Least Common Multiple of 4161 and 4163
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4161 and 4163 the smallest integer that is 17322243 that is divisible by both numbers.
Least Common Multiple (LCM) of 4161 and 4163 is 17322243.
LCM(4161,4163) = 17322243
LCM of 4161 and 4163
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4161 and 4163 by Prime method
- Least Common Multiple of 4161 and 4163 with GCF Formula
LCM of 4161 and 4163 is 17322243
Least common multiple can be found by multiplying the highest exponent prime factors of 4161 and 4163. First we will calculate the prime factors of 4161 and 4163.
Prime Factorization of 4161
| 3 | 4161 |
| 19 | 1387 |
| 73 | 73 |
| 1 |
Prime factors of 4161 are 3, 19,73. Prime factorization of 4161 in exponential form is:
4161 = 31×191×731
Prime Factorization of 4163
| 23 | 4163 |
| 181 | 181 |
| 1 |
Prime factors of 4163 are 23,181. Prime factorization of 4163 in exponential form is:
4163 = 231×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 4161 and 4163.
LCM(4161,4163) = 31×191×231×731×1811
LCM(4161,4163) = 17322243
Factors of 4161
List of positive integer factors of 4161 that divides 4161 without a remainder.
1, 3, 19, 57, 73, 219, 1387, 4161
Factors of 4163
List of positive integer factors of 4163 that divides 4163 without a remainder.
1, 23, 181, 4163
Least Common Multiple of 4161 and 4163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4161 and 4163, than apply into the LCM equation.
GCF(4161,4163) = 1
LCM(4161,4163) = ( 4161 × 4163) / 1
LCM(4161,4163) = 17322243 / 1
LCM(4161,4163) = 17322243
Properties of LCM 4161 and 4163
(i) The LCM of 4163 and 4161 is associative
LCM of 4161 and 4163 = LCM of 4163 and 4161
Related Least Common Multiples of 4161
Related Least Common Multiples of 4163
Frequently Asked Questions on LCM of 4161 and 4163
1. What is the LCM of 4161 and 4163?
Answer: LCM of 4161 and 4163 is 17322243.
2. What are the Factors of 4161?
Answer: Factors of 4161 are 1, 3, 19, 57, 73, 219, 1387, 4161. There are 8 integers that are factors of 4161. The greatest factor of 4161 is 4161.
3. What are the Factors of 4163?
Answer: Factors of 4163 are 1, 23, 181, 4163. There are 4 integers that are factors of 4163. The greatest factor of 4163 is 4163.
4. How to Find the LCM of 4161 and 4163?
Answer:
Least Common Multiple of 4161 and 4163 = 17322243
Step 1: Find the prime factorization of 4161
4161 = 3 x 19 x 73
Step 2: Find the prime factorization of 4163
4163 = 23 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17322243 = 3 x 19 x 23 x 73 x 181
Step 4: Therefore, the least common multiple of 4161 and 4163 is 17322243.