Least Common Multiple of 2166 and 2173
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2166 and 2173 the smallest integer that is 4706718 that is divisible by both numbers.
Least Common Multiple (LCM) of 2166 and 2173 is 4706718.
LCM(2166,2173) = 4706718
LCM of 2166 and 2173
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2166 and 2173 by Prime method
- Least Common Multiple of 2166 and 2173 with GCF Formula
LCM of 2166 and 2173 is 4706718
Least common multiple can be found by multiplying the highest exponent prime factors of 2166 and 2173. First we will calculate the prime factors of 2166 and 2173.
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
Prime Factorization of 2173
| 41 | 2173 |
| 53 | 53 |
| 1 |
Prime factors of 2173 are 41,53. Prime factorization of 2173 in exponential form is:
2173 = 411×531
Now multiplying the highest exponent prime factors to calculate the LCM of 2166 and 2173.
LCM(2166,2173) = 21×31×192×411×531
LCM(2166,2173) = 4706718
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
Factors of 2173
List of positive integer factors of 2173 that divides 2173 without a remainder.
1, 41, 53, 2173
Least Common Multiple of 2166 and 2173 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2166 and 2173, than apply into the LCM equation.
GCF(2166,2173) = 1
LCM(2166,2173) = ( 2166 × 2173) / 1
LCM(2166,2173) = 4706718 / 1
LCM(2166,2173) = 4706718
Properties of LCM 2166 and 2173
(i) The LCM of 2173 and 2166 is associative
LCM of 2166 and 2173 = LCM of 2173 and 2166
Related Least Common Multiples of 2166
Related Least Common Multiples of 2173
Frequently Asked Questions on LCM of 2166 and 2173
1. What is the LCM of 2166 and 2173?
Answer: LCM of 2166 and 2173 is 4706718.
2. 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.
3. What are the Factors of 2173?
Answer: Factors of 2173 are 1, 41, 53, 2173. There are 4 integers that are factors of 2173. The greatest factor of 2173 is 2173.
4. How to Find the LCM of 2166 and 2173?
Answer:
Least Common Multiple of 2166 and 2173 = 4706718
Step 1: Find the prime factorization of 2166
2166 = 2 x 3 x 19 x 19
Step 2: Find the prime factorization of 2173
2173 = 41 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4706718 = 2 x 3 x 19 x 19 x 41 x 53
Step 4: Therefore, the least common multiple of 2166 and 2173 is 4706718.