LCM of 225 and 229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 225 and 229 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 51525 as output. Here you can check the answer for Find the LCM of 225 and 229.
What is LCM of 225 and 229
Given Numbers are 225, 229
We can find the LCM of 225, 229 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 225 and 229
Multiples of 225 =225,450,675,900,1125,1350,1575,1800,2025,2250,2475,2700,2925,3150,3375,3600,3825,
Multiples of 229 =229,458,687,916,1145,1374,1603,1832,2061,2290,2519,2748,2977,3206,3435,3664,3893,
Now, get the least common multiple of 225, 229 which is 51525
So, the LCM of 225, 229 is 51525.
Least Common Multiple (LCM) of 225 and 229 with the help of Prime Factorisation
One method for determining the LCM of 225 and 229 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 225's prime factorization:
| 3 | 225 |
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 225 are 3,5.
225 = 32×52
And this is 229's prime factorization:
| 229 | 229 |
| 1 |
Prime factors of 229 are 229.
229 = 2291
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: 3,5,229
.32×52×2291 = 51525
This shows that the LCM of 225 and 229 is 51525.
How to Calculate the LCM of 225 and 229 Using Common Multiples
The first step in determining the Least Common Multiple of 225 and 229 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 225 and 229:
Lets look at the first ten multiples of these numbers, 225 and 229:
225,450,675,900,1125,1350,1575,1800,2025,3825 are the first ten multiples of 225.
229,458,687,916,1145,1374,1603,1832,2061,3893 are the first ten multiples of 229.
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 225 and 229, for example, are 2700, 3825, and 3664. 51525 is the least common multiple since it is the smallest.
225 and 229 have an LCM of 51525.
Least Common Multiple of 225 and 229 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 225 and 229, than apply into the LCM equation.
GCF(225,229) = 1
LCM(225,229) = ( 225 × 229) / 1
LCM(225,229) = 51525 / 1
LCM(225,229) = 51525
Related Least Common Multiples of 225
Related Least Common Multiples of 229
Frequently Asked Questions on LCM of 225 and 229
1. What is the LCM of 225 and 229?
The LCM of 225 and 229 is 51525.
2. How to find the lowest common multiple of 225 and 229?
To find the lowest common multiple of 225 and 229, we have to get the multip;es of both numbers and identify the least common multiple in them which is 51525.
3. What are the Factors of 225?
Answer: Factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225. There are 9 integers that are factors of 225. The greatest factor of 225 is 225.
4. What are the Factors of 229?
Answer: Factors of 229 are 1, 229. There are 2 integers that are factors of 229. The greatest factor of 229 is 229.
5. How to Find the LCM of 225 and 229?Answer:
Least Common Multiple of 225 and 229 = 51525
Step 1: Find the prime factorization of 225
225 = 3 x 3 x 5 x 5
Step 2: Find the prime factorization of 229
229 = 229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51525 = 3 x 3 x 5 x 5 x 229
Step 4: Therefore, the least common multiple of 225 and 229 is 51525.