Given Numbers are 32, 37

We can find the LCM of 32, 37 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 32 and 37

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

Multiples of 37 =37,74,111,148,185,222,259,296,333,370,407,444,481,518,555,592,629,

Now, get the least common multiple of 32, 37 which is 1184

So, the LCM of 32, 37 is 1184.

One method for determining the LCM of 32 and 37 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 37's prime factorization:

Prime factors of 37 are 37.

37 = 37¹

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:2,37

2⁵×37¹ = 1184

This shows that the LCM of 32 and 37 is 1184.

The first step in determining the Least Common Multiple of 32 and 37 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 32 and 37:

Lets look at the first ten multiples of these numbers, 32 and 37:

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

37,74,111,148,185,222,259,296,333,629 are the first ten multiples of 37.

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 37, for example, are 384, 544, and 592. 1184 is the least common multiple since it is the smallest.

32 and 37 have an LCM of 1184.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32 and 37, than apply into the LCM equation.

GCF(32,37) = 1
LCM(32,37) = ( 32 × 37) / 1
LCM(32,37) = 1184 / 1
LCM(32,37) = 1184

1. What is the LCM of 32 and 37?

The LCM of 32 and 37 is 1184.

2. How to find the lowest common multiple of 32 and 37?

To find the lowest common multiple of 32 and 37, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1184.

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 37?

Answer: Factors of 37 are 1, 37. There are 2 integers that are factors of 37. The greatest factor of 37 is 37.

Answer:

Least Common Multiple of 32 and 37 = 1184

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 37

37 = 37

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

LCM = 1184 = 2 x 2 x 2 x 2 x 2 x 37

Step 4: Therefore, the least common multiple of 32 and 37 is 1184.