LCM of 253 and 258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 253 and 258 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 65274 as output. Here you can check the answer for Find the LCM of 253 and 258.
What is LCM of 253 and 258
Given Numbers are 253, 258
We can find the LCM of 253, 258 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 253 and 258
Multiples of 253 =253,506,759,1012,1265,1518,1771,2024,2277,2530,2783,3036,3289,3542,3795,4048,4301,
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 253, 258 which is 65274
So, the LCM of 253, 258 is 65274.
Least Common Multiple (LCM) of 253 and 258 with the help of Prime Factorisation
One method for determining the LCM of 253 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 253's prime factorization:
| 11 | 253 |
| 23 | 23 |
| 1 |
Prime factors of 253 are 11,23.
253 = 111×231
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: 11,23, 2, 3,43
.21×31×111×231×431 = 65274
This shows that the LCM of 253 and 258 is 65274.
How to Calculate the LCM of 253 and 258 Using Common Multiples
The first step in determining the Least Common Multiple of 253 and 258 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 253 and 258:
Lets look at the first ten multiples of these numbers, 253 and 258:
253,506,759,1012,1265,1518,1771,2024,2277,4301 are the first ten multiples of 253.
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 253 and 258, for example, are 3036, 4301, and 4128. 65274 is the least common multiple since it is the smallest.
253 and 258 have an LCM of 65274.
Least Common Multiple of 253 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 253 and 258, than apply into the LCM equation.
GCF(253,258) = 1
LCM(253,258) = ( 253 × 258) / 1
LCM(253,258) = 65274 / 1
LCM(253,258) = 65274
Related Least Common Multiples of 253
Related Least Common Multiples of 258
Frequently Asked Questions on LCM of 253 and 258
1. What is the LCM of 253 and 258?
The LCM of 253 and 258 is 65274.
2. How to find the lowest common multiple of 253 and 258?
To find the lowest common multiple of 253 and 258, we have to get the multip;es of both numbers and identify the least common multiple in them which is 65274.
3. What are the Factors of 253?
Answer: Factors of 253 are 1, 11, 23, 253. There are 4 integers that are factors of 253. The greatest factor of 253 is 253.
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 253 and 258?Answer:
Least Common Multiple of 253 and 258 = 65274
Step 1: Find the prime factorization of 253
253 = 11 x 23
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 = 65274 = 2 x 3 x 11 x 23 x 43
Step 4: Therefore, the least common multiple of 253 and 258 is 65274.