LCM of 92 and 96
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 92 and 96 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 2208 as output. Here you can check the answer for Find the LCM of 92 and 96.
What is LCM of 92 and 96
Given Numbers are 92, 96
We can find the LCM of 92, 96 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 92 and 96
Multiples of 92 =92,184,276,368,460,552,644,736,828,920,1012,1104,1196,1288,1380,1472,1564,
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 92, 96 which is 2208
So, the LCM of 92, 96 is 2208.
Least Common Multiple (LCM) of 92 and 96 with the help of Prime Factorisation
One method for determining the LCM of 92 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 92's prime factorization:
| 2 | 92 |
| 2 | 46 |
| 23 | 23 |
| 1 |
Prime factors of 92 are 2,23.
92 = 22×231
And this is 96's prime factorization:
| 2 | 96 |
| 2 | 48 |
| 2 | 24 |
| 2 | 12 |
| 2 | 6 |
| 3 | 3 |
| 1 |
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: 2,23,3
.25×31×231 = 2208
This shows that the LCM of 92 and 96 is 2208.
How to Calculate the LCM of 92 and 96 Using Common Multiples
The first step in determining the Least Common Multiple of 92 and 96 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 92 and 96:
Lets look at the first ten multiples of these numbers, 92 and 96:
92,184,276,368,460,552,644,736,828,1564 are the first ten multiples of 92.
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 92 and 96, for example, are 1104, 1564, and 1536. 2208 is the least common multiple since it is the smallest.
92 and 96 have an LCM of 2208.
Least Common Multiple of 92 and 96 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92 and 96, than apply into the LCM equation.
GCF(92,96) = 4
LCM(92,96) = ( 92 × 96) / 4
LCM(92,96) = 8832 / 4
LCM(92,96) = 2208
Related Least Common Multiples of 92
Related Least Common Multiples of 96
Frequently Asked Questions on LCM of 92 and 96
1. What is the LCM of 92 and 96?
The LCM of 92 and 96 is 2208.
2. How to find the lowest common multiple of 92 and 96?
To find the lowest common multiple of 92 and 96, we have to get the multip;es of both numbers and identify the least common multiple in them which is 2208.
3. What are the Factors of 92?
Answer: Factors of 92 are 1, 2, 4, 23, 46, 92. There are 6 integers that are factors of 92. The greatest factor of 92 is 92.
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.
5. How to Find the LCM of 92 and 96?Answer:
Least Common Multiple of 92 and 96 = 2208
Step 1: Find the prime factorization of 92
92 = 2 x 2 x 23
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 = 2208 = 2 x 2 x 2 x 2 x 2 x 3 x 23
Step 4: Therefore, the least common multiple of 92 and 96 is 2208.