Least Common Multiple of 6027 and 6031
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6027 and 6031 the smallest integer that is 36348837 that is divisible by both numbers.
Least Common Multiple (LCM) of 6027 and 6031 is 36348837.
LCM(6027,6031) = 36348837
LCM of 6027 and 6031
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6027 and 6031 by Prime method
- Least Common Multiple of 6027 and 6031 with GCF Formula
LCM of 6027 and 6031 is 36348837
Least common multiple can be found by multiplying the highest exponent prime factors of 6027 and 6031. First we will calculate the prime factors of 6027 and 6031.
Prime Factorization of 6027
| 3 | 6027 |
| 7 | 2009 |
| 7 | 287 |
| 41 | 41 |
| 1 |
Prime factors of 6027 are 3, 7,41. Prime factorization of 6027 in exponential form is:
6027 = 31×72×411
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6027 and 6031.
LCM(6027,6031) = 31×72×371×411×1631
LCM(6027,6031) = 36348837
Factors of 6027
List of positive integer factors of 6027 that divides 6027 without a remainder.
1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027
Factors of 6031
List of positive integer factors of 6031 that divides 6031 without a remainder.
1, 37, 163, 6031
Least Common Multiple of 6027 and 6031 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6027 and 6031, than apply into the LCM equation.
GCF(6027,6031) = 1
LCM(6027,6031) = ( 6027 × 6031) / 1
LCM(6027,6031) = 36348837 / 1
LCM(6027,6031) = 36348837
Properties of LCM 6027 and 6031
(i) The LCM of 6031 and 6027 is associative
LCM of 6027 and 6031 = LCM of 6031 and 6027
Related Least Common Multiples of 6027
Related Least Common Multiples of 6031
Frequently Asked Questions on LCM of 6027 and 6031
1. What is the LCM of 6027 and 6031?
Answer: LCM of 6027 and 6031 is 36348837.
2. What are the Factors of 6027?
Answer: Factors of 6027 are 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027. There are 12 integers that are factors of 6027. The greatest factor of 6027 is 6027.
3. 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.
4. How to Find the LCM of 6027 and 6031?
Answer:
Least Common Multiple of 6027 and 6031 = 36348837
Step 1: Find the prime factorization of 6027
6027 = 3 x 7 x 7 x 41
Step 2: Find the prime factorization of 6031
6031 = 37 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36348837 = 3 x 7 x 7 x 37 x 41 x 163
Step 4: Therefore, the least common multiple of 6027 and 6031 is 36348837.