Given Numbers are 7021, 7028

We can find the LCM of 7021, 7028 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7021 and 7028

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

Multiples of 7028 =7028,14056,21084,28112,35140,42168,49196,56224,63252,70280,77308,84336,91364,98392,105420,112448,119476,

Now, get the least common multiple of 7021, 7028 which is 7049084

So, the LCM of 7021, 7028 is 7049084.

One method for determining the LCM of 7021 and 7028 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 7028's prime factorization:

Prime factors of 7028 are 2, 7,251.

7028 = 2²×7¹×251¹

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, 2,251

2²×7¹×17¹×59¹×251¹ = 7049084

This shows that the LCM of 7021 and 7028 is 7049084.

The first step in determining the Least Common Multiple of 7021 and 7028 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7021 and 7028:

Lets look at the first ten multiples of these numbers, 7021 and 7028:

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

7028,14056,21084,28112,35140,42168,49196,56224,63252,119476 are the first ten multiples of 7028.

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 7028, for example, are 84252, 119357, and 112448. 7049084 is the least common multiple since it is the smallest.

7021 and 7028 have an LCM of 7049084.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7021 and 7028, than apply into the LCM equation.

GCF(7021,7028) = 7
LCM(7021,7028) = ( 7021 × 7028) / 7
LCM(7021,7028) = 49343588 / 7
LCM(7021,7028) = 7049084

1. What is the LCM of 7021 and 7028?

The LCM of 7021 and 7028 is 7049084.

2. How to find the lowest common multiple of 7021 and 7028?

To find the lowest common multiple of 7021 and 7028, we have to get the multip;es of both numbers and identify the least common multiple in them which is 7049084.

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 7028?

Answer: Factors of 7028 are 1, 2, 4, 7, 14, 28, 251, 502, 1004, 1757, 3514, 7028. There are 12 integers that are factors of 7028. The greatest factor of 7028 is 7028.

Answer:

Least Common Multiple of 7021 and 7028 = 7049084

Step 1: Find the prime factorization of 7021

7021 = 7 x 17 x 59

Step 2: Find the prime factorization of 7028

7028 = 2 x 2 x 7 x 251

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

LCM = 7049084 = 2 x 2 x 7 x 17 x 59 x 251

Step 4: Therefore, the least common multiple of 7021 and 7028 is 7049084.