Least Common Multiple of 6061 and 6066
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 6066 the smallest integer that is 36766026 that is divisible by both numbers.
Least Common Multiple (LCM) of 6061 and 6066 is 36766026.
LCM(6061,6066) = 36766026
LCM of 6061 and 6066
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6061 and 6066 by Prime method
- Least Common Multiple of 6061 and 6066 with GCF Formula
LCM of 6061 and 6066 is 36766026
Least common multiple can be found by multiplying the highest exponent prime factors of 6061 and 6066. First we will calculate the prime factors of 6061 and 6066.
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 6066
| 2 | 6066 |
| 3 | 3033 |
| 3 | 1011 |
| 337 | 337 |
| 1 |
Prime factors of 6066 are 2, 3,337. Prime factorization of 6066 in exponential form is:
6066 = 21×32×3371
Now multiplying the highest exponent prime factors to calculate the LCM of 6061 and 6066.
LCM(6061,6066) = 21×32×111×191×291×3371
LCM(6061,6066) = 36766026
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 6066
List of positive integer factors of 6066 that divides 6066 without a remainder.
1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033, 6066
Least Common Multiple of 6061 and 6066 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 6066, than apply into the LCM equation.
GCF(6061,6066) = 1
LCM(6061,6066) = ( 6061 × 6066) / 1
LCM(6061,6066) = 36766026 / 1
LCM(6061,6066) = 36766026
Properties of LCM 6061 and 6066
(i) The LCM of 6066 and 6061 is associative
LCM of 6061 and 6066 = LCM of 6066 and 6061
Related Least Common Multiples of 6061
Related Least Common Multiples of 6066
Frequently Asked Questions on LCM of 6061 and 6066
1. What is the LCM of 6061 and 6066?
Answer: LCM of 6061 and 6066 is 36766026.
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 6066?
Answer: Factors of 6066 are 1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033, 6066. There are 12 integers that are factors of 6066. The greatest factor of 6066 is 6066.
4. How to Find the LCM of 6061 and 6066?
Answer:
Least Common Multiple of 6061 and 6066 = 36766026
Step 1: Find the prime factorization of 6061
6061 = 11 x 19 x 29
Step 2: Find the prime factorization of 6066
6066 = 2 x 3 x 3 x 337
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36766026 = 2 x 3 x 3 x 11 x 19 x 29 x 337
Step 4: Therefore, the least common multiple of 6061 and 6066 is 36766026.