Least Common Multiple of 2037 and 2041
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2037 and 2041 the smallest integer that is 4157517 that is divisible by both numbers.
Least Common Multiple (LCM) of 2037 and 2041 is 4157517.
LCM(2037,2041) = 4157517
LCM of 2037 and 2041
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2037 and 2041 by Prime method
- Least Common Multiple of 2037 and 2041 with GCF Formula
LCM of 2037 and 2041 is 4157517
Least common multiple can be found by multiplying the highest exponent prime factors of 2037 and 2041. First we will calculate the prime factors of 2037 and 2041.
Prime Factorization of 2037
| 3 | 2037 |
| 7 | 679 |
| 97 | 97 |
| 1 |
Prime factors of 2037 are 3, 7,97. Prime factorization of 2037 in exponential form is:
2037 = 31×71×971
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2037 and 2041.
LCM(2037,2041) = 31×71×131×971×1571
LCM(2037,2041) = 4157517
Factors of 2037
List of positive integer factors of 2037 that divides 2037 without a remainder.
1, 3, 7, 21, 97, 291, 679, 2037
Factors of 2041
List of positive integer factors of 2041 that divides 2041 without a remainder.
1, 13, 157, 2041
Least Common Multiple of 2037 and 2041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2037 and 2041, than apply into the LCM equation.
GCF(2037,2041) = 1
LCM(2037,2041) = ( 2037 × 2041) / 1
LCM(2037,2041) = 4157517 / 1
LCM(2037,2041) = 4157517
Properties of LCM 2037 and 2041
(i) The LCM of 2041 and 2037 is associative
LCM of 2037 and 2041 = LCM of 2041 and 2037
Related Least Common Multiples of 2037
Related Least Common Multiples of 2041
Frequently Asked Questions on LCM of 2037 and 2041
1. What is the LCM of 2037 and 2041?
Answer: LCM of 2037 and 2041 is 4157517.
2. What are the Factors of 2037?
Answer: Factors of 2037 are 1, 3, 7, 21, 97, 291, 679, 2037. There are 8 integers that are factors of 2037. The greatest factor of 2037 is 2037.
3. 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.
4. How to Find the LCM of 2037 and 2041?
Answer:
Least Common Multiple of 2037 and 2041 = 4157517
Step 1: Find the prime factorization of 2037
2037 = 3 x 7 x 97
Step 2: Find the prime factorization of 2041
2041 = 13 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4157517 = 3 x 7 x 13 x 97 x 157
Step 4: Therefore, the least common multiple of 2037 and 2041 is 4157517.