Least Common Multiple of 6031 and 6033
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 6033 the smallest integer that is 36385023 that is divisible by both numbers.
Least Common Multiple (LCM) of 6031 and 6033 is 36385023.
LCM(6031,6033) = 36385023
LCM of 6031 and 6033
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6031 and 6033 by Prime method
- Least Common Multiple of 6031 and 6033 with GCF Formula
LCM of 6031 and 6033 is 36385023
Least common multiple can be found by multiplying the highest exponent prime factors of 6031 and 6033. First we will calculate the prime factors of 6031 and 6033.
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 6033
| 3 | 6033 |
| 2011 | 2011 |
| 1 |
Prime factors of 6033 are 3,2011. Prime factorization of 6033 in exponential form is:
6033 = 31×20111
Now multiplying the highest exponent prime factors to calculate the LCM of 6031 and 6033.
LCM(6031,6033) = 31×371×1631×20111
LCM(6031,6033) = 36385023
Factors of 6031
List of positive integer factors of 6031 that divides 6031 without a remainder.
1, 37, 163, 6031
Factors of 6033
List of positive integer factors of 6033 that divides 6033 without a remainder.
1, 3, 2011, 6033
Least Common Multiple of 6031 and 6033 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 6033, than apply into the LCM equation.
GCF(6031,6033) = 1
LCM(6031,6033) = ( 6031 × 6033) / 1
LCM(6031,6033) = 36385023 / 1
LCM(6031,6033) = 36385023
Properties of LCM 6031 and 6033
(i) The LCM of 6033 and 6031 is associative
LCM of 6031 and 6033 = LCM of 6033 and 6031
Related Least Common Multiples of 6031
Related Least Common Multiples of 6033
Frequently Asked Questions on LCM of 6031 and 6033
1. What is the LCM of 6031 and 6033?
Answer: LCM of 6031 and 6033 is 36385023.
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 6033?
Answer: Factors of 6033 are 1, 3, 2011, 6033. There are 4 integers that are factors of 6033. The greatest factor of 6033 is 6033.
4. How to Find the LCM of 6031 and 6033?
Answer:
Least Common Multiple of 6031 and 6033 = 36385023
Step 1: Find the prime factorization of 6031
6031 = 37 x 163
Step 2: Find the prime factorization of 6033
6033 = 3 x 2011
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36385023 = 3 x 37 x 163 x 2011
Step 4: Therefore, the least common multiple of 6031 and 6033 is 36385023.