Least Common Multiple of 2030 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 2030 and 2037 the smallest integer that is 590730 that is divisible by both numbers.
Least Common Multiple (LCM) of 2030 and 2037 is 590730.
LCM(2030,2037) = 590730
LCM of 2030 and 2037
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2030 and 2037 by Prime method
- Least Common Multiple of 2030 and 2037 with GCF Formula
LCM of 2030 and 2037 is 590730
Least common multiple can be found by multiplying the highest exponent prime factors of 2030 and 2037. First we will calculate the prime factors of 2030 and 2037.
Prime Factorization of 2030
| 2 | 2030 |
| 5 | 1015 |
| 7 | 203 |
| 29 | 29 |
| 1 |
Prime factors of 2030 are 2, 5, 7,29. Prime factorization of 2030 in exponential form is:
2030 = 21×51×71×291
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 2030 and 2037.
LCM(2030,2037) = 21×31×51×71×291×971
LCM(2030,2037) = 590730
Factors of 2030
List of positive integer factors of 2030 that divides 2030 without a remainder.
1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015, 2030
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 2030 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 2030 and 2037, than apply into the LCM equation.
GCF(2030,2037) = 7
LCM(2030,2037) = ( 2030 × 2037) / 7
LCM(2030,2037) = 4135110 / 7
LCM(2030,2037) = 590730
Properties of LCM 2030 and 2037
(i) The LCM of 2037 and 2030 is associative
LCM of 2030 and 2037 = LCM of 2037 and 2030
Related Least Common Multiples of 2030
Related Least Common Multiples of 2037
Frequently Asked Questions on LCM of 2030 and 2037
1. What is the LCM of 2030 and 2037?
Answer: LCM of 2030 and 2037 is 590730.
2. What are the Factors of 2030?
Answer: Factors of 2030 are 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015, 2030. There are 16 integers that are factors of 2030. The greatest factor of 2030 is 2030.
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 2030 and 2037?
Answer:
Least Common Multiple of 2030 and 2037 = 590730
Step 1: Find the prime factorization of 2030
2030 = 2 x 5 x 7 x 29
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 = 590730 = 2 x 3 x 5 x 7 x 29 x 97
Step 4: Therefore, the least common multiple of 2030 and 2037 is 590730.
