Least Common Multiple of 8034 and 8039
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 8039 the smallest integer that is 64585326 that is divisible by both numbers.
Least Common Multiple (LCM) of 8034 and 8039 is 64585326.
LCM(8034,8039) = 64585326
LCM of 8034 and 8039
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8034 and 8039 by Prime method
- Least Common Multiple of 8034 and 8039 with GCF Formula
LCM of 8034 and 8039 is 64585326
Least common multiple can be found by multiplying the highest exponent prime factors of 8034 and 8039. First we will calculate the prime factors of 8034 and 8039.
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 8039
| 8039 | 8039 |
| 1 |
Prime factors of 8039 are 8039. Prime factorization of 8039 in exponential form is:
8039 = 80391
Now multiplying the highest exponent prime factors to calculate the LCM of 8034 and 8039.
LCM(8034,8039) = 21×31×131×1031×80391
LCM(8034,8039) = 64585326
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 8039
List of positive integer factors of 8039 that divides 8039 without a remainder.
1, 8039
Least Common Multiple of 8034 and 8039 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 8039, than apply into the LCM equation.
GCF(8034,8039) = 1
LCM(8034,8039) = ( 8034 × 8039) / 1
LCM(8034,8039) = 64585326 / 1
LCM(8034,8039) = 64585326
Properties of LCM 8034 and 8039
(i) The LCM of 8039 and 8034 is associative
LCM of 8034 and 8039 = LCM of 8039 and 8034
Related Least Common Multiples of 8034
Related Least Common Multiples of 8039
Frequently Asked Questions on LCM of 8034 and 8039
1. What is the LCM of 8034 and 8039?
Answer: LCM of 8034 and 8039 is 64585326.
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 8039?
Answer: Factors of 8039 are 1, 8039. There are 2 integers that are factors of 8039. The greatest factor of 8039 is 8039.
4. How to Find the LCM of 8034 and 8039?
Answer:
Least Common Multiple of 8034 and 8039 = 64585326
Step 1: Find the prime factorization of 8034
8034 = 2 x 3 x 13 x 103
Step 2: Find the prime factorization of 8039
8039 = 8039
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 64585326 = 2 x 3 x 13 x 103 x 8039
Step 4: Therefore, the least common multiple of 8034 and 8039 is 64585326.