Given Numbers are 7027, 7034

We can find the LCM of 7027, 7034 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7027 and 7034

Multiples of 7027 =7027,14054,21081,28108,35135,42162,49189,56216,63243,70270,77297,84324,91351,98378,105405,112432,119459,

Multiples of 7034 =7034,14068,21102,28136,35170,42204,49238,56272,63306,70340,77374,84408,91442,98476,105510,112544,119578,

Now, get the least common multiple of 7027, 7034 which is 49427918

So, the LCM of 7027, 7034 is 49427918.

One method for determining the LCM of 7027 and 7034 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 7027's prime factorization:

Prime factors of 7027 are 7027.

7027 = 7027¹

And this is 7034's prime factorization:

Prime factors of 7034 are 2,3517.

7034 = 2¹×3517¹

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:7027, 2,3517

2¹×3517¹×7027¹ = 49427918

This shows that the LCM of 7027 and 7034 is 49427918.

The first step in determining the Least Common Multiple of 7027 and 7034 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7027 and 7034:

Lets look at the first ten multiples of these numbers, 7027 and 7034:

7027,14054,21081,28108,35135,42162,49189,56216,63243,119459 are the first ten multiples of 7027.

7034,14068,21102,28136,35170,42204,49238,56272,63306,119578 are the first ten multiples of 7034.

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 7027 and 7034, for example, are 84324, 119459, and 112544. 49427918 is the least common multiple since it is the smallest.

7027 and 7034 have an LCM of 49427918.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7027 and 7034, than apply into the LCM equation.

GCF(7027,7034) = 1
LCM(7027,7034) = ( 7027 × 7034) / 1
LCM(7027,7034) = 49427918 / 1
LCM(7027,7034) = 49427918

1. What is the LCM of 7027 and 7034?

The LCM of 7027 and 7034 is 49427918.

2. How to find the lowest common multiple of 7027 and 7034?

To find the lowest common multiple of 7027 and 7034, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49427918.

3. What are the Factors of 7027?

Answer: Factors of 7027 are 1, 7027. There are 2 integers that are factors of 7027. The greatest factor of 7027 is 7027.

4. What are the Factors of 7034?

Answer: Factors of 7034 are 1, 2, 3517, 7034. There are 4 integers that are factors of 7034. The greatest factor of 7034 is 7034.

Answer:

Least Common Multiple of 7027 and 7034 = 49427918

Step 1: Find the prime factorization of 7027

7027 = 7027

Step 2: Find the prime factorization of 7034

7034 = 2 x 3517

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

LCM = 49427918 = 2 x 3517 x 7027

Step 4: Therefore, the least common multiple of 7027 and 7034 is 49427918.