Least Common Multiple of 2035 and 2037
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2035 and 2037 the smallest integer that is 4145295 that is divisible by both numbers.
Least Common Multiple (LCM) of 2035 and 2037 is 4145295.
LCM(2035,2037) = 4145295
LCM of 2035 and 2037
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2035 and 2037 by Prime method
- Least Common Multiple of 2035 and 2037 with GCF Formula
LCM of 2035 and 2037 is 4145295
Least common multiple can be found by multiplying the highest exponent prime factors of 2035 and 2037. First we will calculate the prime factors of 2035 and 2037.
Prime Factorization of 2035
| 5 | 2035 |
| 11 | 407 |
| 37 | 37 |
| 1 |
Prime factors of 2035 are 5, 11,37. Prime factorization of 2035 in exponential form is:
2035 = 51×111×371
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2035 and 2037.
LCM(2035,2037) = 31×51×71×111×371×971
LCM(2035,2037) = 4145295
Factors of 2035
List of positive integer factors of 2035 that divides 2035 without a remainder.
1, 5, 11, 37, 55, 185, 407, 2035
Factors of 2037
List of positive integer factors of 2037 that divides 2037 without a remainder.
1, 3, 7, 21, 97, 291, 679, 2037
Least Common Multiple of 2035 and 2037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2035 and 2037, than apply into the LCM equation.
GCF(2035,2037) = 1
LCM(2035,2037) = ( 2035 × 2037) / 1
LCM(2035,2037) = 4145295 / 1
LCM(2035,2037) = 4145295
Properties of LCM 2035 and 2037
(i) The LCM of 2037 and 2035 is associative
LCM of 2035 and 2037 = LCM of 2037 and 2035
Related Least Common Multiples of 2035
Related Least Common Multiples of 2037
Frequently Asked Questions on LCM of 2035 and 2037
1. What is the LCM of 2035 and 2037?
Answer: LCM of 2035 and 2037 is 4145295.
2. What are the Factors of 2035?
Answer: Factors of 2035 are 1, 5, 11, 37, 55, 185, 407, 2035. There are 8 integers that are factors of 2035. The greatest factor of 2035 is 2035.
3. 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.
4. How to Find the LCM of 2035 and 2037?
Answer:
Least Common Multiple of 2035 and 2037 = 4145295
Step 1: Find the prime factorization of 2035
2035 = 5 x 11 x 37
Step 2: Find the prime factorization of 2037
2037 = 3 x 7 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4145295 = 3 x 5 x 7 x 11 x 37 x 97
Step 4: Therefore, the least common multiple of 2035 and 2037 is 4145295.