Given Numbers are 7032, 7036

We can find the LCM of 7032, 7036 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7032 and 7036

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

Multiples of 7036 =7036,14072,21108,28144,35180,42216,49252,56288,63324,70360,77396,84432,91468,98504,105540,112576,119612,

Now, get the least common multiple of 7032, 7036 which is 12369288

So, the LCM of 7032, 7036 is 12369288.

One method for determining the LCM of 7032 and 7036 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 7036's prime factorization:

Prime factors of 7036 are 2,1759.

7036 = 2²×1759¹

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, 3,293,1759

2³×3¹×293¹×1759¹ = 12369288

This shows that the LCM of 7032 and 7036 is 12369288.

The first step in determining the Least Common Multiple of 7032 and 7036 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7032 and 7036:

Lets look at the first ten multiples of these numbers, 7032 and 7036:

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

7036,14072,21108,28144,35180,42216,49252,56288,63324,119612 are the first ten multiples of 7036.

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 7036, for example, are 84384, 119544, and 112576. 12369288 is the least common multiple since it is the smallest.

7032 and 7036 have an LCM of 12369288.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7032 and 7036, than apply into the LCM equation.

GCF(7032,7036) = 4
LCM(7032,7036) = ( 7032 × 7036) / 4
LCM(7032,7036) = 49477152 / 4
LCM(7032,7036) = 12369288

1. What is the LCM of 7032 and 7036?

The LCM of 7032 and 7036 is 12369288.

2. How to find the lowest common multiple of 7032 and 7036?

To find the lowest common multiple of 7032 and 7036, we have to get the multip;es of both numbers and identify the least common multiple in them which is 12369288.

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 7036?

Answer: Factors of 7036 are 1, 2, 4, 1759, 3518, 7036. There are 6 integers that are factors of 7036. The greatest factor of 7036 is 7036.

Answer:

Least Common Multiple of 7032 and 7036 = 12369288

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 7036

7036 = 2 x 2 x 1759

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

LCM = 12369288 = 2 x 2 x 2 x 3 x 293 x 1759

Step 4: Therefore, the least common multiple of 7032 and 7036 is 12369288.