LCM of 177 and 184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 177 and 184 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 32568 as output. Here you can check the answer for Find the LCM of 177 and 184.
What is LCM of 177 and 184
Given Numbers are 177, 184
We can find the LCM of 177, 184 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 177 and 184
Multiples of 177 =177,354,531,708,885,1062,1239,1416,1593,1770,1947,2124,2301,2478,2655,2832,3009,
Multiples of 184 =184,368,552,736,920,1104,1288,1472,1656,1840,2024,2208,2392,2576,2760,2944,3128,
Now, get the least common multiple of 177, 184 which is 32568
So, the LCM of 177, 184 is 32568.
Least Common Multiple (LCM) of 177 and 184 with the help of Prime Factorisation
One method for determining the LCM of 177 and 184 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 177's prime factorization:
| 3 | 177 |
| 59 | 59 |
| 1 |
Prime factors of 177 are 3,59.
177 = 31×591
And this is 184's prime factorization:
| 2 | 184 |
| 2 | 92 |
| 2 | 46 |
| 23 | 23 |
| 1 |
Prime factors of 184 are 2,23.
184 = 23×231
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: 3,59, 2,23
.23×31×231×591 = 32568
This shows that the LCM of 177 and 184 is 32568.
How to Calculate the LCM of 177 and 184 Using Common Multiples
The first step in determining the Least Common Multiple of 177 and 184 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 177 and 184:
Lets look at the first ten multiples of these numbers, 177 and 184:
177,354,531,708,885,1062,1239,1416,1593,3009 are the first ten multiples of 177.
184,368,552,736,920,1104,1288,1472,1656,3128 are the first ten multiples of 184.
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 177 and 184, for example, are 2124, 3009, and 2944. 32568 is the least common multiple since it is the smallest.
177 and 184 have an LCM of 32568.
Least Common Multiple of 177 and 184 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 177 and 184, than apply into the LCM equation.
GCF(177,184) = 1
LCM(177,184) = ( 177 × 184) / 1
LCM(177,184) = 32568 / 1
LCM(177,184) = 32568
Related Least Common Multiples of 177
Related Least Common Multiples of 184
Frequently Asked Questions on LCM of 177 and 184
1. What is the LCM of 177 and 184?
The LCM of 177 and 184 is 32568.
2. How to find the lowest common multiple of 177 and 184?
To find the lowest common multiple of 177 and 184, we have to get the multip;es of both numbers and identify the least common multiple in them which is 32568.
3. 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.
4. What are the Factors of 184?
Answer: Factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184. There are 8 integers that are factors of 184. The greatest factor of 184 is 184.
5. How to Find the LCM of 177 and 184?Answer:
Least Common Multiple of 177 and 184 = 32568
Step 1: Find the prime factorization of 177
177 = 3 x 59
Step 2: Find the prime factorization of 184
184 = 2 x 2 x 2 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32568 = 2 x 2 x 2 x 3 x 23 x 59
Step 4: Therefore, the least common multiple of 177 and 184 is 32568.