Given Numbers are 7024, 7029

We can find the LCM of 7024, 7029 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7024 and 7029

Multiples of 7024 =7024,14048,21072,28096,35120,42144,49168,56192,63216,70240,77264,84288,91312,98336,105360,112384,119408,

Multiples of 7029 =7029,14058,21087,28116,35145,42174,49203,56232,63261,70290,77319,84348,91377,98406,105435,112464,119493,

Now, get the least common multiple of 7024, 7029 which is 49371696

So, the LCM of 7024, 7029 is 49371696.

One method for determining the LCM of 7024 and 7029 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 7024's prime factorization:

Prime factors of 7024 are 2,439.

7024 = 2⁴×439¹

And this is 7029's prime factorization:

Prime factors of 7029 are 3, 11,71.

7029 = 3²×11¹×71¹

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: 2,439, 3, 11,71

2⁴×3²×11¹×71¹×439¹ = 49371696

This shows that the LCM of 7024 and 7029 is 49371696.

The first step in determining the Least Common Multiple of 7024 and 7029 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7024 and 7029:

Lets look at the first ten multiples of these numbers, 7024 and 7029:

7024,14048,21072,28096,35120,42144,49168,56192,63216,119408 are the first ten multiples of 7024.

7029,14058,21087,28116,35145,42174,49203,56232,63261,119493 are the first ten multiples of 7029.

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 7024 and 7029, for example, are 84288, 119408, and 112464. 49371696 is the least common multiple since it is the smallest.

7024 and 7029 have an LCM of 49371696.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7024 and 7029, than apply into the LCM equation.

GCF(7024,7029) = 1
LCM(7024,7029) = ( 7024 × 7029) / 1
LCM(7024,7029) = 49371696 / 1
LCM(7024,7029) = 49371696

1. What is the LCM of 7024 and 7029?

The LCM of 7024 and 7029 is 49371696.

2. How to find the lowest common multiple of 7024 and 7029?

To find the lowest common multiple of 7024 and 7029, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49371696.

3. What are the Factors of 7024?

Answer: Factors of 7024 are 1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024. There are 10 integers that are factors of 7024. The greatest factor of 7024 is 7024.

4. What are the Factors of 7029?

Answer: Factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029. There are 12 integers that are factors of 7029. The greatest factor of 7029 is 7029.

Answer:

Least Common Multiple of 7024 and 7029 = 49371696

Step 1: Find the prime factorization of 7024

7024 = 2 x 2 x 2 x 2 x 439

Step 2: Find the prime factorization of 7029

7029 = 3 x 3 x 11 x 71

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

LCM = 49371696 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 71 x 439

Step 4: Therefore, the least common multiple of 7024 and 7029 is 49371696.