Least Common Multiple of 4031 and 4037
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 4037 the smallest integer that is 16273147 that is divisible by both numbers.
Least Common Multiple (LCM) of 4031 and 4037 is 16273147.
LCM(4031,4037) = 16273147
LCM of 4031 and 4037
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4031 and 4037 by Prime method
- Least Common Multiple of 4031 and 4037 with GCF Formula
LCM of 4031 and 4037 is 16273147
Least common multiple can be found by multiplying the highest exponent prime factors of 4031 and 4037. First we will calculate the prime factors of 4031 and 4037.
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 4037
| 11 | 4037 |
| 367 | 367 |
| 1 |
Prime factors of 4037 are 11,367. Prime factorization of 4037 in exponential form is:
4037 = 111×3671
Now multiplying the highest exponent prime factors to calculate the LCM of 4031 and 4037.
LCM(4031,4037) = 111×291×1391×3671
LCM(4031,4037) = 16273147
Factors of 4031
List of positive integer factors of 4031 that divides 4031 without a remainder.
1, 29, 139, 4031
Factors of 4037
List of positive integer factors of 4037 that divides 4037 without a remainder.
1, 11, 367, 4037
Least Common Multiple of 4031 and 4037 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 4037, than apply into the LCM equation.
GCF(4031,4037) = 1
LCM(4031,4037) = ( 4031 × 4037) / 1
LCM(4031,4037) = 16273147 / 1
LCM(4031,4037) = 16273147
Properties of LCM 4031 and 4037
(i) The LCM of 4037 and 4031 is associative
LCM of 4031 and 4037 = LCM of 4037 and 4031
Related Least Common Multiples of 4031
Related Least Common Multiples of 4037
Frequently Asked Questions on LCM of 4031 and 4037
1. What is the LCM of 4031 and 4037?
Answer: LCM of 4031 and 4037 is 16273147.
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 4037?
Answer: Factors of 4037 are 1, 11, 367, 4037. There are 4 integers that are factors of 4037. The greatest factor of 4037 is 4037.
4. How to Find the LCM of 4031 and 4037?
Answer:
Least Common Multiple of 4031 and 4037 = 16273147
Step 1: Find the prime factorization of 4031
4031 = 29 x 139
Step 2: Find the prime factorization of 4037
4037 = 11 x 367
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16273147 = 11 x 29 x 139 x 367
Step 4: Therefore, the least common multiple of 4031 and 4037 is 16273147.