LCM of 272 and 279
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 272 and 279 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 75888 as output. Here you can check the answer for Find the LCM of 272 and 279.
What is LCM of 272 and 279
Given Numbers are 272, 279
We can find the LCM of 272, 279 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 272 and 279
Multiples of 272 =272,544,816,1088,1360,1632,1904,2176,2448,2720,2992,3264,3536,3808,4080,4352,4624,
Multiples of 279 =279,558,837,1116,1395,1674,1953,2232,2511,2790,3069,3348,3627,3906,4185,4464,4743,
Now, get the least common multiple of 272, 279 which is 75888
So, the LCM of 272, 279 is 75888.
Least Common Multiple (LCM) of 272 and 279 with the help of Prime Factorisation
One method for determining the LCM of 272 and 279 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 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
And this is 279's prime factorization:
| 3 | 279 |
| 3 | 93 |
| 31 | 31 |
| 1 |
Prime factors of 279 are 3,31.
279 = 32×311
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: 2,17, 3,31
.24×32×171×311 = 75888
This shows that the LCM of 272 and 279 is 75888.
How to Calculate the LCM of 272 and 279 Using Common Multiples
The first step in determining the Least Common Multiple of 272 and 279 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 272 and 279:
Lets look at the first ten multiples of these numbers, 272 and 279:
272,544,816,1088,1360,1632,1904,2176,2448,4624 are the first ten multiples of 272.
279,558,837,1116,1395,1674,1953,2232,2511,4743 are the first ten multiples of 279.
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 272 and 279, for example, are 3264, 4624, and 4464. 75888 is the least common multiple since it is the smallest.
272 and 279 have an LCM of 75888.
Least Common Multiple of 272 and 279 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 272 and 279, than apply into the LCM equation.
GCF(272,279) = 1
LCM(272,279) = ( 272 × 279) / 1
LCM(272,279) = 75888 / 1
LCM(272,279) = 75888
Related Least Common Multiples of 272
Related Least Common Multiples of 279
Frequently Asked Questions on LCM of 272 and 279
1. What is the LCM of 272 and 279?
The LCM of 272 and 279 is 75888.
2. How to find the lowest common multiple of 272 and 279?
To find the lowest common multiple of 272 and 279, we have to get the multip;es of both numbers and identify the least common multiple in them which is 75888.
3. 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.
4. What are the Factors of 279?
Answer: Factors of 279 are 1, 3, 9, 31, 93, 279. There are 6 integers that are factors of 279. The greatest factor of 279 is 279.
5. How to Find the LCM of 272 and 279?Answer:
Least Common Multiple of 272 and 279 = 75888
Step 1: Find the prime factorization of 272
272 = 2 x 2 x 2 x 2 x 17
Step 2: Find the prime factorization of 279
279 = 3 x 3 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 75888 = 2 x 2 x 2 x 2 x 3 x 3 x 17 x 31
Step 4: Therefore, the least common multiple of 272 and 279 is 75888.