LCM of 125 and 132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 125 and 132 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 16500 as output. Here you can check the answer for Find the LCM of 125 and 132.
What is LCM of 125 and 132
Given Numbers are 125, 132
We can find the LCM of 125, 132 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 125 and 132
Multiples of 125 =125,250,375,500,625,750,875,1000,1125,1250,1375,1500,1625,1750,1875,2000,2125,
Multiples of 132 =132,264,396,528,660,792,924,1056,1188,1320,1452,1584,1716,1848,1980,2112,2244,
Now, get the least common multiple of 125, 132 which is 16500
So, the LCM of 125, 132 is 16500.
Least Common Multiple (LCM) of 125 and 132 with the help of Prime Factorisation
One method for determining the LCM of 125 and 132 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 132's prime factorization:
| 2 | 132 |
| 2 | 66 |
| 3 | 33 |
| 11 | 11 |
| 1 |
Prime factors of 132 are 2, 3,11.
132 = 22×31×111
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, 3,11
.22×31×53×111 = 16500
This shows that the LCM of 125 and 132 is 16500.
How to Calculate the LCM of 125 and 132 Using Common Multiples
The first step in determining the Least Common Multiple of 125 and 132 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 125 and 132:
Lets look at the first ten multiples of these numbers, 125 and 132:
125,250,375,500,625,750,875,1000,1125,2125 are the first ten multiples of 125.
132,264,396,528,660,792,924,1056,1188,2244 are the first ten multiples of 132.
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 132, for example, are 1500, 2125, and 2112. 16500 is the least common multiple since it is the smallest.
125 and 132 have an LCM of 16500.
Least Common Multiple of 125 and 132 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 132, than apply into the LCM equation.
GCF(125,132) = 1
LCM(125,132) = ( 125 × 132) / 1
LCM(125,132) = 16500 / 1
LCM(125,132) = 16500
Related Least Common Multiples of 125
Related Least Common Multiples of 132
Frequently Asked Questions on LCM of 125 and 132
1. What is the LCM of 125 and 132?
The LCM of 125 and 132 is 16500.
2. How to find the lowest common multiple of 125 and 132?
To find the lowest common multiple of 125 and 132, we have to get the multip;es of both numbers and identify the least common multiple in them which is 16500.
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 132?
Answer: Factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132. There are 12 integers that are factors of 132. The greatest factor of 132 is 132.
5. How to Find the LCM of 125 and 132?Answer:
Least Common Multiple of 125 and 132 = 16500
Step 1: Find the prime factorization of 125
125 = 5 x 5 x 5
Step 2: Find the prime factorization of 132
132 = 2 x 2 x 3 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16500 = 2 x 2 x 3 x 5 x 5 x 5 x 11
Step 4: Therefore, the least common multiple of 125 and 132 is 16500.