It is easy to find the LCM of 226 and 232 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 26216 as output. Here you can check the answer for Find the LCM of 226 and 232.
Given Numbers are 226, 232
We can find the LCM of 226, 232 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 226 and 232
Multiples of 226 =226,452,678,904,1130,1356,1582,1808,2034,2260,2486,2712,2938,3164,3390,3616,3842,
Multiples of 232 =232,464,696,928,1160,1392,1624,1856,2088,2320,2552,2784,3016,3248,3480,3712,3944,
Now, get the least common multiple of 226, 232 which is 26216
So, the LCM of 226, 232 is 26216.
One method for determining the LCM of 226 and 232 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 226's prime factorization:2 | 226 |
113 | 113 |
1 |
Prime factors of 226 are 2,113.
226 = 21×1131
And this is 232's prime factorization:
2 | 232 |
2 | 116 |
2 | 58 |
29 | 29 |
1 |
Prime factors of 232 are 2,29.
232 = 23×291
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: 2,113,29
.23×291×1131 = 26216
This shows that the LCM of 226 and 232 is 26216.
The first step in determining the Least Common Multiple of 226 and 232 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 226 and 232:
Lets look at the first ten multiples of these numbers, 226 and 232:
226,452,678,904,1130,1356,1582,1808,2034,3842 are the first ten multiples of 226.
232,464,696,928,1160,1392,1624,1856,2088,3944 are the first ten multiples of 232.
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 226 and 232, for example, are 2712, 3842, and 3712. 26216 is the least common multiple since it is the smallest.
226 and 232 have an LCM of 26216.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 226 and 232, than apply into the LCM equation.
GCF(226,232) = 2
LCM(226,232) = ( 226 × 232) / 2
LCM(226,232) = 52432 / 2
LCM(226,232) = 26216
1. What is the LCM of 226 and 232?
The LCM of 226 and 232 is 26216.
2. How to find the lowest common multiple of 226 and 232?
To find the lowest common multiple of 226 and 232, we have to get the multip;es of both numbers and identify the least common multiple in them which is 26216.
3. What are the Factors of 226?
Answer: Factors of 226 are 1, 2, 113, 226. There are 4 integers that are factors of 226. The greatest factor of 226 is 226.
4. What are the Factors of 232?
Answer: Factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232. There are 8 integers that are factors of 232. The greatest factor of 232 is 232.
5. How to Find the LCM of 226 and 232?Answer:
Least Common Multiple of 226 and 232 = 26216
Step 1: Find the prime factorization of 226
226 = 2 x 113
Step 2: Find the prime factorization of 232
232 = 2 x 2 x 2 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26216 = 2 x 2 x 2 x 29 x 113
Step 4: Therefore, the least common multiple of 226 and 232 is 26216.