Given Numbers are 64, 68

We can find the LCM of 64, 68 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 64 and 68

Multiples of 64 =64,128,192,256,320,384,448,512,576,640,704,768,832,896,960,1024,1088,

Multiples of 68 =68,136,204,272,340,408,476,544,612,680,748,816,884,952,1020,1088,1156,

Now, get the least common multiple of 64, 68 which is 1088

So, the LCM of 64, 68 is 1088.

One method for determining the LCM of 64 and 68 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 64's prime factorization:

Prime factors of 64 are 2.

64 = 2⁶

And this is 68's prime factorization:

Prime factors of 68 are 2,17.

68 = 2²×17¹

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:2,17

2⁶×17¹ = 1088

This shows that the LCM of 64 and 68 is 1088.

The first step in determining the Least Common Multiple of 64 and 68 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 64 and 68:

Lets look at the first ten multiples of these numbers, 64 and 68:

64,128,192,256,320,384,448,512,576,1088 are the first ten multiples of 64.

68,136,204,272,340,408,476,544,612,1156 are the first ten multiples of 68.

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 64 and 68, for example, are 768, 1088, and 1088. 1088 is the least common multiple since it is the smallest.

64 and 68 have an LCM of 1088.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64 and 68, than apply into the LCM equation.

GCF(64,68) = 4
LCM(64,68) = ( 64 × 68) / 4
LCM(64,68) = 4352 / 4
LCM(64,68) = 1088

1. What is the LCM of 64 and 68?

The LCM of 64 and 68 is 1088.

2. How to find the lowest common multiple of 64 and 68?

To find the lowest common multiple of 64 and 68, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1088.

3. What are the Factors of 64?

Answer: Factors of 64 are 1, 2, 4, 8, 16, 32, 64. There are 7 integers that are factors of 64. The greatest factor of 64 is 64.

4. What are the Factors of 68?

Answer: Factors of 68 are 1, 2, 4, 17, 34, 68. There are 6 integers that are factors of 68. The greatest factor of 68 is 68.

Answer:

Least Common Multiple of 64 and 68 = 1088

Step 1: Find the prime factorization of 64

64 = 2 x 2 x 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 68

68 = 2 x 2 x 17

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

LCM = 1088 = 2 x 2 x 2 x 2 x 2 x 2 x 17

Step 4: Therefore, the least common multiple of 64 and 68 is 1088.