LCM of 165 and 170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 165 and 170 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 5610 as output. Here you can check the answer for Find the LCM of 165 and 170.
What is LCM of 165 and 170
Given Numbers are 165, 170
We can find the LCM of 165, 170 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 165 and 170
Multiples of 165 =165,330,495,660,825,990,1155,1320,1485,1650,1815,1980,2145,2310,2475,2640,2805,
Multiples of 170 =170,340,510,680,850,1020,1190,1360,1530,1700,1870,2040,2210,2380,2550,2720,2890,
Now, get the least common multiple of 165, 170 which is 5610
So, the LCM of 165, 170 is 5610.
Least Common Multiple (LCM) of 165 and 170 with the help of Prime Factorisation
One method for determining the LCM of 165 and 170 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 165's prime factorization:
| 3 | 165 |
| 5 | 55 |
| 11 | 11 |
| 1 |
Prime factors of 165 are 3, 5,11.
165 = 31×51×111
And this is 170's prime factorization:
| 2 | 170 |
| 5 | 85 |
| 17 | 17 |
| 1 |
Prime factors of 170 are 2, 5,17.
170 = 21×51×171
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, 5,11, 2,17
.21×31×51×111×171 = 5610
This shows that the LCM of 165 and 170 is 5610.
How to Calculate the LCM of 165 and 170 Using Common Multiples
The first step in determining the Least Common Multiple of 165 and 170 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 165 and 170:
Lets look at the first ten multiples of these numbers, 165 and 170:
165,330,495,660,825,990,1155,1320,1485,2805 are the first ten multiples of 165.
170,340,510,680,850,1020,1190,1360,1530,2890 are the first ten multiples of 170.
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 165 and 170, for example, are 1980, 2805, and 2720. 5610 is the least common multiple since it is the smallest.
165 and 170 have an LCM of 5610.
Least Common Multiple of 165 and 170 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 165 and 170, than apply into the LCM equation.
GCF(165,170) = 5
LCM(165,170) = ( 165 × 170) / 5
LCM(165,170) = 28050 / 5
LCM(165,170) = 5610
Related Least Common Multiples of 165
Related Least Common Multiples of 170
Frequently Asked Questions on LCM of 165 and 170
1. What is the LCM of 165 and 170?
The LCM of 165 and 170 is 5610.
2. How to find the lowest common multiple of 165 and 170?
To find the lowest common multiple of 165 and 170, we have to get the multip;es of both numbers and identify the least common multiple in them which is 5610.
3. 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.
4. What are the Factors of 170?
Answer: Factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170. There are 8 integers that are factors of 170. The greatest factor of 170 is 170.
5. How to Find the LCM of 165 and 170?Answer:
Least Common Multiple of 165 and 170 = 5610
Step 1: Find the prime factorization of 165
165 = 3 x 5 x 11
Step 2: Find the prime factorization of 170
170 = 2 x 5 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5610 = 2 x 3 x 5 x 11 x 17
Step 4: Therefore, the least common multiple of 165 and 170 is 5610.