Least Common Multiple of 4031 and 4035
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4031 and 4035 the smallest integer that is 16265085 that is divisible by both numbers.
Least Common Multiple (LCM) of 4031 and 4035 is 16265085.
LCM(4031,4035) = 16265085
LCM of 4031 and 4035
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4031 and 4035 by Prime method
- Least Common Multiple of 4031 and 4035 with GCF Formula
LCM of 4031 and 4035 is 16265085
Least common multiple can be found by multiplying the highest exponent prime factors of 4031 and 4035. First we will calculate the prime factors of 4031 and 4035.
Prime Factorization of 4031
| 29 | 4031 |
| 139 | 139 |
| 1 |
Prime factors of 4031 are 29,139. Prime factorization of 4031 in exponential form is:
4031 = 291×1391
Prime Factorization of 4035
| 3 | 4035 |
| 5 | 1345 |
| 269 | 269 |
| 1 |
Prime factors of 4035 are 3, 5,269. Prime factorization of 4035 in exponential form is:
4035 = 31×51×2691
Now multiplying the highest exponent prime factors to calculate the LCM of 4031 and 4035.
LCM(4031,4035) = 31×51×291×1391×2691
LCM(4031,4035) = 16265085
Factors of 4031
List of positive integer factors of 4031 that divides 4031 without a remainder.
1, 29, 139, 4031
Factors of 4035
List of positive integer factors of 4035 that divides 4035 without a remainder.
1, 3, 5, 15, 269, 807, 1345, 4035
Least Common Multiple of 4031 and 4035 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4031 and 4035, than apply into the LCM equation.
GCF(4031,4035) = 1
LCM(4031,4035) = ( 4031 × 4035) / 1
LCM(4031,4035) = 16265085 / 1
LCM(4031,4035) = 16265085
Properties of LCM 4031 and 4035
(i) The LCM of 4035 and 4031 is associative
LCM of 4031 and 4035 = LCM of 4035 and 4031
Related Least Common Multiples of 4031
Related Least Common Multiples of 4035
Frequently Asked Questions on LCM of 4031 and 4035
1. What is the LCM of 4031 and 4035?
Answer: LCM of 4031 and 4035 is 16265085.
2. What are the Factors of 4031?
Answer: Factors of 4031 are 1, 29, 139, 4031. There are 4 integers that are factors of 4031. The greatest factor of 4031 is 4031.
3. What are the Factors of 4035?
Answer: Factors of 4035 are 1, 3, 5, 15, 269, 807, 1345, 4035. There are 8 integers that are factors of 4035. The greatest factor of 4035 is 4035.
4. How to Find the LCM of 4031 and 4035?
Answer:
Least Common Multiple of 4031 and 4035 = 16265085
Step 1: Find the prime factorization of 4031
4031 = 29 x 139
Step 2: Find the prime factorization of 4035
4035 = 3 x 5 x 269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16265085 = 3 x 5 x 29 x 139 x 269
Step 4: Therefore, the least common multiple of 4031 and 4035 is 16265085.