Given Numbers are 32, 39

We can find the LCM of 32, 39 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 32 and 39

Multiples of 32 =32,64,96,128,160,192,224,256,288,320,352,384,416,448,480,512,544,

Multiples of 39 =39,78,117,156,195,234,273,312,351,390,429,468,507,546,585,624,663,

Now, get the least common multiple of 32, 39 which is 1248

So, the LCM of 32, 39 is 1248.

One method for determining the LCM of 32 and 39 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 32's prime factorization:

Prime factors of 32 are 2.

32 = 2⁵

And this is 39's prime factorization:

Prime factors of 39 are 3,13.

39 = 3¹×13¹

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, 3,13

2⁵×3¹×13¹ = 1248

This shows that the LCM of 32 and 39 is 1248.

The first step in determining the Least Common Multiple of 32 and 39 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 32 and 39:

Lets look at the first ten multiples of these numbers, 32 and 39:

32,64,96,128,160,192,224,256,288,544 are the first ten multiples of 32.

39,78,117,156,195,234,273,312,351,663 are the first ten multiples of 39.

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 32 and 39, for example, are 384, 544, and 624. 1248 is the least common multiple since it is the smallest.

32 and 39 have an LCM of 1248.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32 and 39, than apply into the LCM equation.

GCF(32,39) = 1
LCM(32,39) = ( 32 × 39) / 1
LCM(32,39) = 1248 / 1
LCM(32,39) = 1248

1. What is the LCM of 32 and 39?

The LCM of 32 and 39 is 1248.

2. How to find the lowest common multiple of 32 and 39?

To find the lowest common multiple of 32 and 39, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1248.

3. What are the Factors of 32?

Answer: Factors of 32 are 1, 2, 4, 8, 16, 32. There are 6 integers that are factors of 32. The greatest factor of 32 is 32.

4. What are the Factors of 39?

Answer: Factors of 39 are 1, 3, 13, 39. There are 4 integers that are factors of 39. The greatest factor of 39 is 39.

Answer:

Least Common Multiple of 32 and 39 = 1248

Step 1: Find the prime factorization of 32

32 = 2 x 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 39

39 = 3 x 13

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

LCM = 1248 = 2 x 2 x 2 x 2 x 2 x 3 x 13

Step 4: Therefore, the least common multiple of 32 and 39 is 1248.