Least Common Multiple of 4037 and 4042
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4037 and 4042 the smallest integer that is 16317554 that is divisible by both numbers.
Least Common Multiple (LCM) of 4037 and 4042 is 16317554.
LCM(4037,4042) = 16317554
LCM of 4037 and 4042
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4037 and 4042 by Prime method
- Least Common Multiple of 4037 and 4042 with GCF Formula
LCM of 4037 and 4042 is 16317554
Least common multiple can be found by multiplying the highest exponent prime factors of 4037 and 4042. First we will calculate the prime factors of 4037 and 4042.
Prime Factorization of 4037
| 11 | 4037 |
| 367 | 367 |
| 1 |
Prime factors of 4037 are 11,367. Prime factorization of 4037 in exponential form is:
4037 = 111×3671
Prime Factorization of 4042
| 2 | 4042 |
| 43 | 2021 |
| 47 | 47 |
| 1 |
Prime factors of 4042 are 2, 43,47. Prime factorization of 4042 in exponential form is:
4042 = 21×431×471
Now multiplying the highest exponent prime factors to calculate the LCM of 4037 and 4042.
LCM(4037,4042) = 21×111×431×471×3671
LCM(4037,4042) = 16317554
Factors of 4037
List of positive integer factors of 4037 that divides 4037 without a remainder.
1, 11, 367, 4037
Factors of 4042
List of positive integer factors of 4042 that divides 4042 without a remainder.
1, 2, 43, 47, 86, 94, 2021, 4042
Least Common Multiple of 4037 and 4042 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4037 and 4042, than apply into the LCM equation.
GCF(4037,4042) = 1
LCM(4037,4042) = ( 4037 × 4042) / 1
LCM(4037,4042) = 16317554 / 1
LCM(4037,4042) = 16317554
Properties of LCM 4037 and 4042
(i) The LCM of 4042 and 4037 is associative
LCM of 4037 and 4042 = LCM of 4042 and 4037
Related Least Common Multiples of 4037
Related Least Common Multiples of 4042
Frequently Asked Questions on LCM of 4037 and 4042
1. What is the LCM of 4037 and 4042?
Answer: LCM of 4037 and 4042 is 16317554.
2. What are the Factors of 4037?
Answer: Factors of 4037 are 1, 11, 367, 4037. There are 4 integers that are factors of 4037. The greatest factor of 4037 is 4037.
3. What are the Factors of 4042?
Answer: Factors of 4042 are 1, 2, 43, 47, 86, 94, 2021, 4042. There are 8 integers that are factors of 4042. The greatest factor of 4042 is 4042.
4. How to Find the LCM of 4037 and 4042?
Answer:
Least Common Multiple of 4037 and 4042 = 16317554
Step 1: Find the prime factorization of 4037
4037 = 11 x 367
Step 2: Find the prime factorization of 4042
4042 = 2 x 43 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16317554 = 2 x 11 x 43 x 47 x 367
Step 4: Therefore, the least common multiple of 4037 and 4042 is 16317554.