Least Common Multiple of 2167 and 2173
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2167 and 2173 the smallest integer that is 4708891 that is divisible by both numbers.
Least Common Multiple (LCM) of 2167 and 2173 is 4708891.
LCM(2167,2173) = 4708891
LCM of 2167 and 2173
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2167 and 2173 by Prime method
- Least Common Multiple of 2167 and 2173 with GCF Formula
LCM of 2167 and 2173 is 4708891
Least common multiple can be found by multiplying the highest exponent prime factors of 2167 and 2173. First we will calculate the prime factors of 2167 and 2173.
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
Prime Factorization of 2173
| 41 | 2173 |
| 53 | 53 |
| 1 |
Prime factors of 2173 are 41,53. Prime factorization of 2173 in exponential form is:
2173 = 411×531
Now multiplying the highest exponent prime factors to calculate the LCM of 2167 and 2173.
LCM(2167,2173) = 111×411×531×1971
LCM(2167,2173) = 4708891
Factors of 2167
List of positive integer factors of 2167 that divides 2167 without a remainder.
1, 11, 197, 2167
Factors of 2173
List of positive integer factors of 2173 that divides 2173 without a remainder.
1, 41, 53, 2173
Least Common Multiple of 2167 and 2173 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2167 and 2173, than apply into the LCM equation.
GCF(2167,2173) = 1
LCM(2167,2173) = ( 2167 × 2173) / 1
LCM(2167,2173) = 4708891 / 1
LCM(2167,2173) = 4708891
Properties of LCM 2167 and 2173
(i) The LCM of 2173 and 2167 is associative
LCM of 2167 and 2173 = LCM of 2173 and 2167
Related Least Common Multiples of 2167
Related Least Common Multiples of 2173
Frequently Asked Questions on LCM of 2167 and 2173
1. What is the LCM of 2167 and 2173?
Answer: LCM of 2167 and 2173 is 4708891.
2. 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.
3. What are the Factors of 2173?
Answer: Factors of 2173 are 1, 41, 53, 2173. There are 4 integers that are factors of 2173. The greatest factor of 2173 is 2173.
4. How to Find the LCM of 2167 and 2173?
Answer:
Least Common Multiple of 2167 and 2173 = 4708891
Step 1: Find the prime factorization of 2167
2167 = 11 x 197
Step 2: Find the prime factorization of 2173
2173 = 41 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4708891 = 11 x 41 x 53 x 197
Step 4: Therefore, the least common multiple of 2167 and 2173 is 4708891.