Given Numbers are 7033, 7040

We can find the LCM of 7033, 7040 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7033 and 7040

Multiples of 7033 =7033,14066,21099,28132,35165,42198,49231,56264,63297,70330,77363,84396,91429,98462,105495,112528,119561,

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 7033, 7040 which is 49512320

So, the LCM of 7033, 7040 is 49512320.

One method for determining the LCM of 7033 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 7033's prime factorization:

Prime factors of 7033 are 13,541.

7033 = 13¹×541¹

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: 13,541, 2, 5,11

2⁷×5¹×11¹×13¹×541¹ = 49512320

This shows that the LCM of 7033 and 7040 is 49512320.

The first step in determining the Least Common Multiple of 7033 and 7040 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7033 and 7040:

Lets look at the first ten multiples of these numbers, 7033 and 7040:

7033,14066,21099,28132,35165,42198,49231,56264,63297,119561 are the first ten multiples of 7033.

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 7033 and 7040, for example, are 84396, 119561, and 112640. 49512320 is the least common multiple since it is the smallest.

7033 and 7040 have an LCM of 49512320.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7033 and 7040, than apply into the LCM equation.

GCF(7033,7040) = 1
LCM(7033,7040) = ( 7033 × 7040) / 1
LCM(7033,7040) = 49512320 / 1
LCM(7033,7040) = 49512320

1. What is the LCM of 7033 and 7040?

The LCM of 7033 and 7040 is 49512320.

2. How to find the lowest common multiple of 7033 and 7040?

To find the lowest common multiple of 7033 and 7040, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49512320.

3. What are the Factors of 7033?

Answer: Factors of 7033 are 1, 13, 541, 7033. There are 4 integers that are factors of 7033. The greatest factor of 7033 is 7033.

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 7033 and 7040 = 49512320

Step 1: Find the prime factorization of 7033

7033 = 13 x 541

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 = 49512320 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 13 x 541

Step 4: Therefore, the least common multiple of 7033 and 7040 is 49512320.