Least Common Multiple of 2091 and 2099
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2091 and 2099 the smallest integer that is 4389009 that is divisible by both numbers.
Least Common Multiple (LCM) of 2091 and 2099 is 4389009.
LCM(2091,2099) = 4389009
LCM of 2091 and 2099
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2091 and 2099 by Prime method
- Least Common Multiple of 2091 and 2099 with GCF Formula
LCM of 2091 and 2099 is 4389009
Least common multiple can be found by multiplying the highest exponent prime factors of 2091 and 2099. First we will calculate the prime factors of 2091 and 2099.
Prime Factorization of 2091
| 3 | 2091 |
| 17 | 697 |
| 41 | 41 |
| 1 |
Prime factors of 2091 are 3, 17,41. Prime factorization of 2091 in exponential form is:
2091 = 31×171×411
Prime Factorization of 2099
| 2099 | 2099 |
| 1 |
Prime factors of 2099 are 2099. Prime factorization of 2099 in exponential form is:
2099 = 20991
Now multiplying the highest exponent prime factors to calculate the LCM of 2091 and 2099.
LCM(2091,2099) = 31×171×411×20991
LCM(2091,2099) = 4389009
Factors of 2091
List of positive integer factors of 2091 that divides 2091 without a remainder.
1, 3, 17, 41, 51, 123, 697, 2091
Factors of 2099
List of positive integer factors of 2099 that divides 2099 without a remainder.
1, 2099
Least Common Multiple of 2091 and 2099 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2091 and 2099, than apply into the LCM equation.
GCF(2091,2099) = 1
LCM(2091,2099) = ( 2091 × 2099) / 1
LCM(2091,2099) = 4389009 / 1
LCM(2091,2099) = 4389009
Properties of LCM 2091 and 2099
(i) The LCM of 2099 and 2091 is associative
LCM of 2091 and 2099 = LCM of 2099 and 2091
Related Least Common Multiples of 2091
Related Least Common Multiples of 2099
Frequently Asked Questions on LCM of 2091 and 2099
1. What is the LCM of 2091 and 2099?
Answer: LCM of 2091 and 2099 is 4389009.
2. What are the Factors of 2091?
Answer: Factors of 2091 are 1, 3, 17, 41, 51, 123, 697, 2091. There are 8 integers that are factors of 2091. The greatest factor of 2091 is 2091.
3. What are the Factors of 2099?
Answer: Factors of 2099 are 1, 2099. There are 2 integers that are factors of 2099. The greatest factor of 2099 is 2099.
4. How to Find the LCM of 2091 and 2099?
Answer:
Least Common Multiple of 2091 and 2099 = 4389009
Step 1: Find the prime factorization of 2091
2091 = 3 x 17 x 41
Step 2: Find the prime factorization of 2099
2099 = 2099
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4389009 = 3 x 17 x 41 x 2099
Step 4: Therefore, the least common multiple of 2091 and 2099 is 4389009.