Least Common Multiple of 2163 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 2163 and 2171 the smallest integer that is 4695873 that is divisible by both numbers.
Least Common Multiple (LCM) of 2163 and 2171 is 4695873.
LCM(2163,2171) = 4695873
LCM of 2163 and 2171
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2163 and 2171 by Prime method
- Least Common Multiple of 2163 and 2171 with GCF Formula
LCM of 2163 and 2171 is 4695873
Least common multiple can be found by multiplying the highest exponent prime factors of 2163 and 2171. First we will calculate the prime factors of 2163 and 2171.
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 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 2163 and 2171.
LCM(2163,2171) = 31×71×131×1031×1671
LCM(2163,2171) = 4695873
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 2171
List of positive integer factors of 2171 that divides 2171 without a remainder.
1, 13, 167, 2171
Least Common Multiple of 2163 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 2163 and 2171, than apply into the LCM equation.
GCF(2163,2171) = 1
LCM(2163,2171) = ( 2163 × 2171) / 1
LCM(2163,2171) = 4695873 / 1
LCM(2163,2171) = 4695873
Properties of LCM 2163 and 2171
(i) The LCM of 2171 and 2163 is associative
LCM of 2163 and 2171 = LCM of 2171 and 2163
Related Least Common Multiples of 2163
Related Least Common Multiples of 2171
Frequently Asked Questions on LCM of 2163 and 2171
1. What is the LCM of 2163 and 2171?
Answer: LCM of 2163 and 2171 is 4695873.
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 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 2163 and 2171?
Answer:
Least Common Multiple of 2163 and 2171 = 4695873
Step 1: Find the prime factorization of 2163
2163 = 3 x 7 x 103
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 = 4695873 = 3 x 7 x 13 x 103 x 167
Step 4: Therefore, the least common multiple of 2163 and 2171 is 4695873.
