LCM of 119 and 125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 119 and 125 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 14875 as output. Here you can check the answer for Find the LCM of 119 and 125.
What is LCM of 119 and 125
Given Numbers are 119, 125
We can find the LCM of 119, 125 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 119 and 125
Multiples of 119 =119,238,357,476,595,714,833,952,1071,1190,1309,1428,1547,1666,1785,1904,2023,
Multiples of 125 =125,250,375,500,625,750,875,1000,1125,1250,1375,1500,1625,1750,1875,2000,2125,
Now, get the least common multiple of 119, 125 which is 14875
So, the LCM of 119, 125 is 14875.
Least Common Multiple (LCM) of 119 and 125 with the help of Prime Factorisation
One method for determining the LCM of 119 and 125 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 119's prime factorization:
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 119 are 7,17.
119 = 71×171
And this is 125's prime factorization:
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 125 are 5.
125 = 53
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: 7,17,5
.53×71×171 = 14875
This shows that the LCM of 119 and 125 is 14875.
How to Calculate the LCM of 119 and 125 Using Common Multiples
The first step in determining the Least Common Multiple of 119 and 125 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 119 and 125:
Lets look at the first ten multiples of these numbers, 119 and 125:
119,238,357,476,595,714,833,952,1071,2023 are the first ten multiples of 119.
125,250,375,500,625,750,875,1000,1125,2125 are the first ten multiples of 125.
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 119 and 125, for example, are 1428, 2023, and 2000. 14875 is the least common multiple since it is the smallest.
119 and 125 have an LCM of 14875.
Least Common Multiple of 119 and 125 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 119 and 125, than apply into the LCM equation.
GCF(119,125) = 1
LCM(119,125) = ( 119 × 125) / 1
LCM(119,125) = 14875 / 1
LCM(119,125) = 14875
Related Least Common Multiples of 119
Related Least Common Multiples of 125
Frequently Asked Questions on LCM of 119 and 125
1. What is the LCM of 119 and 125?
The LCM of 119 and 125 is 14875.
2. How to find the lowest common multiple of 119 and 125?
To find the lowest common multiple of 119 and 125, we have to get the multip;es of both numbers and identify the least common multiple in them which is 14875.
3. What are the Factors of 119?
Answer: Factors of 119 are 1, 7, 17, 119. There are 4 integers that are factors of 119. The greatest factor of 119 is 119.
4. What are the Factors of 125?
Answer: Factors of 125 are 1, 5, 25, 125. There are 4 integers that are factors of 125. The greatest factor of 125 is 125.
5. How to Find the LCM of 119 and 125?Answer:
Least Common Multiple of 119 and 125 = 14875
Step 1: Find the prime factorization of 119
119 = 7 x 17
Step 2: Find the prime factorization of 125
125 = 5 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14875 = 5 x 5 x 5 x 7 x 17
Step 4: Therefore, the least common multiple of 119 and 125 is 14875.