Least Common Multiple of 2158 and 2163
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 2163 the smallest integer that is 4667754 that is divisible by both numbers.
Least Common Multiple (LCM) of 2158 and 2163 is 4667754.
LCM(2158,2163) = 4667754
LCM of 2158 and 2163
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2158 and 2163 by Prime method
- Least Common Multiple of 2158 and 2163 with GCF Formula
LCM of 2158 and 2163 is 4667754
Least common multiple can be found by multiplying the highest exponent prime factors of 2158 and 2163. First we will calculate the prime factors of 2158 and 2163.
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 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
Now multiplying the highest exponent prime factors to calculate the LCM of 2158 and 2163.
LCM(2158,2163) = 21×31×71×131×831×1031
LCM(2158,2163) = 4667754
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 2163
List of positive integer factors of 2163 that divides 2163 without a remainder.
1, 3, 7, 21, 103, 309, 721, 2163
Least Common Multiple of 2158 and 2163 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 2163, than apply into the LCM equation.
GCF(2158,2163) = 1
LCM(2158,2163) = ( 2158 × 2163) / 1
LCM(2158,2163) = 4667754 / 1
LCM(2158,2163) = 4667754
Properties of LCM 2158 and 2163
(i) The LCM of 2163 and 2158 is associative
LCM of 2158 and 2163 = LCM of 2163 and 2158
Related Least Common Multiples of 2158
Related Least Common Multiples of 2163
Frequently Asked Questions on LCM of 2158 and 2163
1. What is the LCM of 2158 and 2163?
Answer: LCM of 2158 and 2163 is 4667754.
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 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.
4. How to Find the LCM of 2158 and 2163?
Answer:
Least Common Multiple of 2158 and 2163 = 4667754
Step 1: Find the prime factorization of 2158
2158 = 2 x 13 x 83
Step 2: Find the prime factorization of 2163
2163 = 3 x 7 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4667754 = 2 x 3 x 7 x 13 x 83 x 103
Step 4: Therefore, the least common multiple of 2158 and 2163 is 4667754.