Given Numbers are 128, 132

We can find the LCM of 128, 132 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 128 and 132

Multiples of 128 =128,256,384,512,640,768,896,1024,1152,1280,1408,1536,1664,1792,1920,2048,2176,

Multiples of 132 =132,264,396,528,660,792,924,1056,1188,1320,1452,1584,1716,1848,1980,2112,2244,

Now, get the least common multiple of 128, 132 which is 4224

So, the LCM of 128, 132 is 4224.

One method for determining the LCM of 128 and 132 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 128's prime factorization:

Prime factors of 128 are 2.

128 = 2⁷

And this is 132's prime factorization:

Prime factors of 132 are 2, 3,11.

132 = 2²×3¹×11¹

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, 3,11

2⁷×3¹×11¹ = 4224

This shows that the LCM of 128 and 132 is 4224.

The first step in determining the Least Common Multiple of 128 and 132 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 128 and 132:

Lets look at the first ten multiples of these numbers, 128 and 132:

128,256,384,512,640,768,896,1024,1152,2176 are the first ten multiples of 128.

132,264,396,528,660,792,924,1056,1188,2244 are the first ten multiples of 132.

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 128 and 132, for example, are 1536, 2176, and 2112. 4224 is the least common multiple since it is the smallest.

128 and 132 have an LCM of 4224.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 128 and 132, than apply into the LCM equation.

GCF(128,132) = 4
LCM(128,132) = ( 128 × 132) / 4
LCM(128,132) = 16896 / 4
LCM(128,132) = 4224

1. What is the LCM of 128 and 132?

The LCM of 128 and 132 is 4224.

2. How to find the lowest common multiple of 128 and 132?

To find the lowest common multiple of 128 and 132, we have to get the multip;es of both numbers and identify the least common multiple in them which is 4224.

3. What are the Factors of 128?

Answer: Factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128. There are 8 integers that are factors of 128. The greatest factor of 128 is 128.

4. What are the Factors of 132?

Answer: Factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132. There are 12 integers that are factors of 132. The greatest factor of 132 is 132.

Answer:

Least Common Multiple of 128 and 132 = 4224

Step 1: Find the prime factorization of 128

128 = 2 x 2 x 2 x 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 132

132 = 2 x 2 x 3 x 11

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

LCM = 4224 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11

Step 4: Therefore, the least common multiple of 128 and 132 is 4224.