LCM of 254 and 262
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 254 and 262 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 33274 as output. Here you can check the answer for Find the LCM of 254 and 262.
What is LCM of 254 and 262
Given Numbers are 254, 262
We can find the LCM of 254, 262 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 254 and 262
Multiples of 254 =254,508,762,1016,1270,1524,1778,2032,2286,2540,2794,3048,3302,3556,3810,4064,4318,
Multiples of 262 =262,524,786,1048,1310,1572,1834,2096,2358,2620,2882,3144,3406,3668,3930,4192,4454,
Now, get the least common multiple of 254, 262 which is 33274
So, the LCM of 254, 262 is 33274.
Least Common Multiple (LCM) of 254 and 262 with the help of Prime Factorisation
One method for determining the LCM of 254 and 262 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 254's prime factorization:
| 2 | 254 |
| 127 | 127 |
| 1 |
Prime factors of 254 are 2,127.
254 = 21×1271
And this is 262's prime factorization:
| 2 | 262 |
| 131 | 131 |
| 1 |
Prime factors of 262 are 2,131.
262 = 21×1311
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: 2,127,131
.21×1271×1311 = 33274
This shows that the LCM of 254 and 262 is 33274.
How to Calculate the LCM of 254 and 262 Using Common Multiples
The first step in determining the Least Common Multiple of 254 and 262 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 254 and 262:
Lets look at the first ten multiples of these numbers, 254 and 262:
254,508,762,1016,1270,1524,1778,2032,2286,4318 are the first ten multiples of 254.
262,524,786,1048,1310,1572,1834,2096,2358,4454 are the first ten multiples of 262.
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 254 and 262, for example, are 3048, 4318, and 4192. 33274 is the least common multiple since it is the smallest.
254 and 262 have an LCM of 33274.
Least Common Multiple of 254 and 262 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 254 and 262, than apply into the LCM equation.
GCF(254,262) = 2
LCM(254,262) = ( 254 × 262) / 2
LCM(254,262) = 66548 / 2
LCM(254,262) = 33274
Related Least Common Multiples of 254
Related Least Common Multiples of 262
Frequently Asked Questions on LCM of 254 and 262
1. What is the LCM of 254 and 262?
The LCM of 254 and 262 is 33274.
2. How to find the lowest common multiple of 254 and 262?
To find the lowest common multiple of 254 and 262, we have to get the multip;es of both numbers and identify the least common multiple in them which is 33274.
3. What are the Factors of 254?
Answer: Factors of 254 are 1, 2, 127, 254. There are 4 integers that are factors of 254. The greatest factor of 254 is 254.
4. What are the Factors of 262?
Answer: Factors of 262 are 1, 2, 131, 262. There are 4 integers that are factors of 262. The greatest factor of 262 is 262.
5. How to Find the LCM of 254 and 262?Answer:
Least Common Multiple of 254 and 262 = 33274
Step 1: Find the prime factorization of 254
254 = 2 x 127
Step 2: Find the prime factorization of 262
262 = 2 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33274 = 2 x 127 x 131
Step 4: Therefore, the least common multiple of 254 and 262 is 33274.