LCM of 301 and 309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 301 and 309 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 93009 as output. Here you can check the answer for Find the LCM of 301 and 309.
What is LCM of 301 and 309
Given Numbers are 301, 309
We can find the LCM of 301, 309 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 301 and 309
Multiples of 301 =301,602,903,1204,1505,1806,2107,2408,2709,3010,3311,3612,3913,4214,4515,4816,5117,
Multiples of 309 =309,618,927,1236,1545,1854,2163,2472,2781,3090,3399,3708,4017,4326,4635,4944,5253,
Now, get the least common multiple of 301, 309 which is 93009
So, the LCM of 301, 309 is 93009.
Least Common Multiple (LCM) of 301 and 309 with the help of Prime Factorisation
One method for determining the LCM of 301 and 309 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 301's prime factorization:
| 7 | 301 |
| 43 | 43 |
| 1 |
Prime factors of 301 are 7,43.
301 = 71×431
And this is 309's prime factorization:
| 3 | 309 |
| 103 | 103 |
| 1 |
Prime factors of 309 are 3,103.
309 = 31×1031
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: 7,43, 3,103
.31×71×431×1031 = 93009
This shows that the LCM of 301 and 309 is 93009.
How to Calculate the LCM of 301 and 309 Using Common Multiples
The first step in determining the Least Common Multiple of 301 and 309 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 301 and 309:
Lets look at the first ten multiples of these numbers, 301 and 309:
301,602,903,1204,1505,1806,2107,2408,2709,5117 are the first ten multiples of 301.
309,618,927,1236,1545,1854,2163,2472,2781,5253 are the first ten multiples of 309.
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 301 and 309, for example, are 3612, 5117, and 4944. 93009 is the least common multiple since it is the smallest.
301 and 309 have an LCM of 93009.
Least Common Multiple of 301 and 309 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 301 and 309, than apply into the LCM equation.
GCF(301,309) = 1
LCM(301,309) = ( 301 × 309) / 1
LCM(301,309) = 93009 / 1
LCM(301,309) = 93009
Related Least Common Multiples of 301
Related Least Common Multiples of 309
Frequently Asked Questions on LCM of 301 and 309
1. What is the LCM of 301 and 309?
The LCM of 301 and 309 is 93009.
2. How to find the lowest common multiple of 301 and 309?
To find the lowest common multiple of 301 and 309, we have to get the multip;es of both numbers and identify the least common multiple in them which is 93009.
3. What are the Factors of 301?
Answer: Factors of 301 are 1, 7, 43, 301. There are 4 integers that are factors of 301. The greatest factor of 301 is 301.
4. What are the Factors of 309?
Answer: Factors of 309 are 1, 3, 103, 309. There are 4 integers that are factors of 309. The greatest factor of 309 is 309.
5. How to Find the LCM of 301 and 309?Answer:
Least Common Multiple of 301 and 309 = 93009
Step 1: Find the prime factorization of 301
301 = 7 x 43
Step 2: Find the prime factorization of 309
309 = 3 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93009 = 3 x 7 x 43 x 103
Step 4: Therefore, the least common multiple of 301 and 309 is 93009.