Given Numbers are 7021, 7027

We can find the LCM of 7021, 7027 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7021 and 7027

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

Multiples of 7027 =7027,14054,21081,28108,35135,42162,49189,56216,63243,70270,77297,84324,91351,98378,105405,112432,119459,

Now, get the least common multiple of 7021, 7027 which is 49336567

So, the LCM of 7021, 7027 is 49336567.

One method for determining the LCM of 7021 and 7027 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 7027's prime factorization:

Prime factors of 7027 are 7027.

7027 = 7027¹

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, 17,59,7027

7¹×17¹×59¹×7027¹ = 49336567

This shows that the LCM of 7021 and 7027 is 49336567.

The first step in determining the Least Common Multiple of 7021 and 7027 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7021 and 7027:

Lets look at the first ten multiples of these numbers, 7021 and 7027:

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

7027,14054,21081,28108,35135,42162,49189,56216,63243,119459 are the first ten multiples of 7027.

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 7027, for example, are 84252, 119357, and 112432. 49336567 is the least common multiple since it is the smallest.

7021 and 7027 have an LCM of 49336567.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7021 and 7027, than apply into the LCM equation.

GCF(7021,7027) = 1
LCM(7021,7027) = ( 7021 × 7027) / 1
LCM(7021,7027) = 49336567 / 1
LCM(7021,7027) = 49336567

1. What is the LCM of 7021 and 7027?

The LCM of 7021 and 7027 is 49336567.

2. How to find the lowest common multiple of 7021 and 7027?

To find the lowest common multiple of 7021 and 7027, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49336567.

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 7027?

Answer: Factors of 7027 are 1, 7027. There are 2 integers that are factors of 7027. The greatest factor of 7027 is 7027.

Answer:

Least Common Multiple of 7021 and 7027 = 49336567

Step 1: Find the prime factorization of 7021

7021 = 7 x 17 x 59

Step 2: Find the prime factorization of 7027

7027 = 7027

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

LCM = 49336567 = 7 x 17 x 59 x 7027

Step 4: Therefore, the least common multiple of 7021 and 7027 is 49336567.