Least Common Multiple of 2037 and 2045
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 2045 the smallest integer that is 4165665 that is divisible by both numbers.
Least Common Multiple (LCM) of 2037 and 2045 is 4165665.
LCM(2037,2045) = 4165665
LCM of 2037 and 2045
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2037 and 2045 by Prime method
- Least Common Multiple of 2037 and 2045 with GCF Formula
LCM of 2037 and 2045 is 4165665
Least common multiple can be found by multiplying the highest exponent prime factors of 2037 and 2045. First we will calculate the prime factors of 2037 and 2045.
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 2045
| 5 | 2045 |
| 409 | 409 |
| 1 |
Prime factors of 2045 are 5,409. Prime factorization of 2045 in exponential form is:
2045 = 51×4091
Now multiplying the highest exponent prime factors to calculate the LCM of 2037 and 2045.
LCM(2037,2045) = 31×51×71×971×4091
LCM(2037,2045) = 4165665
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 2045
List of positive integer factors of 2045 that divides 2045 without a remainder.
1, 5, 409, 2045
Least Common Multiple of 2037 and 2045 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 2045, than apply into the LCM equation.
GCF(2037,2045) = 1
LCM(2037,2045) = ( 2037 × 2045) / 1
LCM(2037,2045) = 4165665 / 1
LCM(2037,2045) = 4165665
Properties of LCM 2037 and 2045
(i) The LCM of 2045 and 2037 is associative
LCM of 2037 and 2045 = LCM of 2045 and 2037
Related Least Common Multiples of 2037
Related Least Common Multiples of 2045
Frequently Asked Questions on LCM of 2037 and 2045
1. What is the LCM of 2037 and 2045?
Answer: LCM of 2037 and 2045 is 4165665.
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 2045?
Answer: Factors of 2045 are 1, 5, 409, 2045. There are 4 integers that are factors of 2045. The greatest factor of 2045 is 2045.
4. How to Find the LCM of 2037 and 2045?
Answer:
Least Common Multiple of 2037 and 2045 = 4165665
Step 1: Find the prime factorization of 2037
2037 = 3 x 7 x 97
Step 2: Find the prime factorization of 2045
2045 = 5 x 409
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4165665 = 3 x 5 x 7 x 97 x 409
Step 4: Therefore, the least common multiple of 2037 and 2045 is 4165665.
