Least Common Multiple of 4025 and 4031
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4025 and 4031 the smallest integer that is 16224775 that is divisible by both numbers.
Least Common Multiple (LCM) of 4025 and 4031 is 16224775.
LCM(4025,4031) = 16224775
LCM of 4025 and 4031
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4025 and 4031 by Prime method
- Least Common Multiple of 4025 and 4031 with GCF Formula
LCM of 4025 and 4031 is 16224775
Least common multiple can be found by multiplying the highest exponent prime factors of 4025 and 4031. First we will calculate the prime factors of 4025 and 4031.
Prime Factorization of 4025
| 5 | 4025 |
| 5 | 805 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 4025 are 5, 7,23. Prime factorization of 4025 in exponential form is:
4025 = 52×71×231
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4025 and 4031.
LCM(4025,4031) = 52×71×231×291×1391
LCM(4025,4031) = 16224775
Factors of 4025
List of positive integer factors of 4025 that divides 4025 without a remainder.
1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025
Factors of 4031
List of positive integer factors of 4031 that divides 4031 without a remainder.
1, 29, 139, 4031
Least Common Multiple of 4025 and 4031 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4025 and 4031, than apply into the LCM equation.
GCF(4025,4031) = 1
LCM(4025,4031) = ( 4025 × 4031) / 1
LCM(4025,4031) = 16224775 / 1
LCM(4025,4031) = 16224775
Properties of LCM 4025 and 4031
(i) The LCM of 4031 and 4025 is associative
LCM of 4025 and 4031 = LCM of 4031 and 4025
Related Least Common Multiples of 4025
Related Least Common Multiples of 4031
Frequently Asked Questions on LCM of 4025 and 4031
1. What is the LCM of 4025 and 4031?
Answer: LCM of 4025 and 4031 is 16224775.
2. What are the Factors of 4025?
Answer: Factors of 4025 are 1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025. There are 12 integers that are factors of 4025. The greatest factor of 4025 is 4025.
3. 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.
4. How to Find the LCM of 4025 and 4031?
Answer:
Least Common Multiple of 4025 and 4031 = 16224775
Step 1: Find the prime factorization of 4025
4025 = 5 x 5 x 7 x 23
Step 2: Find the prime factorization of 4031
4031 = 29 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16224775 = 5 x 5 x 7 x 23 x 29 x 139
Step 4: Therefore, the least common multiple of 4025 and 4031 is 16224775.