LCM of 171 and 177
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 171 and 177 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 10089 as output. Here you can check the answer for Find the LCM of 171 and 177.
What is LCM of 171 and 177
Given Numbers are 171, 177
We can find the LCM of 171, 177 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 171 and 177
Multiples of 171 =171,342,513,684,855,1026,1197,1368,1539,1710,1881,2052,2223,2394,2565,2736,2907,
Multiples of 177 =177,354,531,708,885,1062,1239,1416,1593,1770,1947,2124,2301,2478,2655,2832,3009,
Now, get the least common multiple of 171, 177 which is 10089
So, the LCM of 171, 177 is 10089.
Least Common Multiple (LCM) of 171 and 177 with the help of Prime Factorisation
One method for determining the LCM of 171 and 177 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 171's prime factorization:
| 3 | 171 |
| 3 | 57 |
| 19 | 19 |
| 1 |
Prime factors of 171 are 3,19.
171 = 32×191
And this is 177's prime factorization:
| 3 | 177 |
| 59 | 59 |
| 1 |
Prime factors of 177 are 3,59.
177 = 31×591
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: 3,19,59
.32×191×591 = 10089
This shows that the LCM of 171 and 177 is 10089.
How to Calculate the LCM of 171 and 177 Using Common Multiples
The first step in determining the Least Common Multiple of 171 and 177 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 171 and 177:
Lets look at the first ten multiples of these numbers, 171 and 177:
171,342,513,684,855,1026,1197,1368,1539,2907 are the first ten multiples of 171.
177,354,531,708,885,1062,1239,1416,1593,3009 are the first ten multiples of 177.
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 171 and 177, for example, are 2052, 2907, and 2832. 10089 is the least common multiple since it is the smallest.
171 and 177 have an LCM of 10089.
Least Common Multiple of 171 and 177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 171 and 177, than apply into the LCM equation.
GCF(171,177) = 3
LCM(171,177) = ( 171 × 177) / 3
LCM(171,177) = 30267 / 3
LCM(171,177) = 10089
Related Least Common Multiples of 171
Related Least Common Multiples of 177
Frequently Asked Questions on LCM of 171 and 177
1. What is the LCM of 171 and 177?
The LCM of 171 and 177 is 10089.
2. How to find the lowest common multiple of 171 and 177?
To find the lowest common multiple of 171 and 177, we have to get the multip;es of both numbers and identify the least common multiple in them which is 10089.
3. 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.
4. What are the Factors of 177?
Answer: Factors of 177 are 1, 3, 59, 177. There are 4 integers that are factors of 177. The greatest factor of 177 is 177.
5. How to Find the LCM of 171 and 177?Answer:
Least Common Multiple of 171 and 177 = 10089
Step 1: Find the prime factorization of 171
171 = 3 x 3 x 19
Step 2: Find the prime factorization of 177
177 = 3 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10089 = 3 x 3 x 19 x 59
Step 4: Therefore, the least common multiple of 171 and 177 is 10089.