Given Numbers are 7023, 7028

We can find the LCM of 7023, 7028 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7023 and 7028

Multiples of 7023 =7023,14046,21069,28092,35115,42138,49161,56184,63207,70230,77253,84276,91299,98322,105345,112368,119391,

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 7023, 7028 which is 49357644

So, the LCM of 7023, 7028 is 49357644.

One method for determining the LCM of 7023 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 7023's prime factorization:

Prime factors of 7023 are 3,2341.

7023 = 3¹×2341¹

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: 3,2341, 2, 7,251

2²×3¹×7¹×251¹×2341¹ = 49357644

This shows that the LCM of 7023 and 7028 is 49357644.

The first step in determining the Least Common Multiple of 7023 and 7028 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7023 and 7028:

Lets look at the first ten multiples of these numbers, 7023 and 7028:

7023,14046,21069,28092,35115,42138,49161,56184,63207,119391 are the first ten multiples of 7023.

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 7023 and 7028, for example, are 84276, 119391, and 112448. 49357644 is the least common multiple since it is the smallest.

7023 and 7028 have an LCM of 49357644.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7023 and 7028, than apply into the LCM equation.

GCF(7023,7028) = 1
LCM(7023,7028) = ( 7023 × 7028) / 1
LCM(7023,7028) = 49357644 / 1
LCM(7023,7028) = 49357644

1. What is the LCM of 7023 and 7028?

The LCM of 7023 and 7028 is 49357644.

2. How to find the lowest common multiple of 7023 and 7028?

To find the lowest common multiple of 7023 and 7028, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49357644.

3. What are the Factors of 7023?

Answer: Factors of 7023 are 1, 3, 2341, 7023. There are 4 integers that are factors of 7023. The greatest factor of 7023 is 7023.

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 7023 and 7028 = 49357644

Step 1: Find the prime factorization of 7023

7023 = 3 x 2341

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 = 49357644 = 2 x 2 x 3 x 7 x 251 x 2341

Step 4: Therefore, the least common multiple of 7023 and 7028 is 49357644.