Given Numbers are 7031, 7037

We can find the LCM of 7031, 7037 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7031 and 7037

Multiples of 7031 =7031,14062,21093,28124,35155,42186,49217,56248,63279,70310,77341,84372,91403,98434,105465,112496,119527,

Multiples of 7037 =7037,14074,21111,28148,35185,42222,49259,56296,63333,70370,77407,84444,91481,98518,105555,112592,119629,

Now, get the least common multiple of 7031, 7037 which is 49477147

So, the LCM of 7031, 7037 is 49477147.

One method for determining the LCM of 7031 and 7037 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 7031's prime factorization:

Prime factors of 7031 are 79,89.

7031 = 79¹×89¹

And this is 7037's prime factorization:

Prime factors of 7037 are 31,227.

7037 = 31¹×227¹

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: 79,89, 31,227

31¹×79¹×89¹×227¹ = 49477147

This shows that the LCM of 7031 and 7037 is 49477147.

The first step in determining the Least Common Multiple of 7031 and 7037 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7031 and 7037:

Lets look at the first ten multiples of these numbers, 7031 and 7037:

7031,14062,21093,28124,35155,42186,49217,56248,63279,119527 are the first ten multiples of 7031.

7037,14074,21111,28148,35185,42222,49259,56296,63333,119629 are the first ten multiples of 7037.

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 7031 and 7037, for example, are 84372, 119527, and 112592. 49477147 is the least common multiple since it is the smallest.

7031 and 7037 have an LCM of 49477147.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7031 and 7037, than apply into the LCM equation.

GCF(7031,7037) = 1
LCM(7031,7037) = ( 7031 × 7037) / 1
LCM(7031,7037) = 49477147 / 1
LCM(7031,7037) = 49477147

1. What is the LCM of 7031 and 7037?

The LCM of 7031 and 7037 is 49477147.

2. How to find the lowest common multiple of 7031 and 7037?

To find the lowest common multiple of 7031 and 7037, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49477147.

3. What are the Factors of 7031?

Answer: Factors of 7031 are 1, 79, 89, 7031. There are 4 integers that are factors of 7031. The greatest factor of 7031 is 7031.

4. What are the Factors of 7037?

Answer: Factors of 7037 are 1, 31, 227, 7037. There are 4 integers that are factors of 7037. The greatest factor of 7037 is 7037.

Answer:

Least Common Multiple of 7031 and 7037 = 49477147

Step 1: Find the prime factorization of 7031

7031 = 79 x 89

Step 2: Find the prime factorization of 7037

7037 = 31 x 227

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

LCM = 49477147 = 31 x 79 x 89 x 227

Step 4: Therefore, the least common multiple of 7031 and 7037 is 49477147.