Given Numbers are 7030, 7034

We can find the LCM of 7030, 7034 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7030 and 7034

Multiples of 7030 =7030,14060,21090,28120,35150,42180,49210,56240,63270,70300,77330,84360,91390,98420,105450,112480,119510,

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 7030, 7034 which is 24724510

So, the LCM of 7030, 7034 is 24724510.

One method for determining the LCM of 7030 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 7030's prime factorization:

Prime factors of 7030 are 2, 5, 19,37.

7030 = 2¹×5¹×19¹×37¹

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: 2, 5, 19,37,3517

2¹×5¹×19¹×37¹×3517¹ = 24724510

This shows that the LCM of 7030 and 7034 is 24724510.

The first step in determining the Least Common Multiple of 7030 and 7034 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7030 and 7034:

Lets look at the first ten multiples of these numbers, 7030 and 7034:

7030,14060,21090,28120,35150,42180,49210,56240,63270,119510 are the first ten multiples of 7030.

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 7030 and 7034, for example, are 84360, 119510, and 112544. 24724510 is the least common multiple since it is the smallest.

7030 and 7034 have an LCM of 24724510.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7030 and 7034, than apply into the LCM equation.

GCF(7030,7034) = 2
LCM(7030,7034) = ( 7030 × 7034) / 2
LCM(7030,7034) = 49449020 / 2
LCM(7030,7034) = 24724510

1. What is the LCM of 7030 and 7034?

The LCM of 7030 and 7034 is 24724510.

2. How to find the lowest common multiple of 7030 and 7034?

To find the lowest common multiple of 7030 and 7034, we have to get the multip;es of both numbers and identify the least common multiple in them which is 24724510.

3. What are the Factors of 7030?

Answer: Factors of 7030 are 1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030. There are 16 integers that are factors of 7030. The greatest factor of 7030 is 7030.

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 7030 and 7034 = 24724510

Step 1: Find the prime factorization of 7030

7030 = 2 x 5 x 19 x 37

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 = 24724510 = 2 x 5 x 19 x 37 x 3517

Step 4: Therefore, the least common multiple of 7030 and 7034 is 24724510.