Least Common Multiple of 8034 and 8041
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8034 and 8041 the smallest integer that is 64601394 that is divisible by both numbers.
Least Common Multiple (LCM) of 8034 and 8041 is 64601394.
LCM(8034,8041) = 64601394
LCM of 8034 and 8041
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8034 and 8041 by Prime method
- Least Common Multiple of 8034 and 8041 with GCF Formula
LCM of 8034 and 8041 is 64601394
Least common multiple can be found by multiplying the highest exponent prime factors of 8034 and 8041. First we will calculate the prime factors of 8034 and 8041.
Prime Factorization of 8034
| 2 | 8034 |
| 3 | 4017 |
| 13 | 1339 |
| 103 | 103 |
| 1 |
Prime factors of 8034 are 2, 3, 13,103. Prime factorization of 8034 in exponential form is:
8034 = 21×31×131×1031
Prime Factorization of 8041
| 11 | 8041 |
| 17 | 731 |
| 43 | 43 |
| 1 |
Prime factors of 8041 are 11, 17,43. Prime factorization of 8041 in exponential form is:
8041 = 111×171×431
Now multiplying the highest exponent prime factors to calculate the LCM of 8034 and 8041.
LCM(8034,8041) = 21×31×111×131×171×431×1031
LCM(8034,8041) = 64601394
Factors of 8034
List of positive integer factors of 8034 that divides 8034 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034
Factors of 8041
List of positive integer factors of 8041 that divides 8041 without a remainder.
1, 11, 17, 43, 187, 473, 731, 8041
Least Common Multiple of 8034 and 8041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8034 and 8041, than apply into the LCM equation.
GCF(8034,8041) = 1
LCM(8034,8041) = ( 8034 × 8041) / 1
LCM(8034,8041) = 64601394 / 1
LCM(8034,8041) = 64601394
Properties of LCM 8034 and 8041
(i) The LCM of 8041 and 8034 is associative
LCM of 8034 and 8041 = LCM of 8041 and 8034
Related Least Common Multiples of 8034
Related Least Common Multiples of 8041
Frequently Asked Questions on LCM of 8034 and 8041
1. What is the LCM of 8034 and 8041?
Answer: LCM of 8034 and 8041 is 64601394.
2. What are the Factors of 8034?
Answer: Factors of 8034 are 1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034. There are 16 integers that are factors of 8034. The greatest factor of 8034 is 8034.
3. What are the Factors of 8041?
Answer: Factors of 8041 are 1, 11, 17, 43, 187, 473, 731, 8041. There are 8 integers that are factors of 8041. The greatest factor of 8041 is 8041.
4. How to Find the LCM of 8034 and 8041?
Answer:
Least Common Multiple of 8034 and 8041 = 64601394
Step 1: Find the prime factorization of 8034
8034 = 2 x 3 x 13 x 103
Step 2: Find the prime factorization of 8041
8041 = 11 x 17 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 64601394 = 2 x 3 x 11 x 13 x 17 x 43 x 103
Step 4: Therefore, the least common multiple of 8034 and 8041 is 64601394.