It is easy to find the LCM of 226 and 233 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 52658 as output. Here you can check the answer for Find the LCM of 226 and 233.
Given Numbers are 226, 233
We can find the LCM of 226, 233 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 226 and 233
Multiples of 226 =226,452,678,904,1130,1356,1582,1808,2034,2260,2486,2712,2938,3164,3390,3616,3842,
Multiples of 233 =233,466,699,932,1165,1398,1631,1864,2097,2330,2563,2796,3029,3262,3495,3728,3961,
Now, get the least common multiple of 226, 233 which is 52658
So, the LCM of 226, 233 is 52658.
One method for determining the LCM of 226 and 233 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 233's prime factorization:
233 | 233 |
1 |
Prime factors of 233 are 233.
233 = 2331
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: 2,113,233
.21×1131×2331 = 52658
This shows that the LCM of 226 and 233 is 52658.
The first step in determining the Least Common Multiple of 226 and 233 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 226 and 233:
Lets look at the first ten multiples of these numbers, 226 and 233:
226,452,678,904,1130,1356,1582,1808,2034,3842 are the first ten multiples of 226.
233,466,699,932,1165,1398,1631,1864,2097,3961 are the first ten multiples of 233.
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 233, for example, are 2712, 3842, and 3728. 52658 is the least common multiple since it is the smallest.
226 and 233 have an LCM of 52658.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 226 and 233, than apply into the LCM equation.
GCF(226,233) = 1
LCM(226,233) = ( 226 × 233) / 1
LCM(226,233) = 52658 / 1
LCM(226,233) = 52658
1. What is the LCM of 226 and 233?
The LCM of 226 and 233 is 52658.
2. How to find the lowest common multiple of 226 and 233?
To find the lowest common multiple of 226 and 233, we have to get the multip;es of both numbers and identify the least common multiple in them which is 52658.
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 233?
Answer: Factors of 233 are 1, 233. There are 2 integers that are factors of 233. The greatest factor of 233 is 233.
5. How to Find the LCM of 226 and 233?Answer:
Least Common Multiple of 226 and 233 = 52658
Step 1: Find the prime factorization of 226
226 = 2 x 113
Step 2: Find the prime factorization of 233
233 = 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52658 = 2 x 113 x 233
Step 4: Therefore, the least common multiple of 226 and 233 is 52658.