LCM of 165 and 173
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 165 and 173 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 28545 as output. Here you can check the answer for Find the LCM of 165 and 173.
What is LCM of 165 and 173
Given Numbers are 165, 173
We can find the LCM of 165, 173 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 165 and 173
Multiples of 165 =165,330,495,660,825,990,1155,1320,1485,1650,1815,1980,2145,2310,2475,2640,2805,
Multiples of 173 =173,346,519,692,865,1038,1211,1384,1557,1730,1903,2076,2249,2422,2595,2768,2941,
Now, get the least common multiple of 165, 173 which is 28545
So, the LCM of 165, 173 is 28545.
Least Common Multiple (LCM) of 165 and 173 with the help of Prime Factorisation
One method for determining the LCM of 165 and 173 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 173's prime factorization:
| 173 | 173 |
| 1 |
Prime factors of 173 are 173.
173 = 1731
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, 5,11,173
.31×51×111×1731 = 28545
This shows that the LCM of 165 and 173 is 28545.
How to Calculate the LCM of 165 and 173 Using Common Multiples
The first step in determining the Least Common Multiple of 165 and 173 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 165 and 173:
Lets look at the first ten multiples of these numbers, 165 and 173:
165,330,495,660,825,990,1155,1320,1485,2805 are the first ten multiples of 165.
173,346,519,692,865,1038,1211,1384,1557,2941 are the first ten multiples of 173.
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 173, for example, are 1980, 2805, and 2768. 28545 is the least common multiple since it is the smallest.
165 and 173 have an LCM of 28545.
Least Common Multiple of 165 and 173 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 173, than apply into the LCM equation.
GCF(165,173) = 1
LCM(165,173) = ( 165 × 173) / 1
LCM(165,173) = 28545 / 1
LCM(165,173) = 28545
Related Least Common Multiples of 165
Related Least Common Multiples of 173
Frequently Asked Questions on LCM of 165 and 173
1. What is the LCM of 165 and 173?
The LCM of 165 and 173 is 28545.
2. How to find the lowest common multiple of 165 and 173?
To find the lowest common multiple of 165 and 173, we have to get the multip;es of both numbers and identify the least common multiple in them which is 28545.
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 173?
Answer: Factors of 173 are 1, 173. There are 2 integers that are factors of 173. The greatest factor of 173 is 173.
5. How to Find the LCM of 165 and 173?Answer:
Least Common Multiple of 165 and 173 = 28545
Step 1: Find the prime factorization of 165
165 = 3 x 5 x 11
Step 2: Find the prime factorization of 173
173 = 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28545 = 3 x 5 x 11 x 173
Step 4: Therefore, the least common multiple of 165 and 173 is 28545.