LCM of 265 and 272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 265 and 272 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 72080 as output. Here you can check the answer for Find the LCM of 265 and 272.
What is LCM of 265 and 272
Given Numbers are 265, 272
We can find the LCM of 265, 272 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 265 and 272
Multiples of 265 =265,530,795,1060,1325,1590,1855,2120,2385,2650,2915,3180,3445,3710,3975,4240,4505,
Multiples of 272 =272,544,816,1088,1360,1632,1904,2176,2448,2720,2992,3264,3536,3808,4080,4352,4624,
Now, get the least common multiple of 265, 272 which is 72080
So, the LCM of 265, 272 is 72080.
Least Common Multiple (LCM) of 265 and 272 with the help of Prime Factorisation
One method for determining the LCM of 265 and 272 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 272's prime factorization:
| 2 | 272 |
| 2 | 136 |
| 2 | 68 |
| 2 | 34 |
| 17 | 17 |
| 1 |
Prime factors of 272 are 2,17.
272 = 24×171
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, 2,17
.24×51×171×531 = 72080
This shows that the LCM of 265 and 272 is 72080.
How to Calculate the LCM of 265 and 272 Using Common Multiples
The first step in determining the Least Common Multiple of 265 and 272 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 265 and 272:
Lets look at the first ten multiples of these numbers, 265 and 272:
265,530,795,1060,1325,1590,1855,2120,2385,4505 are the first ten multiples of 265.
272,544,816,1088,1360,1632,1904,2176,2448,4624 are the first ten multiples of 272.
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 272, for example, are 3180, 4505, and 4352. 72080 is the least common multiple since it is the smallest.
265 and 272 have an LCM of 72080.
Least Common Multiple of 265 and 272 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 272, than apply into the LCM equation.
GCF(265,272) = 1
LCM(265,272) = ( 265 × 272) / 1
LCM(265,272) = 72080 / 1
LCM(265,272) = 72080
Related Least Common Multiples of 265
Related Least Common Multiples of 272
Frequently Asked Questions on LCM of 265 and 272
1. What is the LCM of 265 and 272?
The LCM of 265 and 272 is 72080.
2. How to find the lowest common multiple of 265 and 272?
To find the lowest common multiple of 265 and 272, we have to get the multip;es of both numbers and identify the least common multiple in them which is 72080.
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 272?
Answer: Factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272. There are 10 integers that are factors of 272. The greatest factor of 272 is 272.
5. How to Find the LCM of 265 and 272?Answer:
Least Common Multiple of 265 and 272 = 72080
Step 1: Find the prime factorization of 265
265 = 5 x 53
Step 2: Find the prime factorization of 272
272 = 2 x 2 x 2 x 2 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72080 = 2 x 2 x 2 x 2 x 5 x 17 x 53
Step 4: Therefore, the least common multiple of 265 and 272 is 72080.