Least Common Multiple of 4163 and 4171
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4163 and 4171 the smallest integer that is 17363873 that is divisible by both numbers.
Least Common Multiple (LCM) of 4163 and 4171 is 17363873.
LCM(4163,4171) = 17363873
LCM of 4163 and 4171
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4163 and 4171 by Prime method
- Least Common Multiple of 4163 and 4171 with GCF Formula
LCM of 4163 and 4171 is 17363873
Least common multiple can be found by multiplying the highest exponent prime factors of 4163 and 4171. First we will calculate the prime factors of 4163 and 4171.
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
Prime Factorization of 4171
| 43 | 4171 |
| 97 | 97 |
| 1 |
Prime factors of 4171 are 43,97. Prime factorization of 4171 in exponential form is:
4171 = 431×971
Now multiplying the highest exponent prime factors to calculate the LCM of 4163 and 4171.
LCM(4163,4171) = 231×431×971×1811
LCM(4163,4171) = 17363873
Factors of 4163
List of positive integer factors of 4163 that divides 4163 without a remainder.
1, 23, 181, 4163
Factors of 4171
List of positive integer factors of 4171 that divides 4171 without a remainder.
1, 43, 97, 4171
Least Common Multiple of 4163 and 4171 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4163 and 4171, than apply into the LCM equation.
GCF(4163,4171) = 1
LCM(4163,4171) = ( 4163 × 4171) / 1
LCM(4163,4171) = 17363873 / 1
LCM(4163,4171) = 17363873
Properties of LCM 4163 and 4171
(i) The LCM of 4171 and 4163 is associative
LCM of 4163 and 4171 = LCM of 4171 and 4163
Related Least Common Multiples of 4163
Related Least Common Multiples of 4171
Frequently Asked Questions on LCM of 4163 and 4171
1. What is the LCM of 4163 and 4171?
Answer: LCM of 4163 and 4171 is 17363873.
2. 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.
3. What are the Factors of 4171?
Answer: Factors of 4171 are 1, 43, 97, 4171. There are 4 integers that are factors of 4171. The greatest factor of 4171 is 4171.
4. How to Find the LCM of 4163 and 4171?
Answer:
Least Common Multiple of 4163 and 4171 = 17363873
Step 1: Find the prime factorization of 4163
4163 = 23 x 181
Step 2: Find the prime factorization of 4171
4171 = 43 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17363873 = 23 x 43 x 97 x 181
Step 4: Therefore, the least common multiple of 4163 and 4171 is 17363873.