Least Common Multiple of 4041 and 4046
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4041 and 4046 the smallest integer that is 16349886 that is divisible by both numbers.
Least Common Multiple (LCM) of 4041 and 4046 is 16349886.
LCM(4041,4046) = 16349886
LCM of 4041 and 4046
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4041 and 4046 by Prime method
- Least Common Multiple of 4041 and 4046 with GCF Formula
LCM of 4041 and 4046 is 16349886
Least common multiple can be found by multiplying the highest exponent prime factors of 4041 and 4046. First we will calculate the prime factors of 4041 and 4046.
Prime Factorization of 4041
| 3 | 4041 |
| 3 | 1347 |
| 449 | 449 |
| 1 |
Prime factors of 4041 are 3,449. Prime factorization of 4041 in exponential form is:
4041 = 32×4491
Prime Factorization of 4046
| 2 | 4046 |
| 7 | 2023 |
| 17 | 289 |
| 17 | 17 |
| 1 |
Prime factors of 4046 are 2, 7,17. Prime factorization of 4046 in exponential form is:
4046 = 21×71×172
Now multiplying the highest exponent prime factors to calculate the LCM of 4041 and 4046.
LCM(4041,4046) = 21×32×71×172×4491
LCM(4041,4046) = 16349886
Factors of 4041
List of positive integer factors of 4041 that divides 4041 without a remainder.
1, 3, 9, 449, 1347, 4041
Factors of 4046
List of positive integer factors of 4046 that divides 4046 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046
Least Common Multiple of 4041 and 4046 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4041 and 4046, than apply into the LCM equation.
GCF(4041,4046) = 1
LCM(4041,4046) = ( 4041 × 4046) / 1
LCM(4041,4046) = 16349886 / 1
LCM(4041,4046) = 16349886
Properties of LCM 4041 and 4046
(i) The LCM of 4046 and 4041 is associative
LCM of 4041 and 4046 = LCM of 4046 and 4041
Related Least Common Multiples of 4041
Related Least Common Multiples of 4046
Frequently Asked Questions on LCM of 4041 and 4046
1. What is the LCM of 4041 and 4046?
Answer: LCM of 4041 and 4046 is 16349886.
2. What are the Factors of 4041?
Answer: Factors of 4041 are 1, 3, 9, 449, 1347, 4041. There are 6 integers that are factors of 4041. The greatest factor of 4041 is 4041.
3. What are the Factors of 4046?
Answer: Factors of 4046 are 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046. There are 12 integers that are factors of 4046. The greatest factor of 4046 is 4046.
4. How to Find the LCM of 4041 and 4046?
Answer:
Least Common Multiple of 4041 and 4046 = 16349886
Step 1: Find the prime factorization of 4041
4041 = 3 x 3 x 449
Step 2: Find the prime factorization of 4046
4046 = 2 x 7 x 17 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16349886 = 2 x 3 x 3 x 7 x 17 x 17 x 449
Step 4: Therefore, the least common multiple of 4041 and 4046 is 16349886.