Least Common Multiple of 2159 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 2159 and 2163 the smallest integer that is 4669917 that is divisible by both numbers.
Least Common Multiple (LCM) of 2159 and 2163 is 4669917.
LCM(2159,2163) = 4669917
LCM of 2159 and 2163
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2159 and 2163 by Prime method
- Least Common Multiple of 2159 and 2163 with GCF Formula
LCM of 2159 and 2163 is 4669917
Least common multiple can be found by multiplying the highest exponent prime factors of 2159 and 2163. First we will calculate the prime factors of 2159 and 2163.
Prime Factorization of 2159
| 17 | 2159 |
| 127 | 127 |
| 1 |
Prime factors of 2159 are 17,127. Prime factorization of 2159 in exponential form is:
2159 = 171×1271
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 2159 and 2163.
LCM(2159,2163) = 31×71×171×1031×1271
LCM(2159,2163) = 4669917
Factors of 2159
List of positive integer factors of 2159 that divides 2159 without a remainder.
1, 17, 127, 2159
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 2159 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 2159 and 2163, than apply into the LCM equation.
GCF(2159,2163) = 1
LCM(2159,2163) = ( 2159 × 2163) / 1
LCM(2159,2163) = 4669917 / 1
LCM(2159,2163) = 4669917
Properties of LCM 2159 and 2163
(i) The LCM of 2163 and 2159 is associative
LCM of 2159 and 2163 = LCM of 2163 and 2159
Related Least Common Multiples of 2159
Related Least Common Multiples of 2163
Frequently Asked Questions on LCM of 2159 and 2163
1. What is the LCM of 2159 and 2163?
Answer: LCM of 2159 and 2163 is 4669917.
2. What are the Factors of 2159?
Answer: Factors of 2159 are 1, 17, 127, 2159. There are 4 integers that are factors of 2159. The greatest factor of 2159 is 2159.
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 2159 and 2163?
Answer:
Least Common Multiple of 2159 and 2163 = 4669917
Step 1: Find the prime factorization of 2159
2159 = 17 x 127
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 = 4669917 = 3 x 7 x 17 x 103 x 127
Step 4: Therefore, the least common multiple of 2159 and 2163 is 4669917.