Given Numbers are 7044, 7052

We can find the LCM of 7044, 7052 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 7044 and 7052

Multiples of 7044 =7044,14088,21132,28176,35220,42264,49308,56352,63396,70440,77484,84528,91572,98616,105660,112704,119748,

Multiples of 7052 =7052,14104,21156,28208,35260,42312,49364,56416,63468,70520,77572,84624,91676,98728,105780,112832,119884,

Now, get the least common multiple of 7044, 7052 which is 12418572

So, the LCM of 7044, 7052 is 12418572.

One method for determining the LCM of 7044 and 7052 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 7044's prime factorization:

Prime factors of 7044 are 2, 3,587.

7044 = 2²×3¹×587¹

And this is 7052's prime factorization:

Prime factors of 7052 are 2, 41,43.

7052 = 2²×41¹×43¹

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, 3,587, 41,43

2²×3¹×41¹×43¹×587¹ = 12418572

This shows that the LCM of 7044 and 7052 is 12418572.

The first step in determining the Least Common Multiple of 7044 and 7052 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 7044 and 7052:

Lets look at the first ten multiples of these numbers, 7044 and 7052:

7044,14088,21132,28176,35220,42264,49308,56352,63396,119748 are the first ten multiples of 7044.

7052,14104,21156,28208,35260,42312,49364,56416,63468,119884 are the first ten multiples of 7052.

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 7044 and 7052, for example, are 84528, 119748, and 112832. 12418572 is the least common multiple since it is the smallest.

7044 and 7052 have an LCM of 12418572.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7044 and 7052, than apply into the LCM equation.

GCF(7044,7052) = 4
LCM(7044,7052) = ( 7044 × 7052) / 4
LCM(7044,7052) = 49674288 / 4
LCM(7044,7052) = 12418572

1. What is the LCM of 7044 and 7052?

The LCM of 7044 and 7052 is 12418572.

2. How to find the lowest common multiple of 7044 and 7052?

To find the lowest common multiple of 7044 and 7052, we have to get the multip;es of both numbers and identify the least common multiple in them which is 12418572.

3. What are the Factors of 7044?

Answer: Factors of 7044 are 1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044. There are 12 integers that are factors of 7044. The greatest factor of 7044 is 7044.

4. What are the Factors of 7052?

Answer: Factors of 7052 are 1, 2, 4, 41, 43, 82, 86, 164, 172, 1763, 3526, 7052. There are 12 integers that are factors of 7052. The greatest factor of 7052 is 7052.

Answer:

Least Common Multiple of 7044 and 7052 = 12418572

Step 1: Find the prime factorization of 7044

7044 = 2 x 2 x 3 x 587

Step 2: Find the prime factorization of 7052

7052 = 2 x 2 x 41 x 43

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

LCM = 12418572 = 2 x 2 x 3 x 41 x 43 x 587

Step 4: Therefore, the least common multiple of 7044 and 7052 is 12418572.