Given Numbers are 7021, 7029

We can find the LCM of 7021, 7029 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7021 and 7029

Multiples of 7021 =7021,14042,21063,28084,35105,42126,49147,56168,63189,70210,77231,84252,91273,98294,105315,112336,119357,

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 7021, 7029 which is 49350609

So, the LCM of 7021, 7029 is 49350609.

One method for determining the LCM of 7021 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 7021's prime factorization:

Prime factors of 7021 are 7, 17,59.

7021 = 7¹×17¹×59¹

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: 7, 17,59, 3, 11,71

3²×7¹×11¹×17¹×59¹×71¹ = 49350609

This shows that the LCM of 7021 and 7029 is 49350609.

The first step in determining the Least Common Multiple of 7021 and 7029 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7021 and 7029:

Lets look at the first ten multiples of these numbers, 7021 and 7029:

7021,14042,21063,28084,35105,42126,49147,56168,63189,119357 are the first ten multiples of 7021.

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 7021 and 7029, for example, are 84252, 119357, and 112464. 49350609 is the least common multiple since it is the smallest.

7021 and 7029 have an LCM of 49350609.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7021 and 7029, than apply into the LCM equation.

GCF(7021,7029) = 1
LCM(7021,7029) = ( 7021 × 7029) / 1
LCM(7021,7029) = 49350609 / 1
LCM(7021,7029) = 49350609

1. What is the LCM of 7021 and 7029?

The LCM of 7021 and 7029 is 49350609.

2. How to find the lowest common multiple of 7021 and 7029?

To find the lowest common multiple of 7021 and 7029, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49350609.

3. What are the Factors of 7021?

Answer: Factors of 7021 are 1, 7, 17, 59, 119, 413, 1003, 7021. There are 8 integers that are factors of 7021. The greatest factor of 7021 is 7021.

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 7021 and 7029 = 49350609

Step 1: Find the prime factorization of 7021

7021 = 7 x 17 x 59

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 = 49350609 = 3 x 3 x 7 x 11 x 17 x 59 x 71

Step 4: Therefore, the least common multiple of 7021 and 7029 is 49350609.