Least Common Multiple of 2037 and 2042
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 2042 the smallest integer that is 4159554 that is divisible by both numbers.
Least Common Multiple (LCM) of 2037 and 2042 is 4159554.
LCM(2037,2042) = 4159554
LCM of 2037 and 2042
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2037 and 2042 by Prime method
- Least Common Multiple of 2037 and 2042 with GCF Formula
LCM of 2037 and 2042 is 4159554
Least common multiple can be found by multiplying the highest exponent prime factors of 2037 and 2042. First we will calculate the prime factors of 2037 and 2042.
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 2042
| 2 | 2042 |
| 1021 | 1021 |
| 1 |
Prime factors of 2042 are 2,1021. Prime factorization of 2042 in exponential form is:
2042 = 21×10211
Now multiplying the highest exponent prime factors to calculate the LCM of 2037 and 2042.
LCM(2037,2042) = 21×31×71×971×10211
LCM(2037,2042) = 4159554
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 2042
List of positive integer factors of 2042 that divides 2042 without a remainder.
1, 2, 1021, 2042
Least Common Multiple of 2037 and 2042 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 2042, than apply into the LCM equation.
GCF(2037,2042) = 1
LCM(2037,2042) = ( 2037 × 2042) / 1
LCM(2037,2042) = 4159554 / 1
LCM(2037,2042) = 4159554
Properties of LCM 2037 and 2042
(i) The LCM of 2042 and 2037 is associative
LCM of 2037 and 2042 = LCM of 2042 and 2037
Related Least Common Multiples of 2037
Related Least Common Multiples of 2042
Frequently Asked Questions on LCM of 2037 and 2042
1. What is the LCM of 2037 and 2042?
Answer: LCM of 2037 and 2042 is 4159554.
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 2042?
Answer: Factors of 2042 are 1, 2, 1021, 2042. There are 4 integers that are factors of 2042. The greatest factor of 2042 is 2042.
4. How to Find the LCM of 2037 and 2042?
Answer:
Least Common Multiple of 2037 and 2042 = 4159554
Step 1: Find the prime factorization of 2037
2037 = 3 x 7 x 97
Step 2: Find the prime factorization of 2042
2042 = 2 x 1021
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4159554 = 2 x 3 x 7 x 97 x 1021
Step 4: Therefore, the least common multiple of 2037 and 2042 is 4159554.