Least Common Multiple of 6061 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 6061 and 6069 the smallest integer that is 36784209 that is divisible by both numbers.
Least Common Multiple (LCM) of 6061 and 6069 is 36784209.
LCM(6061,6069) = 36784209
LCM of 6061 and 6069
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6061 and 6069 by Prime method
- Least Common Multiple of 6061 and 6069 with GCF Formula
LCM of 6061 and 6069 is 36784209
Least common multiple can be found by multiplying the highest exponent prime factors of 6061 and 6069. First we will calculate the prime factors of 6061 and 6069.
Prime Factorization of 6061
| 11 | 6061 |
| 19 | 551 |
| 29 | 29 |
| 1 |
Prime factors of 6061 are 11, 19,29. Prime factorization of 6061 in exponential form is:
6061 = 111×191×291
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 6061 and 6069.
LCM(6061,6069) = 31×71×111×172×191×291
LCM(6061,6069) = 36784209
Factors of 6061
List of positive integer factors of 6061 that divides 6061 without a remainder.
1, 11, 19, 29, 209, 319, 551, 6061
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 6061 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 6061 and 6069, than apply into the LCM equation.
GCF(6061,6069) = 1
LCM(6061,6069) = ( 6061 × 6069) / 1
LCM(6061,6069) = 36784209 / 1
LCM(6061,6069) = 36784209
Properties of LCM 6061 and 6069
(i) The LCM of 6069 and 6061 is associative
LCM of 6061 and 6069 = LCM of 6069 and 6061
Related Least Common Multiples of 6061
Related Least Common Multiples of 6069
Frequently Asked Questions on LCM of 6061 and 6069
1. What is the LCM of 6061 and 6069?
Answer: LCM of 6061 and 6069 is 36784209.
2. What are the Factors of 6061?
Answer: Factors of 6061 are 1, 11, 19, 29, 209, 319, 551, 6061. There are 8 integers that are factors of 6061. The greatest factor of 6061 is 6061.
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 6061 and 6069?
Answer:
Least Common Multiple of 6061 and 6069 = 36784209
Step 1: Find the prime factorization of 6061
6061 = 11 x 19 x 29
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 = 36784209 = 3 x 7 x 11 x 17 x 17 x 19 x 29
Step 4: Therefore, the least common multiple of 6061 and 6069 is 36784209.