Least Common Multiple of 9057 and 9061
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9057 and 9061 the smallest integer that is 82065477 that is divisible by both numbers.
Least Common Multiple (LCM) of 9057 and 9061 is 82065477.
LCM(9057,9061) = 82065477
LCM of 9057 and 9061
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9057 and 9061 by Prime method
- Least Common Multiple of 9057 and 9061 with GCF Formula
LCM of 9057 and 9061 is 82065477
Least common multiple can be found by multiplying the highest exponent prime factors of 9057 and 9061. First we will calculate the prime factors of 9057 and 9061.
Prime Factorization of 9057
| 3 | 9057 |
| 3019 | 3019 |
| 1 |
Prime factors of 9057 are 3,3019. Prime factorization of 9057 in exponential form is:
9057 = 31×30191
Prime Factorization of 9061
| 13 | 9061 |
| 17 | 697 |
| 41 | 41 |
| 1 |
Prime factors of 9061 are 13, 17,41. Prime factorization of 9061 in exponential form is:
9061 = 131×171×411
Now multiplying the highest exponent prime factors to calculate the LCM of 9057 and 9061.
LCM(9057,9061) = 31×131×171×411×30191
LCM(9057,9061) = 82065477
Factors of 9057
List of positive integer factors of 9057 that divides 9057 without a remainder.
1, 3, 3019, 9057
Factors of 9061
List of positive integer factors of 9061 that divides 9061 without a remainder.
1, 13, 17, 41, 221, 533, 697, 9061
Least Common Multiple of 9057 and 9061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9057 and 9061, than apply into the LCM equation.
GCF(9057,9061) = 1
LCM(9057,9061) = ( 9057 × 9061) / 1
LCM(9057,9061) = 82065477 / 1
LCM(9057,9061) = 82065477
Properties of LCM 9057 and 9061
(i) The LCM of 9061 and 9057 is associative
LCM of 9057 and 9061 = LCM of 9061 and 9057
Related Least Common Multiples of 9057
Related Least Common Multiples of 9061
Frequently Asked Questions on LCM of 9057 and 9061
1. What is the LCM of 9057 and 9061?
Answer: LCM of 9057 and 9061 is 82065477.
2. What are the Factors of 9057?
Answer: Factors of 9057 are 1, 3, 3019, 9057. There are 4 integers that are factors of 9057. The greatest factor of 9057 is 9057.
3. What are the Factors of 9061?
Answer: Factors of 9061 are 1, 13, 17, 41, 221, 533, 697, 9061. There are 8 integers that are factors of 9061. The greatest factor of 9061 is 9061.
4. How to Find the LCM of 9057 and 9061?
Answer:
Least Common Multiple of 9057 and 9061 = 82065477
Step 1: Find the prime factorization of 9057
9057 = 3 x 3019
Step 2: Find the prime factorization of 9061
9061 = 13 x 17 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 82065477 = 3 x 13 x 17 x 41 x 3019
Step 4: Therefore, the least common multiple of 9057 and 9061 is 82065477.