LCM of 228 and 236
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 228 and 236 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 13452 as output. Here you can check the answer for Find the LCM of 228 and 236.
What is LCM of 228 and 236
Given Numbers are 228, 236
We can find the LCM of 228, 236 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 228 and 236
Multiples of 228 =228,456,684,912,1140,1368,1596,1824,2052,2280,2508,2736,2964,3192,3420,3648,3876,
Multiples of 236 =236,472,708,944,1180,1416,1652,1888,2124,2360,2596,2832,3068,3304,3540,3776,4012,
Now, get the least common multiple of 228, 236 which is 13452
So, the LCM of 228, 236 is 13452.
Least Common Multiple (LCM) of 228 and 236 with the help of Prime Factorisation
One method for determining the LCM of 228 and 236 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 228's prime factorization:
| 2 | 228 |
| 2 | 114 |
| 3 | 57 |
| 19 | 19 |
| 1 |
Prime factors of 228 are 2, 3,19.
228 = 22×31×191
And this is 236's prime factorization:
| 2 | 236 |
| 2 | 118 |
| 59 | 59 |
| 1 |
Prime factors of 236 are 2,59.
236 = 22×591
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, 3,19,59
.22×31×191×591 = 13452
This shows that the LCM of 228 and 236 is 13452.
How to Calculate the LCM of 228 and 236 Using Common Multiples
The first step in determining the Least Common Multiple of 228 and 236 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 228 and 236:
Lets look at the first ten multiples of these numbers, 228 and 236:
228,456,684,912,1140,1368,1596,1824,2052,3876 are the first ten multiples of 228.
236,472,708,944,1180,1416,1652,1888,2124,4012 are the first ten multiples of 236.
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 228 and 236, for example, are 2736, 3876, and 3776. 13452 is the least common multiple since it is the smallest.
228 and 236 have an LCM of 13452.
Least Common Multiple of 228 and 236 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 228 and 236, than apply into the LCM equation.
GCF(228,236) = 4
LCM(228,236) = ( 228 × 236) / 4
LCM(228,236) = 53808 / 4
LCM(228,236) = 13452
Related Least Common Multiples of 228
Related Least Common Multiples of 236
Frequently Asked Questions on LCM of 228 and 236
1. What is the LCM of 228 and 236?
The LCM of 228 and 236 is 13452.
2. How to find the lowest common multiple of 228 and 236?
To find the lowest common multiple of 228 and 236, we have to get the multip;es of both numbers and identify the least common multiple in them which is 13452.
3. What are the Factors of 228?
Answer: Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228. There are 12 integers that are factors of 228. The greatest factor of 228 is 228.
4. What are the Factors of 236?
Answer: Factors of 236 are 1, 2, 4, 59, 118, 236. There are 6 integers that are factors of 236. The greatest factor of 236 is 236.
5. How to Find the LCM of 228 and 236?Answer:
Least Common Multiple of 228 and 236 = 13452
Step 1: Find the prime factorization of 228
228 = 2 x 2 x 3 x 19
Step 2: Find the prime factorization of 236
236 = 2 x 2 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13452 = 2 x 2 x 3 x 19 x 59
Step 4: Therefore, the least common multiple of 228 and 236 is 13452.