Least Common Multiple of 2165 and 2166
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2165 and 2166 the smallest integer that is 4689390 that is divisible by both numbers.
Least Common Multiple (LCM) of 2165 and 2166 is 4689390.
LCM(2165,2166) = 4689390
LCM of 2165 and 2166
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2165 and 2166 by Prime method
- Least Common Multiple of 2165 and 2166 with GCF Formula
LCM of 2165 and 2166 is 4689390
Least common multiple can be found by multiplying the highest exponent prime factors of 2165 and 2166. First we will calculate the prime factors of 2165 and 2166.
Prime Factorization of 2165
| 5 | 2165 |
| 433 | 433 |
| 1 |
Prime factors of 2165 are 5,433. Prime factorization of 2165 in exponential form is:
2165 = 51×4331
Prime Factorization of 2166
| 2 | 2166 |
| 3 | 1083 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 2166 are 2, 3,19. Prime factorization of 2166 in exponential form is:
2166 = 21×31×192
Now multiplying the highest exponent prime factors to calculate the LCM of 2165 and 2166.
LCM(2165,2166) = 21×31×51×192×4331
LCM(2165,2166) = 4689390
Factors of 2165
List of positive integer factors of 2165 that divides 2165 without a remainder.
1, 5, 433, 2165
Factors of 2166
List of positive integer factors of 2166 that divides 2166 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166
Least Common Multiple of 2165 and 2166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2165 and 2166, than apply into the LCM equation.
GCF(2165,2166) = 1
LCM(2165,2166) = ( 2165 × 2166) / 1
LCM(2165,2166) = 4689390 / 1
LCM(2165,2166) = 4689390
Properties of LCM 2165 and 2166
(i) The LCM of 2166 and 2165 is associative
LCM of 2165 and 2166 = LCM of 2166 and 2165
Related Least Common Multiples of 2165
Related Least Common Multiples of 2166
Frequently Asked Questions on LCM of 2165 and 2166
1. What is the LCM of 2165 and 2166?
Answer: LCM of 2165 and 2166 is 4689390.
2. What are the Factors of 2165?
Answer: Factors of 2165 are 1, 5, 433, 2165. There are 4 integers that are factors of 2165. The greatest factor of 2165 is 2165.
3. What are the Factors of 2166?
Answer: Factors of 2166 are 1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166. There are 12 integers that are factors of 2166. The greatest factor of 2166 is 2166.
4. How to Find the LCM of 2165 and 2166?
Answer:
Least Common Multiple of 2165 and 2166 = 4689390
Step 1: Find the prime factorization of 2165
2165 = 5 x 433
Step 2: Find the prime factorization of 2166
2166 = 2 x 3 x 19 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4689390 = 2 x 3 x 5 x 19 x 19 x 433
Step 4: Therefore, the least common multiple of 2165 and 2166 is 4689390.
