Given Numbers are 7029, 7035

We can find the LCM of 7029, 7035 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7029 and 7035

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

Multiples of 7035 =7035,14070,21105,28140,35175,42210,49245,56280,63315,70350,77385,84420,91455,98490,105525,112560,119595,

Now, get the least common multiple of 7029, 7035 which is 16483005

So, the LCM of 7029, 7035 is 16483005.

One method for determining the LCM of 7029 and 7035 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 7035's prime factorization:

Prime factors of 7035 are 3, 5, 7,67.

7035 = 3¹×5¹×7¹×67¹

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, 5, 7,67

3²×5¹×7¹×11¹×67¹×71¹ = 16483005

This shows that the LCM of 7029 and 7035 is 16483005.

The first step in determining the Least Common Multiple of 7029 and 7035 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7029 and 7035:

Lets look at the first ten multiples of these numbers, 7029 and 7035:

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

7035,14070,21105,28140,35175,42210,49245,56280,63315,119595 are the first ten multiples of 7035.

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 7035, for example, are 84348, 119493, and 112560. 16483005 is the least common multiple since it is the smallest.

7029 and 7035 have an LCM of 16483005.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7029 and 7035, than apply into the LCM equation.

GCF(7029,7035) = 3
LCM(7029,7035) = ( 7029 × 7035) / 3
LCM(7029,7035) = 49449015 / 3
LCM(7029,7035) = 16483005

1. What is the LCM of 7029 and 7035?

The LCM of 7029 and 7035 is 16483005.

2. How to find the lowest common multiple of 7029 and 7035?

To find the lowest common multiple of 7029 and 7035, we have to get the multip;es of both numbers and identify the least common multiple in them which is 16483005.

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 7035?

Answer: Factors of 7035 are 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035. There are 16 integers that are factors of 7035. The greatest factor of 7035 is 7035.

Answer:

Least Common Multiple of 7029 and 7035 = 16483005

Step 1: Find the prime factorization of 7029

7029 = 3 x 3 x 11 x 71

Step 2: Find the prime factorization of 7035

7035 = 3 x 5 x 7 x 67

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

LCM = 16483005 = 3 x 3 x 5 x 7 x 11 x 67 x 71

Step 4: Therefore, the least common multiple of 7029 and 7035 is 16483005.