Least Common Multiple of 4063 and 4069
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 4069 the smallest integer that is 16532347 that is divisible by both numbers.
Least Common Multiple (LCM) of 4063 and 4069 is 16532347.
LCM(4063,4069) = 16532347
LCM of 4063 and 4069
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4063 and 4069 by Prime method
- Least Common Multiple of 4063 and 4069 with GCF Formula
LCM of 4063 and 4069 is 16532347
Least common multiple can be found by multiplying the highest exponent prime factors of 4063 and 4069. First we will calculate the prime factors of 4063 and 4069.
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 4069
| 13 | 4069 |
| 313 | 313 |
| 1 |
Prime factors of 4069 are 13,313. Prime factorization of 4069 in exponential form is:
4069 = 131×3131
Now multiplying the highest exponent prime factors to calculate the LCM of 4063 and 4069.
LCM(4063,4069) = 131×171×2391×3131
LCM(4063,4069) = 16532347
Factors of 4063
List of positive integer factors of 4063 that divides 4063 without a remainder.
1, 17, 239, 4063
Factors of 4069
List of positive integer factors of 4069 that divides 4069 without a remainder.
1, 13, 313, 4069
Least Common Multiple of 4063 and 4069 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 4069, than apply into the LCM equation.
GCF(4063,4069) = 1
LCM(4063,4069) = ( 4063 × 4069) / 1
LCM(4063,4069) = 16532347 / 1
LCM(4063,4069) = 16532347
Properties of LCM 4063 and 4069
(i) The LCM of 4069 and 4063 is associative
LCM of 4063 and 4069 = LCM of 4069 and 4063
Related Least Common Multiples of 4063
Related Least Common Multiples of 4069
Frequently Asked Questions on LCM of 4063 and 4069
1. What is the LCM of 4063 and 4069?
Answer: LCM of 4063 and 4069 is 16532347.
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 4069?
Answer: Factors of 4069 are 1, 13, 313, 4069. There are 4 integers that are factors of 4069. The greatest factor of 4069 is 4069.
4. How to Find the LCM of 4063 and 4069?
Answer:
Least Common Multiple of 4063 and 4069 = 16532347
Step 1: Find the prime factorization of 4063
4063 = 17 x 239
Step 2: Find the prime factorization of 4069
4069 = 13 x 313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16532347 = 13 x 17 x 239 x 313
Step 4: Therefore, the least common multiple of 4063 and 4069 is 16532347.