Least Common Multiple of 9075 and 9077
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9075 and 9077 the smallest integer that is 82373775 that is divisible by both numbers.
Least Common Multiple (LCM) of 9075 and 9077 is 82373775.
LCM(9075,9077) = 82373775
LCM of 9075 and 9077
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9075 and 9077 by Prime method
- Least Common Multiple of 9075 and 9077 with GCF Formula
LCM of 9075 and 9077 is 82373775
Least common multiple can be found by multiplying the highest exponent prime factors of 9075 and 9077. First we will calculate the prime factors of 9075 and 9077.
Prime Factorization of 9075
| 3 | 9075 |
| 5 | 3025 |
| 5 | 605 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 9075 are 3, 5,11. Prime factorization of 9075 in exponential form is:
9075 = 31×52×112
Prime Factorization of 9077
| 29 | 9077 |
| 313 | 313 |
| 1 |
Prime factors of 9077 are 29,313. Prime factorization of 9077 in exponential form is:
9077 = 291×3131
Now multiplying the highest exponent prime factors to calculate the LCM of 9075 and 9077.
LCM(9075,9077) = 31×52×112×291×3131
LCM(9075,9077) = 82373775
Factors of 9075
List of positive integer factors of 9075 that divides 9075 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 165, 275, 363, 605, 825, 1815, 3025, 9075
Factors of 9077
List of positive integer factors of 9077 that divides 9077 without a remainder.
1, 29, 313, 9077
Least Common Multiple of 9075 and 9077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9075 and 9077, than apply into the LCM equation.
GCF(9075,9077) = 1
LCM(9075,9077) = ( 9075 × 9077) / 1
LCM(9075,9077) = 82373775 / 1
LCM(9075,9077) = 82373775
Properties of LCM 9075 and 9077
(i) The LCM of 9077 and 9075 is associative
LCM of 9075 and 9077 = LCM of 9077 and 9075
Related Least Common Multiples of 9075
Related Least Common Multiples of 9077
Frequently Asked Questions on LCM of 9075 and 9077
1. What is the LCM of 9075 and 9077?
Answer: LCM of 9075 and 9077 is 82373775.
2. What are the Factors of 9075?
Answer: Factors of 9075 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 165, 275, 363, 605, 825, 1815, 3025, 9075. There are 18 integers that are factors of 9075. The greatest factor of 9075 is 9075.
3. What are the Factors of 9077?
Answer: Factors of 9077 are 1, 29, 313, 9077. There are 4 integers that are factors of 9077. The greatest factor of 9077 is 9077.
4. How to Find the LCM of 9075 and 9077?
Answer:
Least Common Multiple of 9075 and 9077 = 82373775
Step 1: Find the prime factorization of 9075
9075 = 3 x 5 x 5 x 11 x 11
Step 2: Find the prime factorization of 9077
9077 = 29 x 313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 82373775 = 3 x 5 x 5 x 11 x 11 x 29 x 313
Step 4: Therefore, the least common multiple of 9075 and 9077 is 82373775.