Least Common Multiple of 4163 and 4169
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 4169 the smallest integer that is 17355547 that is divisible by both numbers.
Least Common Multiple (LCM) of 4163 and 4169 is 17355547.
LCM(4163,4169) = 17355547
LCM of 4163 and 4169
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4163 and 4169 by Prime method
- Least Common Multiple of 4163 and 4169 with GCF Formula
LCM of 4163 and 4169 is 17355547
Least common multiple can be found by multiplying the highest exponent prime factors of 4163 and 4169. First we will calculate the prime factors of 4163 and 4169.
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 4169
| 11 | 4169 |
| 379 | 379 |
| 1 |
Prime factors of 4169 are 11,379. Prime factorization of 4169 in exponential form is:
4169 = 111×3791
Now multiplying the highest exponent prime factors to calculate the LCM of 4163 and 4169.
LCM(4163,4169) = 111×231×1811×3791
LCM(4163,4169) = 17355547
Factors of 4163
List of positive integer factors of 4163 that divides 4163 without a remainder.
1, 23, 181, 4163
Factors of 4169
List of positive integer factors of 4169 that divides 4169 without a remainder.
1, 11, 379, 4169
Least Common Multiple of 4163 and 4169 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 4169, than apply into the LCM equation.
GCF(4163,4169) = 1
LCM(4163,4169) = ( 4163 × 4169) / 1
LCM(4163,4169) = 17355547 / 1
LCM(4163,4169) = 17355547
Properties of LCM 4163 and 4169
(i) The LCM of 4169 and 4163 is associative
LCM of 4163 and 4169 = LCM of 4169 and 4163
Related Least Common Multiples of 4163
Related Least Common Multiples of 4169
Frequently Asked Questions on LCM of 4163 and 4169
1. What is the LCM of 4163 and 4169?
Answer: LCM of 4163 and 4169 is 17355547.
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 4169?
Answer: Factors of 4169 are 1, 11, 379, 4169. There are 4 integers that are factors of 4169. The greatest factor of 4169 is 4169.
4. How to Find the LCM of 4163 and 4169?
Answer:
Least Common Multiple of 4163 and 4169 = 17355547
Step 1: Find the prime factorization of 4163
4163 = 23 x 181
Step 2: Find the prime factorization of 4169
4169 = 11 x 379
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17355547 = 11 x 23 x 181 x 379
Step 4: Therefore, the least common multiple of 4163 and 4169 is 17355547.