LCM of 146 and 153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 146 and 153 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 22338 as output. Here you can check the answer for Find the LCM of 146 and 153.
What is LCM of 146 and 153
Given Numbers are 146, 153
We can find the LCM of 146, 153 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 146 and 153
Multiples of 146 =146,292,438,584,730,876,1022,1168,1314,1460,1606,1752,1898,2044,2190,2336,2482,
Multiples of 153 =153,306,459,612,765,918,1071,1224,1377,1530,1683,1836,1989,2142,2295,2448,2601,
Now, get the least common multiple of 146, 153 which is 22338
So, the LCM of 146, 153 is 22338.
Least Common Multiple (LCM) of 146 and 153 with the help of Prime Factorisation
One method for determining the LCM of 146 and 153 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 146's prime factorization:
| 2 | 146 |
| 73 | 73 |
| 1 |
Prime factors of 146 are 2,73.
146 = 21×731
And this is 153's prime factorization:
| 3 | 153 |
| 3 | 51 |
| 17 | 17 |
| 1 |
Prime factors of 153 are 3,17.
153 = 32×171
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: 2,73, 3,17
.21×32×171×731 = 22338
This shows that the LCM of 146 and 153 is 22338.
How to Calculate the LCM of 146 and 153 Using Common Multiples
The first step in determining the Least Common Multiple of 146 and 153 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 146 and 153:
Lets look at the first ten multiples of these numbers, 146 and 153:
146,292,438,584,730,876,1022,1168,1314,2482 are the first ten multiples of 146.
153,306,459,612,765,918,1071,1224,1377,2601 are the first ten multiples of 153.
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 146 and 153, for example, are 1752, 2482, and 2448. 22338 is the least common multiple since it is the smallest.
146 and 153 have an LCM of 22338.
Least Common Multiple of 146 and 153 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146 and 153, than apply into the LCM equation.
GCF(146,153) = 1
LCM(146,153) = ( 146 × 153) / 1
LCM(146,153) = 22338 / 1
LCM(146,153) = 22338
Related Least Common Multiples of 146
Related Least Common Multiples of 153
Frequently Asked Questions on LCM of 146 and 153
1. What is the LCM of 146 and 153?
The LCM of 146 and 153 is 22338.
2. How to find the lowest common multiple of 146 and 153?
To find the lowest common multiple of 146 and 153, we have to get the multip;es of both numbers and identify the least common multiple in them which is 22338.
3. What are the Factors of 146?
Answer: Factors of 146 are 1, 2, 73, 146. There are 4 integers that are factors of 146. The greatest factor of 146 is 146.
4. What are the Factors of 153?
Answer: Factors of 153 are 1, 3, 9, 17, 51, 153. There are 6 integers that are factors of 153. The greatest factor of 153 is 153.
5. How to Find the LCM of 146 and 153?Answer:
Least Common Multiple of 146 and 153 = 22338
Step 1: Find the prime factorization of 146
146 = 2 x 73
Step 2: Find the prime factorization of 153
153 = 3 x 3 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22338 = 2 x 3 x 3 x 17 x 73
Step 4: Therefore, the least common multiple of 146 and 153 is 22338.