Least Common Multiple of 6031 and 6036
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 6036 the smallest integer that is 36403116 that is divisible by both numbers.
Least Common Multiple (LCM) of 6031 and 6036 is 36403116.
LCM(6031,6036) = 36403116
LCM of 6031 and 6036
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6031 and 6036 by Prime method
- Least Common Multiple of 6031 and 6036 with GCF Formula
LCM of 6031 and 6036 is 36403116
Least common multiple can be found by multiplying the highest exponent prime factors of 6031 and 6036. First we will calculate the prime factors of 6031 and 6036.
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 6036
| 2 | 6036 |
| 2 | 3018 |
| 3 | 1509 |
| 503 | 503 |
| 1 |
Prime factors of 6036 are 2, 3,503. Prime factorization of 6036 in exponential form is:
6036 = 22×31×5031
Now multiplying the highest exponent prime factors to calculate the LCM of 6031 and 6036.
LCM(6031,6036) = 22×31×371×1631×5031
LCM(6031,6036) = 36403116
Factors of 6031
List of positive integer factors of 6031 that divides 6031 without a remainder.
1, 37, 163, 6031
Factors of 6036
List of positive integer factors of 6036 that divides 6036 without a remainder.
1, 2, 3, 4, 6, 12, 503, 1006, 1509, 2012, 3018, 6036
Least Common Multiple of 6031 and 6036 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 6036, than apply into the LCM equation.
GCF(6031,6036) = 1
LCM(6031,6036) = ( 6031 × 6036) / 1
LCM(6031,6036) = 36403116 / 1
LCM(6031,6036) = 36403116
Properties of LCM 6031 and 6036
(i) The LCM of 6036 and 6031 is associative
LCM of 6031 and 6036 = LCM of 6036 and 6031
Related Least Common Multiples of 6031
Related Least Common Multiples of 6036
Frequently Asked Questions on LCM of 6031 and 6036
1. What is the LCM of 6031 and 6036?
Answer: LCM of 6031 and 6036 is 36403116.
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 6036?
Answer: Factors of 6036 are 1, 2, 3, 4, 6, 12, 503, 1006, 1509, 2012, 3018, 6036. There are 12 integers that are factors of 6036. The greatest factor of 6036 is 6036.
4. How to Find the LCM of 6031 and 6036?
Answer:
Least Common Multiple of 6031 and 6036 = 36403116
Step 1: Find the prime factorization of 6031
6031 = 37 x 163
Step 2: Find the prime factorization of 6036
6036 = 2 x 2 x 3 x 503
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36403116 = 2 x 2 x 3 x 37 x 163 x 503
Step 4: Therefore, the least common multiple of 6031 and 6036 is 36403116.