Least Common Multiple of 2165 and 2171
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 2171 the smallest integer that is 4700215 that is divisible by both numbers.
Least Common Multiple (LCM) of 2165 and 2171 is 4700215.
LCM(2165,2171) = 4700215
LCM of 2165 and 2171
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2165 and 2171 by Prime method
- Least Common Multiple of 2165 and 2171 with GCF Formula
LCM of 2165 and 2171 is 4700215
Least common multiple can be found by multiplying the highest exponent prime factors of 2165 and 2171. First we will calculate the prime factors of 2165 and 2171.
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 2171
| 13 | 2171 |
| 167 | 167 |
| 1 |
Prime factors of 2171 are 13,167. Prime factorization of 2171 in exponential form is:
2171 = 131×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 2165 and 2171.
LCM(2165,2171) = 51×131×1671×4331
LCM(2165,2171) = 4700215
Factors of 2165
List of positive integer factors of 2165 that divides 2165 without a remainder.
1, 5, 433, 2165
Factors of 2171
List of positive integer factors of 2171 that divides 2171 without a remainder.
1, 13, 167, 2171
Least Common Multiple of 2165 and 2171 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 2171, than apply into the LCM equation.
GCF(2165,2171) = 1
LCM(2165,2171) = ( 2165 × 2171) / 1
LCM(2165,2171) = 4700215 / 1
LCM(2165,2171) = 4700215
Properties of LCM 2165 and 2171
(i) The LCM of 2171 and 2165 is associative
LCM of 2165 and 2171 = LCM of 2171 and 2165
Related Least Common Multiples of 2165
Related Least Common Multiples of 2171
Frequently Asked Questions on LCM of 2165 and 2171
1. What is the LCM of 2165 and 2171?
Answer: LCM of 2165 and 2171 is 4700215.
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 2171?
Answer: Factors of 2171 are 1, 13, 167, 2171. There are 4 integers that are factors of 2171. The greatest factor of 2171 is 2171.
4. How to Find the LCM of 2165 and 2171?
Answer:
Least Common Multiple of 2165 and 2171 = 4700215
Step 1: Find the prime factorization of 2165
2165 = 5 x 433
Step 2: Find the prime factorization of 2171
2171 = 13 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4700215 = 5 x 13 x 167 x 433
Step 4: Therefore, the least common multiple of 2165 and 2171 is 4700215.