LCM of 291 and 299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 291 and 299 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 87009 as output. Here you can check the answer for Find the LCM of 291 and 299.
What is LCM of 291 and 299
Given Numbers are 291, 299
We can find the LCM of 291, 299 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 291 and 299
Multiples of 291 =291,582,873,1164,1455,1746,2037,2328,2619,2910,3201,3492,3783,4074,4365,4656,4947,
Multiples of 299 =299,598,897,1196,1495,1794,2093,2392,2691,2990,3289,3588,3887,4186,4485,4784,5083,
Now, get the least common multiple of 291, 299 which is 87009
So, the LCM of 291, 299 is 87009.
Least Common Multiple (LCM) of 291 and 299 with the help of Prime Factorisation
One method for determining the LCM of 291 and 299 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 291's prime factorization:
| 3 | 291 |
| 97 | 97 |
| 1 |
Prime factors of 291 are 3,97.
291 = 31×971
And this is 299's prime factorization:
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 299 are 13,23.
299 = 131×231
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: 3,97, 13,23
.31×131×231×971 = 87009
This shows that the LCM of 291 and 299 is 87009.
How to Calculate the LCM of 291 and 299 Using Common Multiples
The first step in determining the Least Common Multiple of 291 and 299 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 291 and 299:
Lets look at the first ten multiples of these numbers, 291 and 299:
291,582,873,1164,1455,1746,2037,2328,2619,4947 are the first ten multiples of 291.
299,598,897,1196,1495,1794,2093,2392,2691,5083 are the first ten multiples of 299.
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 291 and 299, for example, are 3492, 4947, and 4784. 87009 is the least common multiple since it is the smallest.
291 and 299 have an LCM of 87009.
Least Common Multiple of 291 and 299 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 291 and 299, than apply into the LCM equation.
GCF(291,299) = 1
LCM(291,299) = ( 291 × 299) / 1
LCM(291,299) = 87009 / 1
LCM(291,299) = 87009
Related Least Common Multiples of 291
Related Least Common Multiples of 299
Frequently Asked Questions on LCM of 291 and 299
1. What is the LCM of 291 and 299?
The LCM of 291 and 299 is 87009.
2. How to find the lowest common multiple of 291 and 299?
To find the lowest common multiple of 291 and 299, we have to get the multip;es of both numbers and identify the least common multiple in them which is 87009.
3. What are the Factors of 291?
Answer: Factors of 291 are 1, 3, 97, 291. There are 4 integers that are factors of 291. The greatest factor of 291 is 291.
4. What are the Factors of 299?
Answer: Factors of 299 are 1, 13, 23, 299. There are 4 integers that are factors of 299. The greatest factor of 299 is 299.
5. How to Find the LCM of 291 and 299?Answer:
Least Common Multiple of 291 and 299 = 87009
Step 1: Find the prime factorization of 291
291 = 3 x 97
Step 2: Find the prime factorization of 299
299 = 13 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87009 = 3 x 13 x 23 x 97
Step 4: Therefore, the least common multiple of 291 and 299 is 87009.