Least Common Multiple of 6065 and 6069
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6065 and 6069 the smallest integer that is 36808485 that is divisible by both numbers.
Least Common Multiple (LCM) of 6065 and 6069 is 36808485.
LCM(6065,6069) = 36808485
LCM of 6065 and 6069
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6065 and 6069 by Prime method
- Least Common Multiple of 6065 and 6069 with GCF Formula
LCM of 6065 and 6069 is 36808485
Least common multiple can be found by multiplying the highest exponent prime factors of 6065 and 6069. First we will calculate the prime factors of 6065 and 6069.
Prime Factorization of 6065
| 5 | 6065 |
| 1213 | 1213 |
| 1 |
Prime factors of 6065 are 5,1213. Prime factorization of 6065 in exponential form is:
6065 = 51×12131
Prime Factorization of 6069
| 3 | 6069 |
| 7 | 2023 |
| 17 | 289 |
| 17 | 17 |
| 1 |
Prime factors of 6069 are 3, 7,17. Prime factorization of 6069 in exponential form is:
6069 = 31×71×172
Now multiplying the highest exponent prime factors to calculate the LCM of 6065 and 6069.
LCM(6065,6069) = 31×51×71×172×12131
LCM(6065,6069) = 36808485
Factors of 6065
List of positive integer factors of 6065 that divides 6065 without a remainder.
1, 5, 1213, 6065
Factors of 6069
List of positive integer factors of 6069 that divides 6069 without a remainder.
1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069
Least Common Multiple of 6065 and 6069 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6065 and 6069, than apply into the LCM equation.
GCF(6065,6069) = 1
LCM(6065,6069) = ( 6065 × 6069) / 1
LCM(6065,6069) = 36808485 / 1
LCM(6065,6069) = 36808485
Properties of LCM 6065 and 6069
(i) The LCM of 6069 and 6065 is associative
LCM of 6065 and 6069 = LCM of 6069 and 6065
Related Least Common Multiples of 6065
Related Least Common Multiples of 6069
Frequently Asked Questions on LCM of 6065 and 6069
1. What is the LCM of 6065 and 6069?
Answer: LCM of 6065 and 6069 is 36808485.
2. What are the Factors of 6065?
Answer: Factors of 6065 are 1, 5, 1213, 6065. There are 4 integers that are factors of 6065. The greatest factor of 6065 is 6065.
3. What are the Factors of 6069?
Answer: Factors of 6069 are 1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069. There are 12 integers that are factors of 6069. The greatest factor of 6069 is 6069.
4. How to Find the LCM of 6065 and 6069?
Answer:
Least Common Multiple of 6065 and 6069 = 36808485
Step 1: Find the prime factorization of 6065
6065 = 5 x 1213
Step 2: Find the prime factorization of 6069
6069 = 3 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 = 36808485 = 3 x 5 x 7 x 17 x 17 x 1213
Step 4: Therefore, the least common multiple of 6065 and 6069 is 36808485.