LCM of 252 and 258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 252 and 258 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 10836 as output. Here you can check the answer for Find the LCM of 252 and 258.
What is LCM of 252 and 258
Given Numbers are 252, 258
We can find the LCM of 252, 258 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 252 and 258
Multiples of 252 =252,504,756,1008,1260,1512,1764,2016,2268,2520,2772,3024,3276,3528,3780,4032,4284,
Multiples of 258 =258,516,774,1032,1290,1548,1806,2064,2322,2580,2838,3096,3354,3612,3870,4128,4386,
Now, get the least common multiple of 252, 258 which is 10836
So, the LCM of 252, 258 is 10836.
Least Common Multiple (LCM) of 252 and 258 with the help of Prime Factorisation
One method for determining the LCM of 252 and 258 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 252's prime factorization:
| 2 | 252 |
| 2 | 126 |
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 252 are 2, 3,7.
252 = 22×32×71
And this is 258's prime factorization:
| 2 | 258 |
| 3 | 129 |
| 43 | 43 |
| 1 |
Prime factors of 258 are 2, 3,43.
258 = 21×31×431
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, 3,7,43
.22×32×71×431 = 10836
This shows that the LCM of 252 and 258 is 10836.
How to Calculate the LCM of 252 and 258 Using Common Multiples
The first step in determining the Least Common Multiple of 252 and 258 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 252 and 258:
Lets look at the first ten multiples of these numbers, 252 and 258:
252,504,756,1008,1260,1512,1764,2016,2268,4284 are the first ten multiples of 252.
258,516,774,1032,1290,1548,1806,2064,2322,4386 are the first ten multiples of 258.
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 252 and 258, for example, are 3024, 4284, and 4128. 10836 is the least common multiple since it is the smallest.
252 and 258 have an LCM of 10836.
Least Common Multiple of 252 and 258 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 252 and 258, than apply into the LCM equation.
GCF(252,258) = 6
LCM(252,258) = ( 252 × 258) / 6
LCM(252,258) = 65016 / 6
LCM(252,258) = 10836
Related Least Common Multiples of 252
Related Least Common Multiples of 258
Frequently Asked Questions on LCM of 252 and 258
1. What is the LCM of 252 and 258?
The LCM of 252 and 258 is 10836.
2. How to find the lowest common multiple of 252 and 258?
To find the lowest common multiple of 252 and 258, we have to get the multip;es of both numbers and identify the least common multiple in them which is 10836.
3. What are the Factors of 252?
Answer: Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. There are 18 integers that are factors of 252. The greatest factor of 252 is 252.
4. What are the Factors of 258?
Answer: Factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258. There are 8 integers that are factors of 258. The greatest factor of 258 is 258.
5. How to Find the LCM of 252 and 258?Answer:
Least Common Multiple of 252 and 258 = 10836
Step 1: Find the prime factorization of 252
252 = 2 x 2 x 3 x 3 x 7
Step 2: Find the prime factorization of 258
258 = 2 x 3 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10836 = 2 x 2 x 3 x 3 x 7 x 43
Step 4: Therefore, the least common multiple of 252 and 258 is 10836.