Given Numbers are 7034, 7041

We can find the LCM of 7034, 7041 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7034 and 7041

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

Multiples of 7041 =7041,14082,21123,28164,35205,42246,49287,56328,63369,70410,77451,84492,91533,98574,105615,112656,119697,

Now, get the least common multiple of 7034, 7041 which is 49526394

So, the LCM of 7034, 7041 is 49526394.

One method for determining the LCM of 7034 and 7041 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 7034's prime factorization:

Prime factors of 7034 are 2,3517.

7034 = 2¹×3517¹

And this is 7041's prime factorization:

Prime factors of 7041 are 3,2347.

7041 = 3¹×2347¹

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: 2,3517, 3,2347

2¹×3¹×2347¹×3517¹ = 49526394

This shows that the LCM of 7034 and 7041 is 49526394.

The first step in determining the Least Common Multiple of 7034 and 7041 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7034 and 7041:

Lets look at the first ten multiples of these numbers, 7034 and 7041:

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

7041,14082,21123,28164,35205,42246,49287,56328,63369,119697 are the first ten multiples of 7041.

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 7034 and 7041, for example, are 84408, 119578, and 112656. 49526394 is the least common multiple since it is the smallest.

7034 and 7041 have an LCM of 49526394.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7034 and 7041, than apply into the LCM equation.

GCF(7034,7041) = 1
LCM(7034,7041) = ( 7034 × 7041) / 1
LCM(7034,7041) = 49526394 / 1
LCM(7034,7041) = 49526394

1. What is the LCM of 7034 and 7041?

The LCM of 7034 and 7041 is 49526394.

2. How to find the lowest common multiple of 7034 and 7041?

To find the lowest common multiple of 7034 and 7041, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49526394.

3. 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.

4. What are the Factors of 7041?

Answer: Factors of 7041 are 1, 3, 2347, 7041. There are 4 integers that are factors of 7041. The greatest factor of 7041 is 7041.

Answer:

Least Common Multiple of 7034 and 7041 = 49526394

Step 1: Find the prime factorization of 7034

7034 = 2 x 3517

Step 2: Find the prime factorization of 7041

7041 = 3 x 2347

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

LCM = 49526394 = 2 x 3 x 2347 x 3517

Step 4: Therefore, the least common multiple of 7034 and 7041 is 49526394.