Least Common Multiple of 5031 and 5035
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5031 and 5035 the smallest integer that is 25331085 that is divisible by both numbers.
Least Common Multiple (LCM) of 5031 and 5035 is 25331085.
LCM(5031,5035) = 25331085
LCM of 5031 and 5035
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5031 and 5035 by Prime method
- Least Common Multiple of 5031 and 5035 with GCF Formula
LCM of 5031 and 5035 is 25331085
Least common multiple can be found by multiplying the highest exponent prime factors of 5031 and 5035. First we will calculate the prime factors of 5031 and 5035.
Prime Factorization of 5031
| 3 | 5031 |
| 3 | 1677 |
| 13 | 559 |
| 43 | 43 |
| 1 |
Prime factors of 5031 are 3, 13,43. Prime factorization of 5031 in exponential form is:
5031 = 32×131×431
Prime Factorization of 5035
| 5 | 5035 |
| 19 | 1007 |
| 53 | 53 |
| 1 |
Prime factors of 5035 are 5, 19,53. Prime factorization of 5035 in exponential form is:
5035 = 51×191×531
Now multiplying the highest exponent prime factors to calculate the LCM of 5031 and 5035.
LCM(5031,5035) = 32×51×131×191×431×531
LCM(5031,5035) = 25331085
Factors of 5031
List of positive integer factors of 5031 that divides 5031 without a remainder.
1, 3, 9, 13, 39, 43, 117, 129, 387, 559, 1677, 5031
Factors of 5035
List of positive integer factors of 5035 that divides 5035 without a remainder.
1, 5, 19, 53, 95, 265, 1007, 5035
Least Common Multiple of 5031 and 5035 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5031 and 5035, than apply into the LCM equation.
GCF(5031,5035) = 1
LCM(5031,5035) = ( 5031 × 5035) / 1
LCM(5031,5035) = 25331085 / 1
LCM(5031,5035) = 25331085
Properties of LCM 5031 and 5035
(i) The LCM of 5035 and 5031 is associative
LCM of 5031 and 5035 = LCM of 5035 and 5031
Related Least Common Multiples of 5031
Related Least Common Multiples of 5035
Frequently Asked Questions on LCM of 5031 and 5035
1. What is the LCM of 5031 and 5035?
Answer: LCM of 5031 and 5035 is 25331085.
2. What are the Factors of 5031?
Answer: Factors of 5031 are 1, 3, 9, 13, 39, 43, 117, 129, 387, 559, 1677, 5031. There are 12 integers that are factors of 5031. The greatest factor of 5031 is 5031.
3. What are the Factors of 5035?
Answer: Factors of 5035 are 1, 5, 19, 53, 95, 265, 1007, 5035. There are 8 integers that are factors of 5035. The greatest factor of 5035 is 5035.
4. How to Find the LCM of 5031 and 5035?
Answer:
Least Common Multiple of 5031 and 5035 = 25331085
Step 1: Find the prime factorization of 5031
5031 = 3 x 3 x 13 x 43
Step 2: Find the prime factorization of 5035
5035 = 5 x 19 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25331085 = 3 x 3 x 5 x 13 x 19 x 43 x 53
Step 4: Therefore, the least common multiple of 5031 and 5035 is 25331085.