LCM of 159 and 165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 159 and 165 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 8745 as output. Here you can check the answer for Find the LCM of 159 and 165.
What is LCM of 159 and 165
Given Numbers are 159, 165
We can find the LCM of 159, 165 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 159 and 165
Multiples of 159 =159,318,477,636,795,954,1113,1272,1431,1590,1749,1908,2067,2226,2385,2544,2703,
Multiples of 165 =165,330,495,660,825,990,1155,1320,1485,1650,1815,1980,2145,2310,2475,2640,2805,
Now, get the least common multiple of 159, 165 which is 8745
So, the LCM of 159, 165 is 8745.
Least Common Multiple (LCM) of 159 and 165 with the help of Prime Factorisation
One method for determining the LCM of 159 and 165 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 159's prime factorization:
| 3 | 159 |
| 53 | 53 |
| 1 |
Prime factors of 159 are 3,53.
159 = 31×531
And this is 165's prime factorization:
| 3 | 165 |
| 5 | 55 |
| 11 | 11 |
| 1 |
Prime factors of 165 are 3, 5,11.
165 = 31×51×111
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: 3,53, 5,11
.31×51×111×531 = 8745
This shows that the LCM of 159 and 165 is 8745.
How to Calculate the LCM of 159 and 165 Using Common Multiples
The first step in determining the Least Common Multiple of 159 and 165 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 159 and 165:
Lets look at the first ten multiples of these numbers, 159 and 165:
159,318,477,636,795,954,1113,1272,1431,2703 are the first ten multiples of 159.
165,330,495,660,825,990,1155,1320,1485,2805 are the first ten multiples of 165.
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 159 and 165, for example, are 1908, 2703, and 2640. 8745 is the least common multiple since it is the smallest.
159 and 165 have an LCM of 8745.
Least Common Multiple of 159 and 165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 159 and 165, than apply into the LCM equation.
GCF(159,165) = 3
LCM(159,165) = ( 159 × 165) / 3
LCM(159,165) = 26235 / 3
LCM(159,165) = 8745
Related Least Common Multiples of 159
Related Least Common Multiples of 165
Frequently Asked Questions on LCM of 159 and 165
1. What is the LCM of 159 and 165?
The LCM of 159 and 165 is 8745.
2. How to find the lowest common multiple of 159 and 165?
To find the lowest common multiple of 159 and 165, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8745.
3. What are the Factors of 159?
Answer: Factors of 159 are 1, 3, 53, 159. There are 4 integers that are factors of 159. The greatest factor of 159 is 159.
4. What are the Factors of 165?
Answer: Factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165. There are 8 integers that are factors of 165. The greatest factor of 165 is 165.
5. How to Find the LCM of 159 and 165?Answer:
Least Common Multiple of 159 and 165 = 8745
Step 1: Find the prime factorization of 159
159 = 3 x 53
Step 2: Find the prime factorization of 165
165 = 3 x 5 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8745 = 3 x 5 x 11 x 53
Step 4: Therefore, the least common multiple of 159 and 165 is 8745.