LCM of 166 and 171
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 166 and 171 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 28386 as output. Here you can check the answer for Find the LCM of 166 and 171.
What is LCM of 166 and 171
Given Numbers are 166, 171
We can find the LCM of 166, 171 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 166 and 171
Multiples of 166 =166,332,498,664,830,996,1162,1328,1494,1660,1826,1992,2158,2324,2490,2656,2822,
Multiples of 171 =171,342,513,684,855,1026,1197,1368,1539,1710,1881,2052,2223,2394,2565,2736,2907,
Now, get the least common multiple of 166, 171 which is 28386
So, the LCM of 166, 171 is 28386.
Least Common Multiple (LCM) of 166 and 171 with the help of Prime Factorisation
One method for determining the LCM of 166 and 171 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 166's prime factorization:
| 2 | 166 |
| 83 | 83 |
| 1 |
Prime factors of 166 are 2,83.
166 = 21×831
And this is 171's prime factorization:
| 3 | 171 |
| 3 | 57 |
| 19 | 19 |
| 1 |
Prime factors of 171 are 3,19.
171 = 32×191
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: 2,83, 3,19
.21×32×191×831 = 28386
This shows that the LCM of 166 and 171 is 28386.
How to Calculate the LCM of 166 and 171 Using Common Multiples
The first step in determining the Least Common Multiple of 166 and 171 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 166 and 171:
Lets look at the first ten multiples of these numbers, 166 and 171:
166,332,498,664,830,996,1162,1328,1494,2822 are the first ten multiples of 166.
171,342,513,684,855,1026,1197,1368,1539,2907 are the first ten multiples of 171.
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 166 and 171, for example, are 1992, 2822, and 2736. 28386 is the least common multiple since it is the smallest.
166 and 171 have an LCM of 28386.
Least Common Multiple of 166 and 171 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 166 and 171, than apply into the LCM equation.
GCF(166,171) = 1
LCM(166,171) = ( 166 × 171) / 1
LCM(166,171) = 28386 / 1
LCM(166,171) = 28386
Related Least Common Multiples of 166
Related Least Common Multiples of 171
Frequently Asked Questions on LCM of 166 and 171
1. What is the LCM of 166 and 171?
The LCM of 166 and 171 is 28386.
2. How to find the lowest common multiple of 166 and 171?
To find the lowest common multiple of 166 and 171, we have to get the multip;es of both numbers and identify the least common multiple in them which is 28386.
3. What are the Factors of 166?
Answer: Factors of 166 are 1, 2, 83, 166. There are 4 integers that are factors of 166. The greatest factor of 166 is 166.
4. What are the Factors of 171?
Answer: Factors of 171 are 1, 3, 9, 19, 57, 171. There are 6 integers that are factors of 171. The greatest factor of 171 is 171.
5. How to Find the LCM of 166 and 171?Answer:
Least Common Multiple of 166 and 171 = 28386
Step 1: Find the prime factorization of 166
166 = 2 x 83
Step 2: Find the prime factorization of 171
171 = 3 x 3 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28386 = 2 x 3 x 3 x 19 x 83
Step 4: Therefore, the least common multiple of 166 and 171 is 28386.