Least Common Multiple of 4123 and 4131
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4123 and 4131 the smallest integer that is 17032113 that is divisible by both numbers.
Least Common Multiple (LCM) of 4123 and 4131 is 17032113.
LCM(4123,4131) = 17032113
LCM of 4123 and 4131
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4123 and 4131 by Prime method
- Least Common Multiple of 4123 and 4131 with GCF Formula
LCM of 4123 and 4131 is 17032113
Least common multiple can be found by multiplying the highest exponent prime factors of 4123 and 4131. First we will calculate the prime factors of 4123 and 4131.
Prime Factorization of 4123
| 7 | 4123 |
| 19 | 589 |
| 31 | 31 |
| 1 |
Prime factors of 4123 are 7, 19,31. Prime factorization of 4123 in exponential form is:
4123 = 71×191×311
Prime Factorization of 4131
| 3 | 4131 |
| 3 | 1377 |
| 3 | 459 |
| 3 | 153 |
| 3 | 51 |
| 17 | 17 |
| 1 |
Prime factors of 4131 are 3,17. Prime factorization of 4131 in exponential form is:
4131 = 35×171
Now multiplying the highest exponent prime factors to calculate the LCM of 4123 and 4131.
LCM(4123,4131) = 35×71×171×191×311
LCM(4123,4131) = 17032113
Factors of 4123
List of positive integer factors of 4123 that divides 4123 without a remainder.
1, 7, 19, 31, 133, 217, 589, 4123
Factors of 4131
List of positive integer factors of 4131 that divides 4131 without a remainder.
1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131
Least Common Multiple of 4123 and 4131 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4123 and 4131, than apply into the LCM equation.
GCF(4123,4131) = 1
LCM(4123,4131) = ( 4123 × 4131) / 1
LCM(4123,4131) = 17032113 / 1
LCM(4123,4131) = 17032113
Properties of LCM 4123 and 4131
(i) The LCM of 4131 and 4123 is associative
LCM of 4123 and 4131 = LCM of 4131 and 4123
Related Least Common Multiples of 4123
Related Least Common Multiples of 4131
Frequently Asked Questions on LCM of 4123 and 4131
1. What is the LCM of 4123 and 4131?
Answer: LCM of 4123 and 4131 is 17032113.
2. What are the Factors of 4123?
Answer: Factors of 4123 are 1, 7, 19, 31, 133, 217, 589, 4123. There are 8 integers that are factors of 4123. The greatest factor of 4123 is 4123.
3. What are the Factors of 4131?
Answer: Factors of 4131 are 1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131. There are 12 integers that are factors of 4131. The greatest factor of 4131 is 4131.
4. How to Find the LCM of 4123 and 4131?
Answer:
Least Common Multiple of 4123 and 4131 = 17032113
Step 1: Find the prime factorization of 4123
4123 = 7 x 19 x 31
Step 2: Find the prime factorization of 4131
4131 = 3 x 3 x 3 x 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 = 17032113 = 3 x 3 x 3 x 3 x 3 x 7 x 17 x 19 x 31
Step 4: Therefore, the least common multiple of 4123 and 4131 is 17032113.