Least Common Multiple of 2158 and 2165
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2158 and 2165 the smallest integer that is 4672070 that is divisible by both numbers.
Least Common Multiple (LCM) of 2158 and 2165 is 4672070.
LCM(2158,2165) = 4672070
LCM of 2158 and 2165
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2158 and 2165 by Prime method
- Least Common Multiple of 2158 and 2165 with GCF Formula
LCM of 2158 and 2165 is 4672070
Least common multiple can be found by multiplying the highest exponent prime factors of 2158 and 2165. First we will calculate the prime factors of 2158 and 2165.
Prime Factorization of 2158
| 2 | 2158 |
| 13 | 1079 |
| 83 | 83 |
| 1 |
Prime factors of 2158 are 2, 13,83. Prime factorization of 2158 in exponential form is:
2158 = 21×131×831
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2158 and 2165.
LCM(2158,2165) = 21×51×131×831×4331
LCM(2158,2165) = 4672070
Factors of 2158
List of positive integer factors of 2158 that divides 2158 without a remainder.
1, 2, 13, 26, 83, 166, 1079, 2158
Factors of 2165
List of positive integer factors of 2165 that divides 2165 without a remainder.
1, 5, 433, 2165
Least Common Multiple of 2158 and 2165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2158 and 2165, than apply into the LCM equation.
GCF(2158,2165) = 1
LCM(2158,2165) = ( 2158 × 2165) / 1
LCM(2158,2165) = 4672070 / 1
LCM(2158,2165) = 4672070
Properties of LCM 2158 and 2165
(i) The LCM of 2165 and 2158 is associative
LCM of 2158 and 2165 = LCM of 2165 and 2158
Related Least Common Multiples of 2158
Related Least Common Multiples of 2165
Frequently Asked Questions on LCM of 2158 and 2165
1. What is the LCM of 2158 and 2165?
Answer: LCM of 2158 and 2165 is 4672070.
2. What are the Factors of 2158?
Answer: Factors of 2158 are 1, 2, 13, 26, 83, 166, 1079, 2158. There are 8 integers that are factors of 2158. The greatest factor of 2158 is 2158.
3. 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.
4. How to Find the LCM of 2158 and 2165?
Answer:
Least Common Multiple of 2158 and 2165 = 4672070
Step 1: Find the prime factorization of 2158
2158 = 2 x 13 x 83
Step 2: Find the prime factorization of 2165
2165 = 5 x 433
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4672070 = 2 x 5 x 13 x 83 x 433
Step 4: Therefore, the least common multiple of 2158 and 2165 is 4672070.