Given Numbers are 7029, 7037

We can find the LCM of 7029, 7037 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7029 and 7037

Multiples of 7029 =7029,14058,21087,28116,35145,42174,49203,56232,63261,70290,77319,84348,91377,98406,105435,112464,119493,

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 7029, 7037 which is 49463073

So, the LCM of 7029, 7037 is 49463073.

One method for determining the LCM of 7029 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 7029's prime factorization:

Prime factors of 7029 are 3, 11,71.

7029 = 3²×11¹×71¹

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: 3, 11,71, 31,227

3²×11¹×31¹×71¹×227¹ = 49463073

This shows that the LCM of 7029 and 7037 is 49463073.

The first step in determining the Least Common Multiple of 7029 and 7037 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7029 and 7037:

Lets look at the first ten multiples of these numbers, 7029 and 7037:

7029,14058,21087,28116,35145,42174,49203,56232,63261,119493 are the first ten multiples of 7029.

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 7029 and 7037, for example, are 84348, 119493, and 112592. 49463073 is the least common multiple since it is the smallest.

7029 and 7037 have an LCM of 49463073.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7029 and 7037, than apply into the LCM equation.

GCF(7029,7037) = 1
LCM(7029,7037) = ( 7029 × 7037) / 1
LCM(7029,7037) = 49463073 / 1
LCM(7029,7037) = 49463073

1. What is the LCM of 7029 and 7037?

The LCM of 7029 and 7037 is 49463073.

2. How to find the lowest common multiple of 7029 and 7037?

To find the lowest common multiple of 7029 and 7037, we have to get the multip;es of both numbers and identify the least common multiple in them which is 49463073.

3. What are the Factors of 7029?

Answer: Factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029. There are 12 integers that are factors of 7029. The greatest factor of 7029 is 7029.

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 7029 and 7037 = 49463073

Step 1: Find the prime factorization of 7029

7029 = 3 x 3 x 11 x 71

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 = 49463073 = 3 x 3 x 11 x 31 x 71 x 227

Step 4: Therefore, the least common multiple of 7029 and 7037 is 49463073.