Given Numbers are 7047, 7054

We can find the LCM of 7047, 7054 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7047 and 7054

Multiples of 7047 =7047,14094,21141,28188,35235,42282,49329,56376,63423,70470,77517,84564,91611,98658,105705,112752,119799,

Multiples of 7054 =7054,14108,21162,28216,35270,42324,49378,56432,63486,70540,77594,84648,91702,98756,105810,112864,119918,

Now, get the least common multiple of 7047, 7054 which is 49709538

So, the LCM of 7047, 7054 is 49709538.

One method for determining the LCM of 7047 and 7054 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 7047's prime factorization:

Prime factors of 7047 are 3,29.

7047 = 3⁵×29¹

And this is 7054's prime factorization:

Prime factors of 7054 are 2,3527.

7054 = 2¹×3527¹

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: 3,29, 2,3527

2¹×3⁵×29¹×3527¹ = 49709538

This shows that the LCM of 7047 and 7054 is 49709538.

The first step in determining the Least Common Multiple of 7047 and 7054 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7047 and 7054:

Lets look at the first ten multiples of these numbers, 7047 and 7054:

7047,14094,21141,28188,35235,42282,49329,56376,63423,119799 are the first ten multiples of 7047.

7054,14108,21162,28216,35270,42324,49378,56432,63486,119918 are the first ten multiples of 7054.

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 7047 and 7054, for example, are 84564, 119799, and 112864. 49709538 is the least common multiple since it is the smallest.

7047 and 7054 have an LCM of 49709538.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7047 and 7054, than apply into the LCM equation.

GCF(7047,7054) = 1
LCM(7047,7054) = ( 7047 × 7054) / 1
LCM(7047,7054) = 49709538 / 1
LCM(7047,7054) = 49709538

1. What is the LCM of 7047 and 7054?

The LCM of 7047 and 7054 is 49709538.

2. How to find the lowest common multiple of 7047 and 7054?

To find the lowest common multiple of 7047 and 7054, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49709538.

3. What are the Factors of 7047?

Answer: Factors of 7047 are 1, 3, 9, 27, 29, 81, 87, 243, 261, 783, 2349, 7047. There are 12 integers that are factors of 7047. The greatest factor of 7047 is 7047.

4. What are the Factors of 7054?

Answer: Factors of 7054 are 1, 2, 3527, 7054. There are 4 integers that are factors of 7054. The greatest factor of 7054 is 7054.

Answer:

Least Common Multiple of 7047 and 7054 = 49709538

Step 1: Find the prime factorization of 7047

7047 = 3 x 3 x 3 x 3 x 3 x 29

Step 2: Find the prime factorization of 7054

7054 = 2 x 3527

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

LCM = 49709538 = 2 x 3 x 3 x 3 x 3 x 3 x 29 x 3527

Step 4: Therefore, the least common multiple of 7047 and 7054 is 49709538.