Least Common Multiple of 4075 and 4081
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4075 and 4081 the smallest integer that is 16630075 that is divisible by both numbers.
Least Common Multiple (LCM) of 4075 and 4081 is 16630075.
LCM(4075,4081) = 16630075
LCM of 4075 and 4081
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4075 and 4081 by Prime method
- Least Common Multiple of 4075 and 4081 with GCF Formula
LCM of 4075 and 4081 is 16630075
Least common multiple can be found by multiplying the highest exponent prime factors of 4075 and 4081. First we will calculate the prime factors of 4075 and 4081.
Prime Factorization of 4075
| 5 | 4075 |
| 5 | 815 |
| 163 | 163 |
| 1 |
Prime factors of 4075 are 5,163. Prime factorization of 4075 in exponential form is:
4075 = 52×1631
Prime Factorization of 4081
| 7 | 4081 |
| 11 | 583 |
| 53 | 53 |
| 1 |
Prime factors of 4081 are 7, 11,53. Prime factorization of 4081 in exponential form is:
4081 = 71×111×531
Now multiplying the highest exponent prime factors to calculate the LCM of 4075 and 4081.
LCM(4075,4081) = 52×71×111×531×1631
LCM(4075,4081) = 16630075
Factors of 4075
List of positive integer factors of 4075 that divides 4075 without a remainder.
1, 5, 25, 163, 815, 4075
Factors of 4081
List of positive integer factors of 4081 that divides 4081 without a remainder.
1, 7, 11, 53, 77, 371, 583, 4081
Least Common Multiple of 4075 and 4081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4075 and 4081, than apply into the LCM equation.
GCF(4075,4081) = 1
LCM(4075,4081) = ( 4075 × 4081) / 1
LCM(4075,4081) = 16630075 / 1
LCM(4075,4081) = 16630075
Properties of LCM 4075 and 4081
(i) The LCM of 4081 and 4075 is associative
LCM of 4075 and 4081 = LCM of 4081 and 4075
Related Least Common Multiples of 4075
Related Least Common Multiples of 4081
Frequently Asked Questions on LCM of 4075 and 4081
1. What is the LCM of 4075 and 4081?
Answer: LCM of 4075 and 4081 is 16630075.
2. What are the Factors of 4075?
Answer: Factors of 4075 are 1, 5, 25, 163, 815, 4075. There are 6 integers that are factors of 4075. The greatest factor of 4075 is 4075.
3. What are the Factors of 4081?
Answer: Factors of 4081 are 1, 7, 11, 53, 77, 371, 583, 4081. There are 8 integers that are factors of 4081. The greatest factor of 4081 is 4081.
4. How to Find the LCM of 4075 and 4081?
Answer:
Least Common Multiple of 4075 and 4081 = 16630075
Step 1: Find the prime factorization of 4075
4075 = 5 x 5 x 163
Step 2: Find the prime factorization of 4081
4081 = 7 x 11 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 = 16630075 = 5 x 5 x 7 x 11 x 53 x 163
Step 4: Therefore, the least common multiple of 4075 and 4081 is 16630075.