Least Common Multiple of 2041 and 2049
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2041 and 2049 the smallest integer that is 4182009 that is divisible by both numbers.
Least Common Multiple (LCM) of 2041 and 2049 is 4182009.
LCM(2041,2049) = 4182009
LCM of 2041 and 2049
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2041 and 2049 by Prime method
- Least Common Multiple of 2041 and 2049 with GCF Formula
LCM of 2041 and 2049 is 4182009
Least common multiple can be found by multiplying the highest exponent prime factors of 2041 and 2049. First we will calculate the prime factors of 2041 and 2049.
Prime Factorization of 2041
| 13 | 2041 |
| 157 | 157 |
| 1 |
Prime factors of 2041 are 13,157. Prime factorization of 2041 in exponential form is:
2041 = 131×1571
Prime Factorization of 2049
| 3 | 2049 |
| 683 | 683 |
| 1 |
Prime factors of 2049 are 3,683. Prime factorization of 2049 in exponential form is:
2049 = 31×6831
Now multiplying the highest exponent prime factors to calculate the LCM of 2041 and 2049.
LCM(2041,2049) = 31×131×1571×6831
LCM(2041,2049) = 4182009
Factors of 2041
List of positive integer factors of 2041 that divides 2041 without a remainder.
1, 13, 157, 2041
Factors of 2049
List of positive integer factors of 2049 that divides 2049 without a remainder.
1, 3, 683, 2049
Least Common Multiple of 2041 and 2049 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2041 and 2049, than apply into the LCM equation.
GCF(2041,2049) = 1
LCM(2041,2049) = ( 2041 × 2049) / 1
LCM(2041,2049) = 4182009 / 1
LCM(2041,2049) = 4182009
Properties of LCM 2041 and 2049
(i) The LCM of 2049 and 2041 is associative
LCM of 2041 and 2049 = LCM of 2049 and 2041
Related Least Common Multiples of 2041
Related Least Common Multiples of 2049
Frequently Asked Questions on LCM of 2041 and 2049
1. What is the LCM of 2041 and 2049?
Answer: LCM of 2041 and 2049 is 4182009.
2. What are the Factors of 2041?
Answer: Factors of 2041 are 1, 13, 157, 2041. There are 4 integers that are factors of 2041. The greatest factor of 2041 is 2041.
3. What are the Factors of 2049?
Answer: Factors of 2049 are 1, 3, 683, 2049. There are 4 integers that are factors of 2049. The greatest factor of 2049 is 2049.
4. How to Find the LCM of 2041 and 2049?
Answer:
Least Common Multiple of 2041 and 2049 = 4182009
Step 1: Find the prime factorization of 2041
2041 = 13 x 157
Step 2: Find the prime factorization of 2049
2049 = 3 x 683
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4182009 = 3 x 13 x 157 x 683
Step 4: Therefore, the least common multiple of 2041 and 2049 is 4182009.