Least Common Multiple of 2165 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 2165 and 2173 the smallest integer that is 4704545 that is divisible by both numbers.
Least Common Multiple (LCM) of 2165 and 2173 is 4704545.
LCM(2165,2173) = 4704545
LCM of 2165 and 2173
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2165 and 2173 by Prime method
- Least Common Multiple of 2165 and 2173 with GCF Formula
LCM of 2165 and 2173 is 4704545
Least common multiple can be found by multiplying the highest exponent prime factors of 2165 and 2173. First we will calculate the prime factors of 2165 and 2173.
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 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 2165 and 2173.
LCM(2165,2173) = 51×411×531×4331
LCM(2165,2173) = 4704545
Factors of 2165
List of positive integer factors of 2165 that divides 2165 without a remainder.
1, 5, 433, 2165
Factors of 2173
List of positive integer factors of 2173 that divides 2173 without a remainder.
1, 41, 53, 2173
Least Common Multiple of 2165 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 2165 and 2173, than apply into the LCM equation.
GCF(2165,2173) = 1
LCM(2165,2173) = ( 2165 × 2173) / 1
LCM(2165,2173) = 4704545 / 1
LCM(2165,2173) = 4704545
Properties of LCM 2165 and 2173
(i) The LCM of 2173 and 2165 is associative
LCM of 2165 and 2173 = LCM of 2173 and 2165
Related Least Common Multiples of 2165
Related Least Common Multiples of 2173
Frequently Asked Questions on LCM of 2165 and 2173
1. What is the LCM of 2165 and 2173?
Answer: LCM of 2165 and 2173 is 4704545.
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 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 2165 and 2173?
Answer:
Least Common Multiple of 2165 and 2173 = 4704545
Step 1: Find the prime factorization of 2165
2165 = 5 x 433
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 = 4704545 = 5 x 41 x 53 x 433
Step 4: Therefore, the least common multiple of 2165 and 2173 is 4704545.
