Least Common Multiple of 2163 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 2163 and 2166 the smallest integer that is 1561686 that is divisible by both numbers.
Least Common Multiple (LCM) of 2163 and 2166 is 1561686.
LCM(2163,2166) = 1561686
LCM of 2163 and 2166
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2163 and 2166 by Prime method
- Least Common Multiple of 2163 and 2166 with GCF Formula
LCM of 2163 and 2166 is 1561686
Least common multiple can be found by multiplying the highest exponent prime factors of 2163 and 2166. First we will calculate the prime factors of 2163 and 2166.
Prime Factorization of 2163
| 3 | 2163 |
| 7 | 721 |
| 103 | 103 |
| 1 |
Prime factors of 2163 are 3, 7,103. Prime factorization of 2163 in exponential form is:
2163 = 31×71×1031
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 2163 and 2166.
LCM(2163,2166) = 21×31×71×192×1031
LCM(2163,2166) = 1561686
Factors of 2163
List of positive integer factors of 2163 that divides 2163 without a remainder.
1, 3, 7, 21, 103, 309, 721, 2163
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 2163 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 2163 and 2166, than apply into the LCM equation.
GCF(2163,2166) = 3
LCM(2163,2166) = ( 2163 × 2166) / 3
LCM(2163,2166) = 4685058 / 3
LCM(2163,2166) = 1561686
Properties of LCM 2163 and 2166
(i) The LCM of 2166 and 2163 is associative
LCM of 2163 and 2166 = LCM of 2166 and 2163
Related Least Common Multiples of 2163
Related Least Common Multiples of 2166
Frequently Asked Questions on LCM of 2163 and 2166
1. What is the LCM of 2163 and 2166?
Answer: LCM of 2163 and 2166 is 1561686.
2. What are the Factors of 2163?
Answer: Factors of 2163 are 1, 3, 7, 21, 103, 309, 721, 2163. There are 8 integers that are factors of 2163. The greatest factor of 2163 is 2163.
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 2163 and 2166?
Answer:
Least Common Multiple of 2163 and 2166 = 1561686
Step 1: Find the prime factorization of 2163
2163 = 3 x 7 x 103
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 = 1561686 = 2 x 3 x 7 x 19 x 19 x 103
Step 4: Therefore, the least common multiple of 2163 and 2166 is 1561686.