Least Common Multiple of 2162 and 2167
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 2167 the smallest integer that is 4685054 that is divisible by both numbers.
Least Common Multiple (LCM) of 2162 and 2167 is 4685054.
LCM(2162,2167) = 4685054
LCM of 2162 and 2167
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2162 and 2167 by Prime method
- Least Common Multiple of 2162 and 2167 with GCF Formula
LCM of 2162 and 2167 is 4685054
Least common multiple can be found by multiplying the highest exponent prime factors of 2162 and 2167. First we will calculate the prime factors of 2162 and 2167.
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 2167
| 11 | 2167 |
| 197 | 197 |
| 1 |
Prime factors of 2167 are 11,197. Prime factorization of 2167 in exponential form is:
2167 = 111×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 2162 and 2167.
LCM(2162,2167) = 21×111×231×471×1971
LCM(2162,2167) = 4685054
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 2167
List of positive integer factors of 2167 that divides 2167 without a remainder.
1, 11, 197, 2167
Least Common Multiple of 2162 and 2167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2162 and 2167, than apply into the LCM equation.
GCF(2162,2167) = 1
LCM(2162,2167) = ( 2162 × 2167) / 1
LCM(2162,2167) = 4685054 / 1
LCM(2162,2167) = 4685054
Properties of LCM 2162 and 2167
(i) The LCM of 2167 and 2162 is associative
LCM of 2162 and 2167 = LCM of 2167 and 2162
Related Least Common Multiples of 2162
Related Least Common Multiples of 2167
Frequently Asked Questions on LCM of 2162 and 2167
1. What is the LCM of 2162 and 2167?
Answer: LCM of 2162 and 2167 is 4685054.
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 2167?
Answer: Factors of 2167 are 1, 11, 197, 2167. There are 4 integers that are factors of 2167. The greatest factor of 2167 is 2167.
4. How to Find the LCM of 2162 and 2167?
Answer:
Least Common Multiple of 2162 and 2167 = 4685054
Step 1: Find the prime factorization of 2162
2162 = 2 x 23 x 47
Step 2: Find the prime factorization of 2167
2167 = 11 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4685054 = 2 x 11 x 23 x 47 x 197
Step 4: Therefore, the least common multiple of 2162 and 2167 is 4685054.
