Least Common Multiple of 2033 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 2033 and 2037 the smallest integer that is 4141221 that is divisible by both numbers.
Least Common Multiple (LCM) of 2033 and 2037 is 4141221.
LCM(2033,2037) = 4141221
LCM of 2033 and 2037
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2033 and 2037 by Prime method
- Least Common Multiple of 2033 and 2037 with GCF Formula
LCM of 2033 and 2037 is 4141221
Least common multiple can be found by multiplying the highest exponent prime factors of 2033 and 2037. First we will calculate the prime factors of 2033 and 2037.
Prime Factorization of 2033
| 19 | 2033 |
| 107 | 107 |
| 1 |
Prime factors of 2033 are 19,107. Prime factorization of 2033 in exponential form is:
2033 = 191×1071
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 2033 and 2037.
LCM(2033,2037) = 31×71×191×971×1071
LCM(2033,2037) = 4141221
Factors of 2033
List of positive integer factors of 2033 that divides 2033 without a remainder.
1, 19, 107, 2033
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 2033 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 2033 and 2037, than apply into the LCM equation.
GCF(2033,2037) = 1
LCM(2033,2037) = ( 2033 × 2037) / 1
LCM(2033,2037) = 4141221 / 1
LCM(2033,2037) = 4141221
Properties of LCM 2033 and 2037
(i) The LCM of 2037 and 2033 is associative
LCM of 2033 and 2037 = LCM of 2037 and 2033
Related Least Common Multiples of 2033
Related Least Common Multiples of 2037
Frequently Asked Questions on LCM of 2033 and 2037
1. What is the LCM of 2033 and 2037?
Answer: LCM of 2033 and 2037 is 4141221.
2. What are the Factors of 2033?
Answer: Factors of 2033 are 1, 19, 107, 2033. There are 4 integers that are factors of 2033. The greatest factor of 2033 is 2033.
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 2033 and 2037?
Answer:
Least Common Multiple of 2033 and 2037 = 4141221
Step 1: Find the prime factorization of 2033
2033 = 19 x 107
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 = 4141221 = 3 x 7 x 19 x 97 x 107
Step 4: Therefore, the least common multiple of 2033 and 2037 is 4141221.