Least Common Multiple of 6035 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 6035 and 6039 the smallest integer that is 36445365 that is divisible by both numbers.
Least Common Multiple (LCM) of 6035 and 6039 is 36445365.
LCM(6035,6039) = 36445365
LCM of 6035 and 6039
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6035 and 6039 by Prime method
- Least Common Multiple of 6035 and 6039 with GCF Formula
LCM of 6035 and 6039 is 36445365
Least common multiple can be found by multiplying the highest exponent prime factors of 6035 and 6039. First we will calculate the prime factors of 6035 and 6039.
Prime Factorization of 6035
| 5 | 6035 |
| 17 | 1207 |
| 71 | 71 |
| 1 |
Prime factors of 6035 are 5, 17,71. Prime factorization of 6035 in exponential form is:
6035 = 51×171×711
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 6035 and 6039.
LCM(6035,6039) = 32×51×111×171×611×711
LCM(6035,6039) = 36445365
Factors of 6035
List of positive integer factors of 6035 that divides 6035 without a remainder.
1, 5, 17, 71, 85, 355, 1207, 6035
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 6035 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 6035 and 6039, than apply into the LCM equation.
GCF(6035,6039) = 1
LCM(6035,6039) = ( 6035 × 6039) / 1
LCM(6035,6039) = 36445365 / 1
LCM(6035,6039) = 36445365
Properties of LCM 6035 and 6039
(i) The LCM of 6039 and 6035 is associative
LCM of 6035 and 6039 = LCM of 6039 and 6035
Related Least Common Multiples of 6035
Related Least Common Multiples of 6039
Frequently Asked Questions on LCM of 6035 and 6039
1. What is the LCM of 6035 and 6039?
Answer: LCM of 6035 and 6039 is 36445365.
2. What are the Factors of 6035?
Answer: Factors of 6035 are 1, 5, 17, 71, 85, 355, 1207, 6035. There are 8 integers that are factors of 6035. The greatest factor of 6035 is 6035.
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 6035 and 6039?
Answer:
Least Common Multiple of 6035 and 6039 = 36445365
Step 1: Find the prime factorization of 6035
6035 = 5 x 17 x 71
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 = 36445365 = 3 x 3 x 5 x 11 x 17 x 61 x 71
Step 4: Therefore, the least common multiple of 6035 and 6039 is 36445365.