Least Common Multiple of 4063 and 4067
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 4067 the smallest integer that is 16524221 that is divisible by both numbers.
Least Common Multiple (LCM) of 4063 and 4067 is 16524221.
LCM(4063,4067) = 16524221
LCM of 4063 and 4067
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4063 and 4067 by Prime method
- Least Common Multiple of 4063 and 4067 with GCF Formula
LCM of 4063 and 4067 is 16524221
Least common multiple can be found by multiplying the highest exponent prime factors of 4063 and 4067. First we will calculate the prime factors of 4063 and 4067.
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 4067
| 7 | 4067 |
| 7 | 581 |
| 83 | 83 |
| 1 |
Prime factors of 4067 are 7,83. Prime factorization of 4067 in exponential form is:
4067 = 72×831
Now multiplying the highest exponent prime factors to calculate the LCM of 4063 and 4067.
LCM(4063,4067) = 72×171×831×2391
LCM(4063,4067) = 16524221
Factors of 4063
List of positive integer factors of 4063 that divides 4063 without a remainder.
1, 17, 239, 4063
Factors of 4067
List of positive integer factors of 4067 that divides 4067 without a remainder.
1, 7, 49, 83, 581, 4067
Least Common Multiple of 4063 and 4067 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 4067, than apply into the LCM equation.
GCF(4063,4067) = 1
LCM(4063,4067) = ( 4063 × 4067) / 1
LCM(4063,4067) = 16524221 / 1
LCM(4063,4067) = 16524221
Properties of LCM 4063 and 4067
(i) The LCM of 4067 and 4063 is associative
LCM of 4063 and 4067 = LCM of 4067 and 4063
Related Least Common Multiples of 4063
Related Least Common Multiples of 4067
Frequently Asked Questions on LCM of 4063 and 4067
1. What is the LCM of 4063 and 4067?
Answer: LCM of 4063 and 4067 is 16524221.
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 4067?
Answer: Factors of 4067 are 1, 7, 49, 83, 581, 4067. There are 6 integers that are factors of 4067. The greatest factor of 4067 is 4067.
4. How to Find the LCM of 4063 and 4067?
Answer:
Least Common Multiple of 4063 and 4067 = 16524221
Step 1: Find the prime factorization of 4063
4063 = 17 x 239
Step 2: Find the prime factorization of 4067
4067 = 7 x 7 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16524221 = 7 x 7 x 17 x 83 x 239
Step 4: Therefore, the least common multiple of 4063 and 4067 is 16524221.