Given Numbers are 7029, 7036

We can find the LCM of 7029, 7036 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7029 and 7036

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

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 7029, 7036 which is 49456044

So, the LCM of 7029, 7036 is 49456044.

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

Prime factors of 7029 are 3, 11,71.

7029 = 3²×11¹×71¹

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: 3, 11,71, 2,1759

2²×3²×11¹×71¹×1759¹ = 49456044

This shows that the LCM of 7029 and 7036 is 49456044.

The first step in determining the Least Common Multiple of 7029 and 7036 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7029 and 7036:

Lets look at the first ten multiples of these numbers, 7029 and 7036:

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

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 7029 and 7036, for example, are 84348, 119493, and 112576. 49456044 is the least common multiple since it is the smallest.

7029 and 7036 have an LCM of 49456044.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7029 and 7036, than apply into the LCM equation.

GCF(7029,7036) = 1
LCM(7029,7036) = ( 7029 × 7036) / 1
LCM(7029,7036) = 49456044 / 1
LCM(7029,7036) = 49456044

1. What is the LCM of 7029 and 7036?

The LCM of 7029 and 7036 is 49456044.

2. How to find the lowest common multiple of 7029 and 7036?

To find the lowest common multiple of 7029 and 7036, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49456044.

3. 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.

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 7029 and 7036 = 49456044

Step 1: Find the prime factorization of 7029

7029 = 3 x 3 x 11 x 71

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 = 49456044 = 2 x 2 x 3 x 3 x 11 x 71 x 1759

Step 4: Therefore, the least common multiple of 7029 and 7036 is 49456044.