Given Numbers are 7032, 7040

We can find the LCM of 7032, 7040 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7032 and 7040

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

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 7032, 7040 which is 6188160

So, the LCM of 7032, 7040 is 6188160.

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

Prime factors of 7032 are 2, 3,293.

7032 = 2³×3¹×293¹

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, 3,293, 5,11

2⁷×3¹×5¹×11¹×293¹ = 6188160

This shows that the LCM of 7032 and 7040 is 6188160.

The first step in determining the Least Common Multiple of 7032 and 7040 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7032 and 7040:

Lets look at the first ten multiples of these numbers, 7032 and 7040:

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

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 7032 and 7040, for example, are 84384, 119544, and 112640. 6188160 is the least common multiple since it is the smallest.

7032 and 7040 have an LCM of 6188160.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7032 and 7040, than apply into the LCM equation.

GCF(7032,7040) = 8
LCM(7032,7040) = ( 7032 × 7040) / 8
LCM(7032,7040) = 49505280 / 8
LCM(7032,7040) = 6188160

1. What is the LCM of 7032 and 7040?

The LCM of 7032 and 7040 is 6188160.

2. How to find the lowest common multiple of 7032 and 7040?

To find the lowest common multiple of 7032 and 7040, we have to get the multip;es of both numbers and identify the least common multiple in them which is 6188160.

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 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 7032 and 7040 = 6188160

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 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 = 6188160 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 293

Step 4: Therefore, the least common multiple of 7032 and 7040 is 6188160.