Least Common Multiple of 4071 and 4075
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4071 and 4075 the smallest integer that is 16589325 that is divisible by both numbers.
Least Common Multiple (LCM) of 4071 and 4075 is 16589325.
LCM(4071,4075) = 16589325
LCM of 4071 and 4075
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4071 and 4075 by Prime method
- Least Common Multiple of 4071 and 4075 with GCF Formula
LCM of 4071 and 4075 is 16589325
Least common multiple can be found by multiplying the highest exponent prime factors of 4071 and 4075. First we will calculate the prime factors of 4071 and 4075.
Prime Factorization of 4071
| 3 | 4071 |
| 23 | 1357 |
| 59 | 59 |
| 1 |
Prime factors of 4071 are 3, 23,59. Prime factorization of 4071 in exponential form is:
4071 = 31×231×591
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4071 and 4075.
LCM(4071,4075) = 31×52×231×591×1631
LCM(4071,4075) = 16589325
Factors of 4071
List of positive integer factors of 4071 that divides 4071 without a remainder.
1, 3, 23, 59, 69, 177, 1357, 4071
Factors of 4075
List of positive integer factors of 4075 that divides 4075 without a remainder.
1, 5, 25, 163, 815, 4075
Least Common Multiple of 4071 and 4075 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4071 and 4075, than apply into the LCM equation.
GCF(4071,4075) = 1
LCM(4071,4075) = ( 4071 × 4075) / 1
LCM(4071,4075) = 16589325 / 1
LCM(4071,4075) = 16589325
Properties of LCM 4071 and 4075
(i) The LCM of 4075 and 4071 is associative
LCM of 4071 and 4075 = LCM of 4075 and 4071
Related Least Common Multiples of 4071
Related Least Common Multiples of 4075
Frequently Asked Questions on LCM of 4071 and 4075
1. What is the LCM of 4071 and 4075?
Answer: LCM of 4071 and 4075 is 16589325.
2. What are the Factors of 4071?
Answer: Factors of 4071 are 1, 3, 23, 59, 69, 177, 1357, 4071. There are 8 integers that are factors of 4071. The greatest factor of 4071 is 4071.
3. 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.
4. How to Find the LCM of 4071 and 4075?
Answer:
Least Common Multiple of 4071 and 4075 = 16589325
Step 1: Find the prime factorization of 4071
4071 = 3 x 23 x 59
Step 2: Find the prime factorization of 4075
4075 = 5 x 5 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16589325 = 3 x 5 x 5 x 23 x 59 x 163
Step 4: Therefore, the least common multiple of 4071 and 4075 is 16589325.