LCM of 152 and 156
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 152 and 156 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 5928 as output. Here you can check the answer for Find the LCM of 152 and 156.
What is LCM of 152 and 156
Given Numbers are 152, 156
We can find the LCM of 152, 156 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 152 and 156
Multiples of 152 =152,304,456,608,760,912,1064,1216,1368,1520,1672,1824,1976,2128,2280,2432,2584,
Multiples of 156 =156,312,468,624,780,936,1092,1248,1404,1560,1716,1872,2028,2184,2340,2496,2652,
Now, get the least common multiple of 152, 156 which is 5928
So, the LCM of 152, 156 is 5928.
Least Common Multiple (LCM) of 152 and 156 with the help of Prime Factorisation
One method for determining the LCM of 152 and 156 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 152's prime factorization:
| 2 | 152 |
| 2 | 76 |
| 2 | 38 |
| 19 | 19 |
| 1 |
Prime factors of 152 are 2,19.
152 = 23×191
And this is 156's prime factorization:
| 2 | 156 |
| 2 | 78 |
| 3 | 39 |
| 13 | 13 |
| 1 |
Prime factors of 156 are 2, 3,13.
156 = 22×31×131
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: 2,19, 3,13
.23×31×131×191 = 5928
This shows that the LCM of 152 and 156 is 5928.
How to Calculate the LCM of 152 and 156 Using Common Multiples
The first step in determining the Least Common Multiple of 152 and 156 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 152 and 156:
Lets look at the first ten multiples of these numbers, 152 and 156:
152,304,456,608,760,912,1064,1216,1368,2584 are the first ten multiples of 152.
156,312,468,624,780,936,1092,1248,1404,2652 are the first ten multiples of 156.
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 152 and 156, for example, are 1824, 2584, and 2496. 5928 is the least common multiple since it is the smallest.
152 and 156 have an LCM of 5928.
Least Common Multiple of 152 and 156 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 152 and 156, than apply into the LCM equation.
GCF(152,156) = 4
LCM(152,156) = ( 152 × 156) / 4
LCM(152,156) = 23712 / 4
LCM(152,156) = 5928
Related Least Common Multiples of 152
Related Least Common Multiples of 156
Frequently Asked Questions on LCM of 152 and 156
1. What is the LCM of 152 and 156?
The LCM of 152 and 156 is 5928.
2. How to find the lowest common multiple of 152 and 156?
To find the lowest common multiple of 152 and 156, we have to get the multip;es of both numbers and identify the least common multiple in them which is 5928.
3. What are the Factors of 152?
Answer: Factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152. There are 8 integers that are factors of 152. The greatest factor of 152 is 152.
4. What are the Factors of 156?
Answer: Factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156. There are 12 integers that are factors of 156. The greatest factor of 156 is 156.
5. How to Find the LCM of 152 and 156?Answer:
Least Common Multiple of 152 and 156 = 5928
Step 1: Find the prime factorization of 152
152 = 2 x 2 x 2 x 19
Step 2: Find the prime factorization of 156
156 = 2 x 2 x 3 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 = 5928 = 2 x 2 x 2 x 3 x 13 x 19
Step 4: Therefore, the least common multiple of 152 and 156 is 5928.