Least Common Multiple of 4131 and 4135
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4131 and 4135 the smallest integer that is 17081685 that is divisible by both numbers.
Least Common Multiple (LCM) of 4131 and 4135 is 17081685.
LCM(4131,4135) = 17081685
LCM of 4131 and 4135
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4131 and 4135 by Prime method
- Least Common Multiple of 4131 and 4135 with GCF Formula
LCM of 4131 and 4135 is 17081685
Least common multiple can be found by multiplying the highest exponent prime factors of 4131 and 4135. First we will calculate the prime factors of 4131 and 4135.
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
Prime Factorization of 4135
| 5 | 4135 |
| 827 | 827 |
| 1 |
Prime factors of 4135 are 5,827. Prime factorization of 4135 in exponential form is:
4135 = 51×8271
Now multiplying the highest exponent prime factors to calculate the LCM of 4131 and 4135.
LCM(4131,4135) = 35×51×171×8271
LCM(4131,4135) = 17081685
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
Factors of 4135
List of positive integer factors of 4135 that divides 4135 without a remainder.
1, 5, 827, 4135
Least Common Multiple of 4131 and 4135 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4131 and 4135, than apply into the LCM equation.
GCF(4131,4135) = 1
LCM(4131,4135) = ( 4131 × 4135) / 1
LCM(4131,4135) = 17081685 / 1
LCM(4131,4135) = 17081685
Properties of LCM 4131 and 4135
(i) The LCM of 4135 and 4131 is associative
LCM of 4131 and 4135 = LCM of 4135 and 4131
Related Least Common Multiples of 4131
Related Least Common Multiples of 4135
Frequently Asked Questions on LCM of 4131 and 4135
1. What is the LCM of 4131 and 4135?
Answer: LCM of 4131 and 4135 is 17081685.
2. 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.
3. What are the Factors of 4135?
Answer: Factors of 4135 are 1, 5, 827, 4135. There are 4 integers that are factors of 4135. The greatest factor of 4135 is 4135.
4. How to Find the LCM of 4131 and 4135?
Answer:
Least Common Multiple of 4131 and 4135 = 17081685
Step 1: Find the prime factorization of 4131
4131 = 3 x 3 x 3 x 3 x 3 x 17
Step 2: Find the prime factorization of 4135
4135 = 5 x 827
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17081685 = 3 x 3 x 3 x 3 x 3 x 5 x 17 x 827
Step 4: Therefore, the least common multiple of 4131 and 4135 is 17081685.