LCM of 303 and 309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 303 and 309 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 31209 as output. Here you can check the answer for Find the LCM of 303 and 309.
What is LCM of 303 and 309
Given Numbers are 303, 309
We can find the LCM of 303, 309 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 303 and 309
Multiples of 303 =303,606,909,1212,1515,1818,2121,2424,2727,3030,3333,3636,3939,4242,4545,4848,5151,
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 303, 309 which is 31209
So, the LCM of 303, 309 is 31209.
Least Common Multiple (LCM) of 303 and 309 with the help of Prime Factorisation
One method for determining the LCM of 303 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 303's prime factorization:
| 3 | 303 |
| 101 | 101 |
| 1 |
Prime factors of 303 are 3,101.
303 = 31×1011
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: 3,101,103
.31×1011×1031 = 31209
This shows that the LCM of 303 and 309 is 31209.
How to Calculate the LCM of 303 and 309 Using Common Multiples
The first step in determining the Least Common Multiple of 303 and 309 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 303 and 309:
Lets look at the first ten multiples of these numbers, 303 and 309:
303,606,909,1212,1515,1818,2121,2424,2727,5151 are the first ten multiples of 303.
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 303 and 309, for example, are 3636, 5151, and 4944. 31209 is the least common multiple since it is the smallest.
303 and 309 have an LCM of 31209.
Least Common Multiple of 303 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 303 and 309, than apply into the LCM equation.
GCF(303,309) = 3
LCM(303,309) = ( 303 × 309) / 3
LCM(303,309) = 93627 / 3
LCM(303,309) = 31209
Related Least Common Multiples of 303
Related Least Common Multiples of 309
Frequently Asked Questions on LCM of 303 and 309
1. What is the LCM of 303 and 309?
The LCM of 303 and 309 is 31209.
2. How to find the lowest common multiple of 303 and 309?
To find the lowest common multiple of 303 and 309, we have to get the multip;es of both numbers and identify the least common multiple in them which is 31209.
3. What are the Factors of 303?
Answer: Factors of 303 are 1, 3, 101, 303. There are 4 integers that are factors of 303. The greatest factor of 303 is 303.
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 303 and 309?Answer:
Least Common Multiple of 303 and 309 = 31209
Step 1: Find the prime factorization of 303
303 = 3 x 101
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 = 31209 = 3 x 101 x 103
Step 4: Therefore, the least common multiple of 303 and 309 is 31209.