Least Common Multiple of 2155 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 2155 and 2163 the smallest integer that is 4661265 that is divisible by both numbers.
Least Common Multiple (LCM) of 2155 and 2163 is 4661265.
LCM(2155,2163) = 4661265
LCM of 2155 and 2163
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2155 and 2163 by Prime method
- Least Common Multiple of 2155 and 2163 with GCF Formula
LCM of 2155 and 2163 is 4661265
Least common multiple can be found by multiplying the highest exponent prime factors of 2155 and 2163. First we will calculate the prime factors of 2155 and 2163.
Prime Factorization of 2155
| 5 | 2155 |
| 431 | 431 |
| 1 |
Prime factors of 2155 are 5,431. Prime factorization of 2155 in exponential form is:
2155 = 51×4311
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 2155 and 2163.
LCM(2155,2163) = 31×51×71×1031×4311
LCM(2155,2163) = 4661265
Factors of 2155
List of positive integer factors of 2155 that divides 2155 without a remainder.
1, 5, 431, 2155
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 2155 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 2155 and 2163, than apply into the LCM equation.
GCF(2155,2163) = 1
LCM(2155,2163) = ( 2155 × 2163) / 1
LCM(2155,2163) = 4661265 / 1
LCM(2155,2163) = 4661265
Properties of LCM 2155 and 2163
(i) The LCM of 2163 and 2155 is associative
LCM of 2155 and 2163 = LCM of 2163 and 2155
Related Least Common Multiples of 2155
Related Least Common Multiples of 2163
Frequently Asked Questions on LCM of 2155 and 2163
1. What is the LCM of 2155 and 2163?
Answer: LCM of 2155 and 2163 is 4661265.
2. What are the Factors of 2155?
Answer: Factors of 2155 are 1, 5, 431, 2155. There are 4 integers that are factors of 2155. The greatest factor of 2155 is 2155.
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 2155 and 2163?
Answer:
Least Common Multiple of 2155 and 2163 = 4661265
Step 1: Find the prime factorization of 2155
2155 = 5 x 431
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 = 4661265 = 3 x 5 x 7 x 103 x 431
Step 4: Therefore, the least common multiple of 2155 and 2163 is 4661265.