Least Common Multiple of 6031 and 6037
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 6037 the smallest integer that is 36409147 that is divisible by both numbers.
Least Common Multiple (LCM) of 6031 and 6037 is 36409147.
LCM(6031,6037) = 36409147
LCM of 6031 and 6037
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6031 and 6037 by Prime method
- Least Common Multiple of 6031 and 6037 with GCF Formula
LCM of 6031 and 6037 is 36409147
Least common multiple can be found by multiplying the highest exponent prime factors of 6031 and 6037. First we will calculate the prime factors of 6031 and 6037.
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 6037
| 6037 | 6037 |
| 1 |
Prime factors of 6037 are 6037. Prime factorization of 6037 in exponential form is:
6037 = 60371
Now multiplying the highest exponent prime factors to calculate the LCM of 6031 and 6037.
LCM(6031,6037) = 371×1631×60371
LCM(6031,6037) = 36409147
Factors of 6031
List of positive integer factors of 6031 that divides 6031 without a remainder.
1, 37, 163, 6031
Factors of 6037
List of positive integer factors of 6037 that divides 6037 without a remainder.
1, 6037
Least Common Multiple of 6031 and 6037 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 6037, than apply into the LCM equation.
GCF(6031,6037) = 1
LCM(6031,6037) = ( 6031 × 6037) / 1
LCM(6031,6037) = 36409147 / 1
LCM(6031,6037) = 36409147
Properties of LCM 6031 and 6037
(i) The LCM of 6037 and 6031 is associative
LCM of 6031 and 6037 = LCM of 6037 and 6031
Related Least Common Multiples of 6031
Related Least Common Multiples of 6037
Frequently Asked Questions on LCM of 6031 and 6037
1. What is the LCM of 6031 and 6037?
Answer: LCM of 6031 and 6037 is 36409147.
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 6037?
Answer: Factors of 6037 are 1, 6037. There are 2 integers that are factors of 6037. The greatest factor of 6037 is 6037.
4. How to Find the LCM of 6031 and 6037?
Answer:
Least Common Multiple of 6031 and 6037 = 36409147
Step 1: Find the prime factorization of 6031
6031 = 37 x 163
Step 2: Find the prime factorization of 6037
6037 = 6037
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36409147 = 37 x 163 x 6037
Step 4: Therefore, the least common multiple of 6031 and 6037 is 36409147.