LCM of 265 and 273
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 265 and 273 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 72345 as output. Here you can check the answer for Find the LCM of 265 and 273.
What is LCM of 265 and 273
Given Numbers are 265, 273
We can find the LCM of 265, 273 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 265 and 273
Multiples of 265 =265,530,795,1060,1325,1590,1855,2120,2385,2650,2915,3180,3445,3710,3975,4240,4505,
Multiples of 273 =273,546,819,1092,1365,1638,1911,2184,2457,2730,3003,3276,3549,3822,4095,4368,4641,
Now, get the least common multiple of 265, 273 which is 72345
So, the LCM of 265, 273 is 72345.
Least Common Multiple (LCM) of 265 and 273 with the help of Prime Factorisation
One method for determining the LCM of 265 and 273 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 265's prime factorization:
| 5 | 265 |
| 53 | 53 |
| 1 |
Prime factors of 265 are 5,53.
265 = 51×531
And this is 273's prime factorization:
| 3 | 273 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 273 are 3, 7,13.
273 = 31×71×131
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: 5,53, 3, 7,13
.31×51×71×131×531 = 72345
This shows that the LCM of 265 and 273 is 72345.
How to Calculate the LCM of 265 and 273 Using Common Multiples
The first step in determining the Least Common Multiple of 265 and 273 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 265 and 273:
Lets look at the first ten multiples of these numbers, 265 and 273:
265,530,795,1060,1325,1590,1855,2120,2385,4505 are the first ten multiples of 265.
273,546,819,1092,1365,1638,1911,2184,2457,4641 are the first ten multiples of 273.
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 265 and 273, for example, are 3180, 4505, and 4368. 72345 is the least common multiple since it is the smallest.
265 and 273 have an LCM of 72345.
Least Common Multiple of 265 and 273 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 265 and 273, than apply into the LCM equation.
GCF(265,273) = 1
LCM(265,273) = ( 265 × 273) / 1
LCM(265,273) = 72345 / 1
LCM(265,273) = 72345
Related Least Common Multiples of 265
Related Least Common Multiples of 273
Frequently Asked Questions on LCM of 265 and 273
1. What is the LCM of 265 and 273?
The LCM of 265 and 273 is 72345.
2. How to find the lowest common multiple of 265 and 273?
To find the lowest common multiple of 265 and 273, we have to get the multip;es of both numbers and identify the least common multiple in them which is 72345.
3. What are the Factors of 265?
Answer: Factors of 265 are 1, 5, 53, 265. There are 4 integers that are factors of 265. The greatest factor of 265 is 265.
4. What are the Factors of 273?
Answer: Factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273. There are 8 integers that are factors of 273. The greatest factor of 273 is 273.
5. How to Find the LCM of 265 and 273?Answer:
Least Common Multiple of 265 and 273 = 72345
Step 1: Find the prime factorization of 265
265 = 5 x 53
Step 2: Find the prime factorization of 273
273 = 3 x 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72345 = 3 x 5 x 7 x 13 x 53
Step 4: Therefore, the least common multiple of 265 and 273 is 72345.