Given Numbers are 7034, 7039

We can find the LCM of 7034, 7039 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7034 and 7039

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

Multiples of 7039 =7039,14078,21117,28156,35195,42234,49273,56312,63351,70390,77429,84468,91507,98546,105585,112624,119663,

Now, get the least common multiple of 7034, 7039 which is 49512326

So, the LCM of 7034, 7039 is 49512326.

One method for determining the LCM of 7034 and 7039 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 7039's prime factorization:

Prime factors of 7039 are 7039.

7039 = 7039¹

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: 2,3517,7039

2¹×3517¹×7039¹ = 49512326

This shows that the LCM of 7034 and 7039 is 49512326.

The first step in determining the Least Common Multiple of 7034 and 7039 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7034 and 7039:

Lets look at the first ten multiples of these numbers, 7034 and 7039:

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

7039,14078,21117,28156,35195,42234,49273,56312,63351,119663 are the first ten multiples of 7039.

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 7039, for example, are 84408, 119578, and 112624. 49512326 is the least common multiple since it is the smallest.

7034 and 7039 have an LCM of 49512326.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7034 and 7039, than apply into the LCM equation.

GCF(7034,7039) = 1
LCM(7034,7039) = ( 7034 × 7039) / 1
LCM(7034,7039) = 49512326 / 1
LCM(7034,7039) = 49512326

1. What is the LCM of 7034 and 7039?

The LCM of 7034 and 7039 is 49512326.

2. How to find the lowest common multiple of 7034 and 7039?

To find the lowest common multiple of 7034 and 7039, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49512326.

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 7039?

Answer: Factors of 7039 are 1, 7039. There are 2 integers that are factors of 7039. The greatest factor of 7039 is 7039.

Answer:

Least Common Multiple of 7034 and 7039 = 49512326

Step 1: Find the prime factorization of 7034

7034 = 2 x 3517

Step 2: Find the prime factorization of 7039

7039 = 7039

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

LCM = 49512326 = 2 x 3517 x 7039

Step 4: Therefore, the least common multiple of 7034 and 7039 is 49512326.