LCM of 167 and 175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 167 and 175 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 29225 as output. Here you can check the answer for Find the LCM of 167 and 175.
What is LCM of 167 and 175
Given Numbers are 167, 175
We can find the LCM of 167, 175 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 167 and 175
Multiples of 167 =167,334,501,668,835,1002,1169,1336,1503,1670,1837,2004,2171,2338,2505,2672,2839,
Multiples of 175 =175,350,525,700,875,1050,1225,1400,1575,1750,1925,2100,2275,2450,2625,2800,2975,
Now, get the least common multiple of 167, 175 which is 29225
So, the LCM of 167, 175 is 29225.
Least Common Multiple (LCM) of 167 and 175 with the help of Prime Factorisation
One method for determining the LCM of 167 and 175 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 167's prime factorization:
| 167 | 167 |
| 1 |
Prime factors of 167 are 167.
167 = 1671
And this is 175's prime factorization:
| 5 | 175 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 175 are 5,7.
175 = 52×71
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:167, 5,7
.52×71×1671 = 29225
This shows that the LCM of 167 and 175 is 29225.
How to Calculate the LCM of 167 and 175 Using Common Multiples
The first step in determining the Least Common Multiple of 167 and 175 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 167 and 175:
Lets look at the first ten multiples of these numbers, 167 and 175:
167,334,501,668,835,1002,1169,1336,1503,2839 are the first ten multiples of 167.
175,350,525,700,875,1050,1225,1400,1575,2975 are the first ten multiples of 175.
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 167 and 175, for example, are 2004, 2839, and 2800. 29225 is the least common multiple since it is the smallest.
167 and 175 have an LCM of 29225.
Least Common Multiple of 167 and 175 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 167 and 175, than apply into the LCM equation.
GCF(167,175) = 1
LCM(167,175) = ( 167 × 175) / 1
LCM(167,175) = 29225 / 1
LCM(167,175) = 29225
Related Least Common Multiples of 167
Related Least Common Multiples of 175
Frequently Asked Questions on LCM of 167 and 175
1. What is the LCM of 167 and 175?
The LCM of 167 and 175 is 29225.
2. How to find the lowest common multiple of 167 and 175?
To find the lowest common multiple of 167 and 175, we have to get the multip;es of both numbers and identify the least common multiple in them which is 29225.
3. What are the Factors of 167?
Answer: Factors of 167 are 1, 167. There are 2 integers that are factors of 167. The greatest factor of 167 is 167.
4. What are the Factors of 175?
Answer: Factors of 175 are 1, 5, 7, 25, 35, 175. There are 6 integers that are factors of 175. The greatest factor of 175 is 175.
5. How to Find the LCM of 167 and 175?Answer:
Least Common Multiple of 167 and 175 = 29225
Step 1: Find the prime factorization of 167
167 = 167
Step 2: Find the prime factorization of 175
175 = 5 x 5 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29225 = 5 x 5 x 7 x 167
Step 4: Therefore, the least common multiple of 167 and 175 is 29225.