LCM of 269 and 273
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 269 and 273 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 73437 as output. Here you can check the answer for Find the LCM of 269 and 273.
What is LCM of 269 and 273
Given Numbers are 269, 273
We can find the LCM of 269, 273 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 269 and 273
Multiples of 269 =269,538,807,1076,1345,1614,1883,2152,2421,2690,2959,3228,3497,3766,4035,4304,4573,
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 269, 273 which is 73437
So, the LCM of 269, 273 is 73437.
Least Common Multiple (LCM) of 269 and 273 with the help of Prime Factorisation
One method for determining the LCM of 269 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 269's prime factorization:
| 269 | 269 |
| 1 |
Prime factors of 269 are 269.
269 = 2691
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:269, 3, 7,13
.31×71×131×2691 = 73437
This shows that the LCM of 269 and 273 is 73437.
How to Calculate the LCM of 269 and 273 Using Common Multiples
The first step in determining the Least Common Multiple of 269 and 273 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 269 and 273:
Lets look at the first ten multiples of these numbers, 269 and 273:
269,538,807,1076,1345,1614,1883,2152,2421,4573 are the first ten multiples of 269.
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 269 and 273, for example, are 3228, 4573, and 4368. 73437 is the least common multiple since it is the smallest.
269 and 273 have an LCM of 73437.
Least Common Multiple of 269 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 269 and 273, than apply into the LCM equation.
GCF(269,273) = 1
LCM(269,273) = ( 269 × 273) / 1
LCM(269,273) = 73437 / 1
LCM(269,273) = 73437
Related Least Common Multiples of 269
Related Least Common Multiples of 273
Frequently Asked Questions on LCM of 269 and 273
1. What is the LCM of 269 and 273?
The LCM of 269 and 273 is 73437.
2. How to find the lowest common multiple of 269 and 273?
To find the lowest common multiple of 269 and 273, we have to get the multip;es of both numbers and identify the least common multiple in them which is 73437.
3. What are the Factors of 269?
Answer: Factors of 269 are 1, 269. There are 2 integers that are factors of 269. The greatest factor of 269 is 269.
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 269 and 273?Answer:
Least Common Multiple of 269 and 273 = 73437
Step 1: Find the prime factorization of 269
269 = 269
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 = 73437 = 3 x 7 x 13 x 269
Step 4: Therefore, the least common multiple of 269 and 273 is 73437.