Given Numbers are 121, 128

We can find the LCM of 121, 128 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 121 and 128

Multiples of 121 =121,242,363,484,605,726,847,968,1089,1210,1331,1452,1573,1694,1815,1936,2057,

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

Now, get the least common multiple of 121, 128 which is 15488

So, the LCM of 121, 128 is 15488.

One method for determining the LCM of 121 and 128 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 121's prime factorization:

Prime factors of 121 are 11.

121 = 11²

And this is 128's prime factorization:

Prime factors of 128 are 2.

128 = 2⁷

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:11,2

2⁷×11² = 15488

This shows that the LCM of 121 and 128 is 15488.

The first step in determining the Least Common Multiple of 121 and 128 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 121 and 128:

Lets look at the first ten multiples of these numbers, 121 and 128:

121,242,363,484,605,726,847,968,1089,2057 are the first ten multiples of 121.

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

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 121 and 128, for example, are 1452, 2057, and 2048. 15488 is the least common multiple since it is the smallest.

121 and 128 have an LCM of 15488.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 121 and 128, than apply into the LCM equation.

GCF(121,128) = 1
LCM(121,128) = ( 121 × 128) / 1
LCM(121,128) = 15488 / 1
LCM(121,128) = 15488

1. What is the LCM of 121 and 128?

The LCM of 121 and 128 is 15488.

2. How to find the lowest common multiple of 121 and 128?

To find the lowest common multiple of 121 and 128, we have to get the multip;es of both numbers and identify the least common multiple in them which is 15488.

3. What are the Factors of 121?

Answer: Factors of 121 are 1, 11, 121. There are 3 integers that are factors of 121. The greatest factor of 121 is 121.

4. 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.

Answer:

Least Common Multiple of 121 and 128 = 15488

Step 1: Find the prime factorization of 121

121 = 11 x 11

Step 2: Find the prime factorization of 128

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

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

LCM = 15488 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 11

Step 4: Therefore, the least common multiple of 121 and 128 is 15488.