Given Numbers are 7032, 7038

We can find the LCM of 7032, 7038 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7032 and 7038

Multiples of 7032 =7032,14064,21096,28128,35160,42192,49224,56256,63288,70320,77352,84384,91416,98448,105480,112512,119544,

Multiples of 7038 =7038,14076,21114,28152,35190,42228,49266,56304,63342,70380,77418,84456,91494,98532,105570,112608,119646,

Now, get the least common multiple of 7032, 7038 which is 8248536

So, the LCM of 7032, 7038 is 8248536.

One method for determining the LCM of 7032 and 7038 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 7032's prime factorization:

Prime factors of 7032 are 2, 3,293.

7032 = 2³×3¹×293¹

And this is 7038's prime factorization:

Prime factors of 7038 are 2, 3, 17,23.

7038 = 2¹×3²×17¹×23¹

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, 3,293, 17,23

2³×3²×17¹×23¹×293¹ = 8248536

This shows that the LCM of 7032 and 7038 is 8248536.

The first step in determining the Least Common Multiple of 7032 and 7038 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7032 and 7038:

Lets look at the first ten multiples of these numbers, 7032 and 7038:

7032,14064,21096,28128,35160,42192,49224,56256,63288,119544 are the first ten multiples of 7032.

7038,14076,21114,28152,35190,42228,49266,56304,63342,119646 are the first ten multiples of 7038.

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 7032 and 7038, for example, are 84384, 119544, and 112608. 8248536 is the least common multiple since it is the smallest.

7032 and 7038 have an LCM of 8248536.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7032 and 7038, than apply into the LCM equation.

GCF(7032,7038) = 6
LCM(7032,7038) = ( 7032 × 7038) / 6
LCM(7032,7038) = 49491216 / 6
LCM(7032,7038) = 8248536

1. What is the LCM of 7032 and 7038?

The LCM of 7032 and 7038 is 8248536.

2. How to find the lowest common multiple of 7032 and 7038?

To find the lowest common multiple of 7032 and 7038, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8248536.

3. What are the Factors of 7032?

Answer: Factors of 7032 are 1, 2, 3, 4, 6, 8, 12, 24, 293, 586, 879, 1172, 1758, 2344, 3516, 7032. There are 16 integers that are factors of 7032. The greatest factor of 7032 is 7032.

4. What are the Factors of 7038?

Answer: Factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038. There are 24 integers that are factors of 7038. The greatest factor of 7038 is 7038.

Answer:

Least Common Multiple of 7032 and 7038 = 8248536

Step 1: Find the prime factorization of 7032

7032 = 2 x 2 x 2 x 3 x 293

Step 2: Find the prime factorization of 7038

7038 = 2 x 3 x 3 x 17 x 23

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

LCM = 8248536 = 2 x 2 x 2 x 3 x 3 x 17 x 23 x 293

Step 4: Therefore, the least common multiple of 7032 and 7038 is 8248536.