LCM of 125 and 130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 125 and 130 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 3250 as output. Here you can check the answer for Find the LCM of 125 and 130.
What is LCM of 125 and 130
Given Numbers are 125, 130
We can find the LCM of 125, 130 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 125 and 130
Multiples of 125 =125,250,375,500,625,750,875,1000,1125,1250,1375,1500,1625,1750,1875,2000,2125,
Multiples of 130 =130,260,390,520,650,780,910,1040,1170,1300,1430,1560,1690,1820,1950,2080,2210,
Now, get the least common multiple of 125, 130 which is 3250
So, the LCM of 125, 130 is 3250.
Least Common Multiple (LCM) of 125 and 130 with the help of Prime Factorisation
One method for determining the LCM of 125 and 130 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 125's prime factorization:
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 125 are 5.
125 = 53
And this is 130's prime factorization:
| 2 | 130 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 130 are 2, 5,13.
130 = 21×51×131
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:5, 2,13
.21×53×131 = 3250
This shows that the LCM of 125 and 130 is 3250.
How to Calculate the LCM of 125 and 130 Using Common Multiples
The first step in determining the Least Common Multiple of 125 and 130 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 125 and 130:
Lets look at the first ten multiples of these numbers, 125 and 130:
125,250,375,500,625,750,875,1000,1125,2125 are the first ten multiples of 125.
130,260,390,520,650,780,910,1040,1170,2210 are the first ten multiples of 130.
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 125 and 130, for example, are 1500, 2125, and 2080. 3250 is the least common multiple since it is the smallest.
125 and 130 have an LCM of 3250.
Least Common Multiple of 125 and 130 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 125 and 130, than apply into the LCM equation.
GCF(125,130) = 5
LCM(125,130) = ( 125 × 130) / 5
LCM(125,130) = 16250 / 5
LCM(125,130) = 3250
Related Least Common Multiples of 125
Related Least Common Multiples of 130
Frequently Asked Questions on LCM of 125 and 130
1. What is the LCM of 125 and 130?
The LCM of 125 and 130 is 3250.
2. How to find the lowest common multiple of 125 and 130?
To find the lowest common multiple of 125 and 130, we have to get the multip;es of both numbers and identify the least common multiple in them which is 3250.
3. 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.
4. What are the Factors of 130?
Answer: Factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130. There are 8 integers that are factors of 130. The greatest factor of 130 is 130.
5. How to Find the LCM of 125 and 130?Answer:
Least Common Multiple of 125 and 130 = 3250
Step 1: Find the prime factorization of 125
125 = 5 x 5 x 5
Step 2: Find the prime factorization of 130
130 = 2 x 5 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3250 = 2 x 5 x 5 x 5 x 13
Step 4: Therefore, the least common multiple of 125 and 130 is 3250.