Least Common Multiple of 4063 and 4071
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4063 and 4071 the smallest integer that is 16540473 that is divisible by both numbers.
Least Common Multiple (LCM) of 4063 and 4071 is 16540473.
LCM(4063,4071) = 16540473
LCM of 4063 and 4071
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4063 and 4071 by Prime method
- Least Common Multiple of 4063 and 4071 with GCF Formula
LCM of 4063 and 4071 is 16540473
Least common multiple can be found by multiplying the highest exponent prime factors of 4063 and 4071. First we will calculate the prime factors of 4063 and 4071.
Prime Factorization of 4063
| 17 | 4063 |
| 239 | 239 |
| 1 |
Prime factors of 4063 are 17,239. Prime factorization of 4063 in exponential form is:
4063 = 171×2391
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4063 and 4071.
LCM(4063,4071) = 31×171×231×591×2391
LCM(4063,4071) = 16540473
Factors of 4063
List of positive integer factors of 4063 that divides 4063 without a remainder.
1, 17, 239, 4063
Factors of 4071
List of positive integer factors of 4071 that divides 4071 without a remainder.
1, 3, 23, 59, 69, 177, 1357, 4071
Least Common Multiple of 4063 and 4071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4063 and 4071, than apply into the LCM equation.
GCF(4063,4071) = 1
LCM(4063,4071) = ( 4063 × 4071) / 1
LCM(4063,4071) = 16540473 / 1
LCM(4063,4071) = 16540473
Properties of LCM 4063 and 4071
(i) The LCM of 4071 and 4063 is associative
LCM of 4063 and 4071 = LCM of 4071 and 4063
Related Least Common Multiples of 4063
Related Least Common Multiples of 4071
Frequently Asked Questions on LCM of 4063 and 4071
1. What is the LCM of 4063 and 4071?
Answer: LCM of 4063 and 4071 is 16540473.
2. What are the Factors of 4063?
Answer: Factors of 4063 are 1, 17, 239, 4063. There are 4 integers that are factors of 4063. The greatest factor of 4063 is 4063.
3. 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.
4. How to Find the LCM of 4063 and 4071?
Answer:
Least Common Multiple of 4063 and 4071 = 16540473
Step 1: Find the prime factorization of 4063
4063 = 17 x 239
Step 2: Find the prime factorization of 4071
4071 = 3 x 23 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16540473 = 3 x 17 x 23 x 59 x 239
Step 4: Therefore, the least common multiple of 4063 and 4071 is 16540473.