Least Common Multiple of 6034 and 6039
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6034 and 6039 the smallest integer that is 36439326 that is divisible by both numbers.
Least Common Multiple (LCM) of 6034 and 6039 is 36439326.
LCM(6034,6039) = 36439326
LCM of 6034 and 6039
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6034 and 6039 by Prime method
- Least Common Multiple of 6034 and 6039 with GCF Formula
LCM of 6034 and 6039 is 36439326
Least common multiple can be found by multiplying the highest exponent prime factors of 6034 and 6039. First we will calculate the prime factors of 6034 and 6039.
Prime Factorization of 6034
| 2 | 6034 |
| 7 | 3017 |
| 431 | 431 |
| 1 |
Prime factors of 6034 are 2, 7,431. Prime factorization of 6034 in exponential form is:
6034 = 21×71×4311
Prime Factorization of 6039
| 3 | 6039 |
| 3 | 2013 |
| 11 | 671 |
| 61 | 61 |
| 1 |
Prime factors of 6039 are 3, 11,61. Prime factorization of 6039 in exponential form is:
6039 = 32×111×611
Now multiplying the highest exponent prime factors to calculate the LCM of 6034 and 6039.
LCM(6034,6039) = 21×32×71×111×611×4311
LCM(6034,6039) = 36439326
Factors of 6034
List of positive integer factors of 6034 that divides 6034 without a remainder.
1, 2, 7, 14, 431, 862, 3017, 6034
Factors of 6039
List of positive integer factors of 6039 that divides 6039 without a remainder.
1, 3, 9, 11, 33, 61, 99, 183, 549, 671, 2013, 6039
Least Common Multiple of 6034 and 6039 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6034 and 6039, than apply into the LCM equation.
GCF(6034,6039) = 1
LCM(6034,6039) = ( 6034 × 6039) / 1
LCM(6034,6039) = 36439326 / 1
LCM(6034,6039) = 36439326
Properties of LCM 6034 and 6039
(i) The LCM of 6039 and 6034 is associative
LCM of 6034 and 6039 = LCM of 6039 and 6034
Related Least Common Multiples of 6034
Related Least Common Multiples of 6039
Frequently Asked Questions on LCM of 6034 and 6039
1. What is the LCM of 6034 and 6039?
Answer: LCM of 6034 and 6039 is 36439326.
2. What are the Factors of 6034?
Answer: Factors of 6034 are 1, 2, 7, 14, 431, 862, 3017, 6034. There are 8 integers that are factors of 6034. The greatest factor of 6034 is 6034.
3. What are the Factors of 6039?
Answer: Factors of 6039 are 1, 3, 9, 11, 33, 61, 99, 183, 549, 671, 2013, 6039. There are 12 integers that are factors of 6039. The greatest factor of 6039 is 6039.
4. How to Find the LCM of 6034 and 6039?
Answer:
Least Common Multiple of 6034 and 6039 = 36439326
Step 1: Find the prime factorization of 6034
6034 = 2 x 7 x 431
Step 2: Find the prime factorization of 6039
6039 = 3 x 3 x 11 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36439326 = 2 x 3 x 3 x 7 x 11 x 61 x 431
Step 4: Therefore, the least common multiple of 6034 and 6039 is 36439326.