Given Numbers are 91, 96

We can find the LCM of 91, 96 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 91 and 96

Multiples of 91 =91,182,273,364,455,546,637,728,819,910,1001,1092,1183,1274,1365,1456,1547,

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

Now, get the least common multiple of 91, 96 which is 8736

So, the LCM of 91, 96 is 8736.

One method for determining the LCM of 91 and 96 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 91's prime factorization:

Prime factors of 91 are 7,13.

91 = 7¹×13¹

And this is 96's prime factorization:

Prime factors of 96 are 2,3.

96 = 2⁵×3¹

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: 7,13, 2,3

2⁵×3¹×7¹×13¹ = 8736

This shows that the LCM of 91 and 96 is 8736.

The first step in determining the Least Common Multiple of 91 and 96 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 91 and 96:

Lets look at the first ten multiples of these numbers, 91 and 96:

91,182,273,364,455,546,637,728,819,1547 are the first ten multiples of 91.

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

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 91 and 96, for example, are 1092, 1547, and 1536. 8736 is the least common multiple since it is the smallest.

91 and 96 have an LCM of 8736.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91 and 96, than apply into the LCM equation.

GCF(91,96) = 1
LCM(91,96) = ( 91 × 96) / 1
LCM(91,96) = 8736 / 1
LCM(91,96) = 8736

1. What is the LCM of 91 and 96?

The LCM of 91 and 96 is 8736.

2. How to find the lowest common multiple of 91 and 96?

To find the lowest common multiple of 91 and 96, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8736.

3. What are the Factors of 91?

Answer: Factors of 91 are 1, 7, 13, 91. There are 4 integers that are factors of 91. The greatest factor of 91 is 91.

4. 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.

Answer:

Least Common Multiple of 91 and 96 = 8736

Step 1: Find the prime factorization of 91

91 = 7 x 13

Step 2: Find the prime factorization of 96

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

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

LCM = 8736 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13

Step 4: Therefore, the least common multiple of 91 and 96 is 8736.