Least Common Multiple of 4059 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 4059 and 4067 the smallest integer that is 16507953 that is divisible by both numbers.
Least Common Multiple (LCM) of 4059 and 4067 is 16507953.
LCM(4059,4067) = 16507953
LCM of 4059 and 4067
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4059 and 4067 by Prime method
- Least Common Multiple of 4059 and 4067 with GCF Formula
LCM of 4059 and 4067 is 16507953
Least common multiple can be found by multiplying the highest exponent prime factors of 4059 and 4067. First we will calculate the prime factors of 4059 and 4067.
Prime Factorization of 4059
| 3 | 4059 |
| 3 | 1353 |
| 11 | 451 |
| 41 | 41 |
| 1 |
Prime factors of 4059 are 3, 11,41. Prime factorization of 4059 in exponential form is:
4059 = 32×111×411
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 4059 and 4067.
LCM(4059,4067) = 32×72×111×411×831
LCM(4059,4067) = 16507953
Factors of 4059
List of positive integer factors of 4059 that divides 4059 without a remainder.
1, 3, 9, 11, 33, 41, 99, 123, 369, 451, 1353, 4059
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 4059 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 4059 and 4067, than apply into the LCM equation.
GCF(4059,4067) = 1
LCM(4059,4067) = ( 4059 × 4067) / 1
LCM(4059,4067) = 16507953 / 1
LCM(4059,4067) = 16507953
Properties of LCM 4059 and 4067
(i) The LCM of 4067 and 4059 is associative
LCM of 4059 and 4067 = LCM of 4067 and 4059
Related Least Common Multiples of 4059
Related Least Common Multiples of 4067
Frequently Asked Questions on LCM of 4059 and 4067
1. What is the LCM of 4059 and 4067?
Answer: LCM of 4059 and 4067 is 16507953.
2. What are the Factors of 4059?
Answer: Factors of 4059 are 1, 3, 9, 11, 33, 41, 99, 123, 369, 451, 1353, 4059. There are 12 integers that are factors of 4059. The greatest factor of 4059 is 4059.
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 4059 and 4067?
Answer:
Least Common Multiple of 4059 and 4067 = 16507953
Step 1: Find the prime factorization of 4059
4059 = 3 x 3 x 11 x 41
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 = 16507953 = 3 x 3 x 7 x 7 x 11 x 41 x 83
Step 4: Therefore, the least common multiple of 4059 and 4067 is 16507953.