LCM of 337 and 345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 337 and 345 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 116265 as output. Here you can check the answer for Find the LCM of 337 and 345.
What is LCM of 337 and 345
Given Numbers are 337, 345
We can find the LCM of 337, 345 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 337 and 345
Multiples of 337 =337,674,1011,1348,1685,2022,2359,2696,3033,3370,3707,4044,4381,4718,5055,5392,5729,
Multiples of 345 =345,690,1035,1380,1725,2070,2415,2760,3105,3450,3795,4140,4485,4830,5175,5520,5865,
Now, get the least common multiple of 337, 345 which is 116265
So, the LCM of 337, 345 is 116265.
Least Common Multiple (LCM) of 337 and 345 with the help of Prime Factorisation
One method for determining the LCM of 337 and 345 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 337's prime factorization:
| 337 | 337 |
| 1 |
Prime factors of 337 are 337.
337 = 3371
And this is 345's prime factorization:
| 3 | 345 |
| 5 | 115 |
| 23 | 23 |
| 1 |
Prime factors of 345 are 3, 5,23.
345 = 31×51×231
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:337, 3, 5,23
.31×51×231×3371 = 116265
This shows that the LCM of 337 and 345 is 116265.
How to Calculate the LCM of 337 and 345 Using Common Multiples
The first step in determining the Least Common Multiple of 337 and 345 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 337 and 345:
Lets look at the first ten multiples of these numbers, 337 and 345:
337,674,1011,1348,1685,2022,2359,2696,3033,5729 are the first ten multiples of 337.
345,690,1035,1380,1725,2070,2415,2760,3105,5865 are the first ten multiples of 345.
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 337 and 345, for example, are 4044, 5729, and 5520. 116265 is the least common multiple since it is the smallest.
337 and 345 have an LCM of 116265.
Least Common Multiple of 337 and 345 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 337 and 345, than apply into the LCM equation.
GCF(337,345) = 1
LCM(337,345) = ( 337 × 345) / 1
LCM(337,345) = 116265 / 1
LCM(337,345) = 116265
Related Least Common Multiples of 337
Related Least Common Multiples of 345
Frequently Asked Questions on LCM of 337 and 345
1. What is the LCM of 337 and 345?
The LCM of 337 and 345 is 116265.
2. How to find the lowest common multiple of 337 and 345?
To find the lowest common multiple of 337 and 345, we have to get the multip;es of both numbers and identify the least common multiple in them which is 116265.
3. What are the Factors of 337?
Answer: Factors of 337 are 1, 337. There are 2 integers that are factors of 337. The greatest factor of 337 is 337.
4. What are the Factors of 345?
Answer: Factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345. There are 8 integers that are factors of 345. The greatest factor of 345 is 345.
5. How to Find the LCM of 337 and 345?Answer:
Least Common Multiple of 337 and 345 = 116265
Step 1: Find the prime factorization of 337
337 = 337
Step 2: Find the prime factorization of 345
345 = 3 x 5 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 = 116265 = 3 x 5 x 23 x 337
Step 4: Therefore, the least common multiple of 337 and 345 is 116265.