Given Numbers are 7026, 7031

We can find the LCM of 7026, 7031 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7026 and 7031

Multiples of 7026 =7026,14052,21078,28104,35130,42156,49182,56208,63234,70260,77286,84312,91338,98364,105390,112416,119442,

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

Now, get the least common multiple of 7026, 7031 which is 49399806

So, the LCM of 7026, 7031 is 49399806.

One method for determining the LCM of 7026 and 7031 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 7026's prime factorization:

Prime factors of 7026 are 2, 3,1171.

7026 = 2¹×3¹×1171¹

And this is 7031's prime factorization:

Prime factors of 7031 are 79,89.

7031 = 79¹×89¹

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: 2, 3,1171, 79,89

2¹×3¹×79¹×89¹×1171¹ = 49399806

This shows that the LCM of 7026 and 7031 is 49399806.

The first step in determining the Least Common Multiple of 7026 and 7031 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7026 and 7031:

Lets look at the first ten multiples of these numbers, 7026 and 7031:

7026,14052,21078,28104,35130,42156,49182,56208,63234,119442 are the first ten multiples of 7026.

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

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 7026 and 7031, for example, are 84312, 119442, and 112496. 49399806 is the least common multiple since it is the smallest.

7026 and 7031 have an LCM of 49399806.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7026 and 7031, than apply into the LCM equation.

GCF(7026,7031) = 1
LCM(7026,7031) = ( 7026 × 7031) / 1
LCM(7026,7031) = 49399806 / 1
LCM(7026,7031) = 49399806

1. What is the LCM of 7026 and 7031?

The LCM of 7026 and 7031 is 49399806.

2. How to find the lowest common multiple of 7026 and 7031?

To find the lowest common multiple of 7026 and 7031, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49399806.

3. What are the Factors of 7026?

Answer: Factors of 7026 are 1, 2, 3, 6, 1171, 2342, 3513, 7026. There are 8 integers that are factors of 7026. The greatest factor of 7026 is 7026.

4. 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.

Answer:

Least Common Multiple of 7026 and 7031 = 49399806

Step 1: Find the prime factorization of 7026

7026 = 2 x 3 x 1171

Step 2: Find the prime factorization of 7031

7031 = 79 x 89

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

LCM = 49399806 = 2 x 3 x 79 x 89 x 1171

Step 4: Therefore, the least common multiple of 7026 and 7031 is 49399806.