LCM of 174 and 181
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 174 and 181 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 31494 as output. Here you can check the answer for Find the LCM of 174 and 181.
What is LCM of 174 and 181
Given Numbers are 174, 181
We can find the LCM of 174, 181 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 174 and 181
Multiples of 174 =174,348,522,696,870,1044,1218,1392,1566,1740,1914,2088,2262,2436,2610,2784,2958,
Multiples of 181 =181,362,543,724,905,1086,1267,1448,1629,1810,1991,2172,2353,2534,2715,2896,3077,
Now, get the least common multiple of 174, 181 which is 31494
So, the LCM of 174, 181 is 31494.
Least Common Multiple (LCM) of 174 and 181 with the help of Prime Factorisation
One method for determining the LCM of 174 and 181 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 174's prime factorization:
| 2 | 174 |
| 3 | 87 |
| 29 | 29 |
| 1 |
Prime factors of 174 are 2, 3,29.
174 = 21×31×291
And this is 181's prime factorization:
| 181 | 181 |
| 1 |
Prime factors of 181 are 181.
181 = 1811
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, 3,29,181
.21×31×291×1811 = 31494
This shows that the LCM of 174 and 181 is 31494.
How to Calculate the LCM of 174 and 181 Using Common Multiples
The first step in determining the Least Common Multiple of 174 and 181 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 174 and 181:
Lets look at the first ten multiples of these numbers, 174 and 181:
174,348,522,696,870,1044,1218,1392,1566,2958 are the first ten multiples of 174.
181,362,543,724,905,1086,1267,1448,1629,3077 are the first ten multiples of 181.
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 174 and 181, for example, are 2088, 2958, and 2896. 31494 is the least common multiple since it is the smallest.
174 and 181 have an LCM of 31494.
Least Common Multiple of 174 and 181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 174 and 181, than apply into the LCM equation.
GCF(174,181) = 1
LCM(174,181) = ( 174 × 181) / 1
LCM(174,181) = 31494 / 1
LCM(174,181) = 31494
Related Least Common Multiples of 174
Related Least Common Multiples of 181
Frequently Asked Questions on LCM of 174 and 181
1. What is the LCM of 174 and 181?
The LCM of 174 and 181 is 31494.
2. How to find the lowest common multiple of 174 and 181?
To find the lowest common multiple of 174 and 181, we have to get the multip;es of both numbers and identify the least common multiple in them which is 31494.
3. What are the Factors of 174?
Answer: Factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174. There are 8 integers that are factors of 174. The greatest factor of 174 is 174.
4. What are the Factors of 181?
Answer: Factors of 181 are 1, 181. There are 2 integers that are factors of 181. The greatest factor of 181 is 181.
5. How to Find the LCM of 174 and 181?Answer:
Least Common Multiple of 174 and 181 = 31494
Step 1: Find the prime factorization of 174
174 = 2 x 3 x 29
Step 2: Find the prime factorization of 181
181 = 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31494 = 2 x 3 x 29 x 181
Step 4: Therefore, the least common multiple of 174 and 181 is 31494.