LCM of 52 and 57
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 52 and 57 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 2964 as output. Here you can check the answer for Find the LCM of 52 and 57.
What is LCM of 52 and 57
Given Numbers are 52, 57
We can find the LCM of 52, 57 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 52 and 57
Multiples of 52 =52,104,156,208,260,312,364,416,468,520,572,624,676,728,780,832,884,
Multiples of 57 =57,114,171,228,285,342,399,456,513,570,627,684,741,798,855,912,969,
Now, get the least common multiple of 52, 57 which is 2964
So, the LCM of 52, 57 is 2964.
Least Common Multiple (LCM) of 52 and 57 with the help of Prime Factorisation
One method for determining the LCM of 52 and 57 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 52's prime factorization:
| 2 | 52 |
| 2 | 26 |
| 13 | 13 |
| 1 |
Prime factors of 52 are 2,13.
52 = 22×131
And this is 57's prime factorization:
| 3 | 57 |
| 19 | 19 |
| 1 |
Prime factors of 57 are 3,19.
57 = 31×191
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: 2,13, 3,19
.22×31×131×191 = 2964
This shows that the LCM of 52 and 57 is 2964.
How to Calculate the LCM of 52 and 57 Using Common Multiples
The first step in determining the Least Common Multiple of 52 and 57 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 52 and 57:
Lets look at the first ten multiples of these numbers, 52 and 57:
52,104,156,208,260,312,364,416,468,884 are the first ten multiples of 52.
57,114,171,228,285,342,399,456,513,969 are the first ten multiples of 57.
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 52 and 57, for example, are 624, 884, and 912. 2964 is the least common multiple since it is the smallest.
52 and 57 have an LCM of 2964.
Least Common Multiple of 52 and 57 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52 and 57, than apply into the LCM equation.
GCF(52,57) = 1
LCM(52,57) = ( 52 × 57) / 1
LCM(52,57) = 2964 / 1
LCM(52,57) = 2964
Related Least Common Multiples of 52
Related Least Common Multiples of 57
Frequently Asked Questions on LCM of 52 and 57
1. What is the LCM of 52 and 57?
The LCM of 52 and 57 is 2964.
2. How to find the lowest common multiple of 52 and 57?
To find the lowest common multiple of 52 and 57, we have to get the multip;es of both numbers and identify the least common multiple in them which is 2964.
3. What are the Factors of 52?
Answer: Factors of 52 are 1, 2, 4, 13, 26, 52. There are 6 integers that are factors of 52. The greatest factor of 52 is 52.
4. What are the Factors of 57?
Answer: Factors of 57 are 1, 3, 19, 57. There are 4 integers that are factors of 57. The greatest factor of 57 is 57.
5. How to Find the LCM of 52 and 57?Answer:
Least Common Multiple of 52 and 57 = 2964
Step 1: Find the prime factorization of 52
52 = 2 x 2 x 13
Step 2: Find the prime factorization of 57
57 = 3 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2964 = 2 x 2 x 3 x 13 x 19
Step 4: Therefore, the least common multiple of 52 and 57 is 2964.