Given Numbers are 7034, 7040

We can find the LCM of 7034, 7040 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7034 and 7040

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

Multiples of 7040 =7040,14080,21120,28160,35200,42240,49280,56320,63360,70400,77440,84480,91520,98560,105600,112640,119680,

Now, get the least common multiple of 7034, 7040 which is 24759680

So, the LCM of 7034, 7040 is 24759680.

One method for determining the LCM of 7034 and 7040 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 7040's prime factorization:

Prime factors of 7040 are 2, 5,11.

7040 = 2⁷×5¹×11¹

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, 5,11

2⁷×5¹×11¹×3517¹ = 24759680

This shows that the LCM of 7034 and 7040 is 24759680.

The first step in determining the Least Common Multiple of 7034 and 7040 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7034 and 7040:

Lets look at the first ten multiples of these numbers, 7034 and 7040:

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

7040,14080,21120,28160,35200,42240,49280,56320,63360,119680 are the first ten multiples of 7040.

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 7040, for example, are 84408, 119578, and 112640. 24759680 is the least common multiple since it is the smallest.

7034 and 7040 have an LCM of 24759680.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7034 and 7040, than apply into the LCM equation.

GCF(7034,7040) = 2
LCM(7034,7040) = ( 7034 × 7040) / 2
LCM(7034,7040) = 49519360 / 2
LCM(7034,7040) = 24759680

1. What is the LCM of 7034 and 7040?

The LCM of 7034 and 7040 is 24759680.

2. How to find the lowest common multiple of 7034 and 7040?

To find the lowest common multiple of 7034 and 7040, we have to get the multip;es of both numbers and identify the least common multiple in them which is 24759680.

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 7040?

Answer: Factors of 7040 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040. There are 32 integers that are factors of 7040. The greatest factor of 7040 is 7040.

Answer:

Least Common Multiple of 7034 and 7040 = 24759680

Step 1: Find the prime factorization of 7034

7034 = 2 x 3517

Step 2: Find the prime factorization of 7040

7040 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11

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

LCM = 24759680 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 3517

Step 4: Therefore, the least common multiple of 7034 and 7040 is 24759680.