001,7009) = ( 7001 × 7009) / 1
LCM(7001,7009) = 49070009 / 1
LCM(7001,7009) = 49070009

1. What is the LCM of 7001 and 7009?

The LCM of 7001 and 7009 is 49070009.

2. How to find the lowest common multiple of 7001 and 7009?

To find the lowest common multiple of 7001 and 7009, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49070009.

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 7009?

Answer: Factors of 7009 are 1, 43, 163, 7009. There are 4 integers that are factors of 7009. The greatest factor of 7009 is 7009.

Answer:

Least Common Multiple of 7001 and 7009 = 49070009

Step 1: Find the prime factorization of 7001

7001 = 7001

Step 2: Find the prime factorization of 7009

7009 = 43 x 163

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

LCM = 49070009 = 43 x 163 x 7001

Step 4: Therefore, the least common multiple of 7001 and 7009 is 49070009.