Least Common Multiple of 6031 and 6038
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6031 and 6038 the smallest integer that is 36415178 that is divisible by both numbers.
Least Common Multiple (LCM) of 6031 and 6038 is 36415178.
LCM(6031,6038) = 36415178
LCM of 6031 and 6038
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6031 and 6038 by Prime method
- Least Common Multiple of 6031 and 6038 with GCF Formula
LCM of 6031 and 6038 is 36415178
Least common multiple can be found by multiplying the highest exponent prime factors of 6031 and 6038. First we will calculate the prime factors of 6031 and 6038.
Prime Factorization of 6031
| 37 | 6031 |
| 163 | 163 |
| 1 |
Prime factors of 6031 are 37,163. Prime factorization of 6031 in exponential form is:
6031 = 371×1631
Prime Factorization of 6038
| 2 | 6038 |
| 3019 | 3019 |
| 1 |
Prime factors of 6038 are 2,3019. Prime factorization of 6038 in exponential form is:
6038 = 21×30191
Now multiplying the highest exponent prime factors to calculate the LCM of 6031 and 6038.
LCM(6031,6038) = 21×371×1631×30191
LCM(6031,6038) = 36415178
Factors of 6031
List of positive integer factors of 6031 that divides 6031 without a remainder.
1, 37, 163, 6031
Factors of 6038
List of positive integer factors of 6038 that divides 6038 without a remainder.
1, 2, 3019, 6038
Least Common Multiple of 6031 and 6038 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6031 and 6038, than apply into the LCM equation.
GCF(6031,6038) = 1
LCM(6031,6038) = ( 6031 × 6038) / 1
LCM(6031,6038) = 36415178 / 1
LCM(6031,6038) = 36415178
Properties of LCM 6031 and 6038
(i) The LCM of 6038 and 6031 is associative
LCM of 6031 and 6038 = LCM of 6038 and 6031
Related Least Common Multiples of 6031
Related Least Common Multiples of 6038
Frequently Asked Questions on LCM of 6031 and 6038
1. What is the LCM of 6031 and 6038?
Answer: LCM of 6031 and 6038 is 36415178.
2. What are the Factors of 6031?
Answer: Factors of 6031 are 1, 37, 163, 6031. There are 4 integers that are factors of 6031. The greatest factor of 6031 is 6031.
3. What are the Factors of 6038?
Answer: Factors of 6038 are 1, 2, 3019, 6038. There are 4 integers that are factors of 6038. The greatest factor of 6038 is 6038.
4. How to Find the LCM of 6031 and 6038?
Answer:
Least Common Multiple of 6031 and 6038 = 36415178
Step 1: Find the prime factorization of 6031
6031 = 37 x 163
Step 2: Find the prime factorization of 6038
6038 = 2 x 3019
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36415178 = 2 x 37 x 163 x 3019
Step 4: Therefore, the least common multiple of 6031 and 6038 is 36415178.