Given Numbers are 7026, 7034

We can find the LCM of 7026, 7034 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7026 and 7034

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

Multiples of 7034 =7034,14068,21102,28136,35170,42204,49238,56272,63306,70340,77374,84408,91442,98476,105510,112544,119578,

Now, get the least common multiple of 7026, 7034 which is 24710442

So, the LCM of 7026, 7034 is 24710442.

One method for determining the LCM of 7026 and 7034 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 7034's prime factorization:

Prime factors of 7034 are 2,3517.

7034 = 2¹×3517¹

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, 3,1171,3517

2¹×3¹×1171¹×3517¹ = 24710442

This shows that the LCM of 7026 and 7034 is 24710442.

The first step in determining the Least Common Multiple of 7026 and 7034 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7026 and 7034:

Lets look at the first ten multiples of these numbers, 7026 and 7034:

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

7034,14068,21102,28136,35170,42204,49238,56272,63306,119578 are the first ten multiples of 7034.

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 7034, for example, are 84312, 119442, and 112544. 24710442 is the least common multiple since it is the smallest.

7026 and 7034 have an LCM of 24710442.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7026 and 7034, than apply into the LCM equation.

GCF(7026,7034) = 2
LCM(7026,7034) = ( 7026 × 7034) / 2
LCM(7026,7034) = 49420884 / 2
LCM(7026,7034) = 24710442

1. What is the LCM of 7026 and 7034?

The LCM of 7026 and 7034 is 24710442.

2. How to find the lowest common multiple of 7026 and 7034?

To find the lowest common multiple of 7026 and 7034, we have to get the multip;es of both numbers and identify the least common multiple in them which is 24710442.

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 7034?

Answer: Factors of 7034 are 1, 2, 3517, 7034. There are 4 integers that are factors of 7034. The greatest factor of 7034 is 7034.

Answer:

Least Common Multiple of 7026 and 7034 = 24710442

Step 1: Find the prime factorization of 7026

7026 = 2 x 3 x 1171

Step 2: Find the prime factorization of 7034

7034 = 2 x 3517

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

LCM = 24710442 = 2 x 3 x 1171 x 3517

Step 4: Therefore, the least common multiple of 7026 and 7034 is 24710442.