Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2162 and 2163 the smallest integer that is 4676406 that is divisible by both numbers.
Least Common Multiple (LCM) of 2162 and 2163 is 4676406.
LCM(2162,2163) = 4676406
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2162 and 2163. First we will calculate the prime factors of 2162 and 2163.
Prime Factorization of 2162
2 | 2162 |
23 | 1081 |
47 | 47 |
1 |
Prime factors of 2162 are 2, 23,47. Prime factorization of 2162 in exponential form is:
2162 = 21×231×471
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 2162 and 2163.
LCM(2162,2163) = 21×31×71×231×471×1031
LCM(2162,2163) = 4676406
Factors of 2162
List of positive integer factors of 2162 that divides 2162 without a remainder.
1, 2, 23, 46, 47, 94, 1081, 2162
Factors of 2163
List of positive integer factors of 2163 that divides 2163 without a remainder.
1, 3, 7, 21, 103, 309, 721, 2163
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2162 and 2163, than apply into the LCM equation.
GCF(2162,2163) = 1
LCM(2162,2163) = ( 2162 × 2163) / 1
LCM(2162,2163) = 4676406 / 1
LCM(2162,2163) = 4676406
(i) The LCM of 2163 and 2162 is associative
LCM of 2162 and 2163 = LCM of 2163 and 2162
1. What is the LCM of 2162 and 2163?
Answer: LCM of 2162 and 2163 is 4676406.
2. What are the Factors of 2162?
Answer: Factors of 2162 are 1, 2, 23, 46, 47, 94, 1081, 2162. There are 8 integers that are factors of 2162. The greatest factor of 2162 is 2162.
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 2162 and 2163?
Answer:
Least Common Multiple of 2162 and 2163 = 4676406
Step 1: Find the prime factorization of 2162
2162 = 2 x 23 x 47
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 = 4676406 = 2 x 3 x 7 x 23 x 47 x 103
Step 4: Therefore, the least common multiple of 2162 and 2163 is 4676406.