Given Numbers are 8668, 8672

We can find the LCM of 8668, 8672 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 8668 and 8672

Multiples of 8668 =8668,17336,26004,34672,43340,52008,60676,69344,78012,86680,95348,104016,112684,121352,130020,138688,147356,

Multiples of 8672 =8672,17344,26016,34688,43360,52032,60704,69376,78048,86720,95392,104064,112736,121408,130080,138752,147424,

Now, get the least common multiple of 8668, 8672 which is 18792224

So, the LCM of 8668, 8672 is 18792224.

One method for determining the LCM of 8668 and 8672 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 8668's prime factorization:

Prime factors of 8668 are 2, 11,197.

8668 = 2²×11¹×197¹

And this is 8672's prime factorization:

Prime factors of 8672 are 2,271.

8672 = 2⁵×271¹

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, 11,197,271

2⁵×11¹×197¹×271¹ = 18792224

This shows that the LCM of 8668 and 8672 is 18792224.

The first step in determining the Least Common Multiple of 8668 and 8672 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 8668 and 8672:

Lets look at the first ten multiples of these numbers, 8668 and 8672:

8668,17336,26004,34672,43340,52008,60676,69344,78012,147356 are the first ten multiples of 8668.

8672,17344,26016,34688,43360,52032,60704,69376,78048,147424 are the first ten multiples of 8672.

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 8668 and 8672, for example, are 104016, 147356, and 138752. 18792224 is the least common multiple since it is the smallest.

8668 and 8672 have an LCM of 18792224.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8668 and 8672, than apply into the LCM equation.

GCF(8668,8672) = 4
LCM(8668,8672) = ( 8668 × 8672) / 4
LCM(8668,8672) = 75168896 / 4
LCM(8668,8672) = 18792224

1. What is the LCM of 8668 and 8672?

The LCM of 8668 and 8672 is 18792224.

2. How to find the lowest common multiple of 8668 and 8672?

To find the lowest common multiple of 8668 and 8672, we have to get the multip;es of both numbers and identify the least common multiple in them which is 18792224.

3. What are the Factors of 8668?

Answer: Factors of 8668 are 1, 2, 4, 11, 22, 44, 197, 394, 788, 2167, 4334, 8668. There are 12 integers that are factors of 8668. The greatest factor of 8668 is 8668.

4. What are the Factors of 8672?

Answer: Factors of 8672 are 1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336, 8672. There are 12 integers that are factors of 8672. The greatest factor of 8672 is 8672.

Answer:

Least Common Multiple of 8668 and 8672 = 18792224

Step 1: Find the prime factorization of 8668

8668 = 2 x 2 x 11 x 197

Step 2: Find the prime factorization of 8672

8672 = 2 x 2 x 2 x 2 x 2 x 271

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

LCM = 18792224 = 2 x 2 x 2 x 2 x 2 x 11 x 197 x 271

Step 4: Therefore, the least common multiple of 8668 and 8672 is 18792224.