Least Common Multiple of 9055 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 9055 and 9061 the smallest integer that is 82047355 that is divisible by both numbers.
Least Common Multiple (LCM) of 9055 and 9061 is 82047355.
LCM(9055,9061) = 82047355
LCM of 9055 and 9061
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9055 and 9061 by Prime method
- Least Common Multiple of 9055 and 9061 with GCF Formula
LCM of 9055 and 9061 is 82047355
Least common multiple can be found by multiplying the highest exponent prime factors of 9055 and 9061. First we will calculate the prime factors of 9055 and 9061.
Prime Factorization of 9055
| 5 | 9055 |
| 1811 | 1811 |
| 1 |
Prime factors of 9055 are 5,1811. Prime factorization of 9055 in exponential form is:
9055 = 51×18111
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 9055 and 9061.
LCM(9055,9061) = 51×131×171×411×18111
LCM(9055,9061) = 82047355
Factors of 9055
List of positive integer factors of 9055 that divides 9055 without a remainder.
1, 5, 1811, 9055
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 9055 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 9055 and 9061, than apply into the LCM equation.
GCF(9055,9061) = 1
LCM(9055,9061) = ( 9055 × 9061) / 1
LCM(9055,9061) = 82047355 / 1
LCM(9055,9061) = 82047355
Properties of LCM 9055 and 9061
(i) The LCM of 9061 and 9055 is associative
LCM of 9055 and 9061 = LCM of 9061 and 9055
Related Least Common Multiples of 9055
Related Least Common Multiples of 9061
Frequently Asked Questions on LCM of 9055 and 9061
1. What is the LCM of 9055 and 9061?
Answer: LCM of 9055 and 9061 is 82047355.
2. What are the Factors of 9055?
Answer: Factors of 9055 are 1, 5, 1811, 9055. There are 4 integers that are factors of 9055. The greatest factor of 9055 is 9055.
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 9055 and 9061?
Answer:
Least Common Multiple of 9055 and 9061 = 82047355
Step 1: Find the prime factorization of 9055
9055 = 5 x 1811
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 = 82047355 = 5 x 13 x 17 x 41 x 1811
Step 4: Therefore, the least common multiple of 9055 and 9061 is 82047355.