Given Numbers are 7009, 7016

We can find the LCM of 7009, 7016 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7009 and 7016

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

Multiples of 7016 =7016,14032,21048,28064,35080,42096,49112,56128,63144,70160,77176,84192,91208,98224,105240,112256,119272,

Now, get the least common multiple of 7009, 7016 which is 49175144

So, the LCM of 7009, 7016 is 49175144.

One method for determining the LCM of 7009 and 7016 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 7009's prime factorization:

Prime factors of 7009 are 43,163.

7009 = 43¹×163¹

And this is 7016's prime factorization:

Prime factors of 7016 are 2,877.

7016 = 2³×877¹

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: 43,163, 2,877

2³×43¹×163¹×877¹ = 49175144

This shows that the LCM of 7009 and 7016 is 49175144.

The first step in determining the Least Common Multiple of 7009 and 7016 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7009 and 7016:

Lets look at the first ten multiples of these numbers, 7009 and 7016:

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

7016,14032,21048,28064,35080,42096,49112,56128,63144,119272 are the first ten multiples of 7016.

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 7009 and 7016, for example, are 84108, 119153, and 112256. 49175144 is the least common multiple since it is the smallest.

7009 and 7016 have an LCM of 49175144.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7009 and 7016, than apply into the LCM equation.

GCF(7009,7016) = 1
LCM(7009,7016) = ( 7009 × 7016) / 1
LCM(7009,7016) = 49175144 / 1
LCM(7009,7016) = 49175144

1. What is the LCM of 7009 and 7016?

The LCM of 7009 and 7016 is 49175144.

2. How to find the lowest common multiple of 7009 and 7016?

To find the lowest common multiple of 7009 and 7016, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49175144.

3. 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.

4. What are the Factors of 7016?

Answer: Factors of 7016 are 1, 2, 4, 8, 877, 1754, 3508, 7016. There are 8 integers that are factors of 7016. The greatest factor of 7016 is 7016.

Answer:

Least Common Multiple of 7009 and 7016 = 49175144

Step 1: Find the prime factorization of 7009

7009 = 43 x 163

Step 2: Find the prime factorization of 7016

7016 = 2 x 2 x 2 x 877

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

LCM = 49175144 = 2 x 2 x 2 x 43 x 163 x 877

Step 4: Therefore, the least common multiple of 7009 and 7016 is 49175144.