Given Numbers are 96, 103

We can find the LCM of 96, 103 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 96 and 103

Multiples of 96 =96,192,288,384,480,576,672,768,864,960,1056,1152,1248,1344,1440,1536,1632,

Multiples of 103 =103,206,309,412,515,618,721,824,927,1030,1133,1236,1339,1442,1545,1648,1751,

Now, get the least common multiple of 96, 103 which is 9888

So, the LCM of 96, 103 is 9888.

One method for determining the LCM of 96 and 103 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 96's prime factorization:

Prime factors of 96 are 2,3.

96 = 2⁵×3¹

And this is 103's prime factorization:

Prime factors of 103 are 103.

103 = 103¹

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: 2,3,103

2⁵×3¹×103¹ = 9888

This shows that the LCM of 96 and 103 is 9888.

The first step in determining the Least Common Multiple of 96 and 103 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 96 and 103:

Lets look at the first ten multiples of these numbers, 96 and 103:

96,192,288,384,480,576,672,768,864,1632 are the first ten multiples of 96.

103,206,309,412,515,618,721,824,927,1751 are the first ten multiples of 103.

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 96 and 103, for example, are 1152, 1632, and 1648. 9888 is the least common multiple since it is the smallest.

96 and 103 have an LCM of 9888.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96 and 103, than apply into the LCM equation.

GCF(96,103) = 1
LCM(96,103) = ( 96 × 103) / 1
LCM(96,103) = 9888 / 1
LCM(96,103) = 9888

1. What is the LCM of 96 and 103?

The LCM of 96 and 103 is 9888.

2. How to find the lowest common multiple of 96 and 103?

To find the lowest common multiple of 96 and 103, we have to get the multip;es of both numbers and identify the least common multiple in them which is 9888.

3. What are the Factors of 96?

Answer: Factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. There are 12 integers that are factors of 96. The greatest factor of 96 is 96.

4. What are the Factors of 103?

Answer: Factors of 103 are 1, 103. There are 2 integers that are factors of 103. The greatest factor of 103 is 103.

Answer:

Least Common Multiple of 96 and 103 = 9888

Step 1: Find the prime factorization of 96

96 = 2 x 2 x 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 103

103 = 103

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

LCM = 9888 = 2 x 2 x 2 x 2 x 2 x 3 x 103

Step 4: Therefore, the least common multiple of 96 and 103 is 9888.