Least Common Multiple of 9052 and 9057
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9052 and 9057 the smallest integer that is 81983964 that is divisible by both numbers.
Least Common Multiple (LCM) of 9052 and 9057 is 81983964.
LCM(9052,9057) = 81983964
LCM of 9052 and 9057
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9052 and 9057 by Prime method
- Least Common Multiple of 9052 and 9057 with GCF Formula
LCM of 9052 and 9057 is 81983964
Least common multiple can be found by multiplying the highest exponent prime factors of 9052 and 9057. First we will calculate the prime factors of 9052 and 9057.
Prime Factorization of 9052
| 2 | 9052 |
| 2 | 4526 |
| 31 | 2263 |
| 73 | 73 |
| 1 |
Prime factors of 9052 are 2, 31,73. Prime factorization of 9052 in exponential form is:
9052 = 22×311×731
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9052 and 9057.
LCM(9052,9057) = 22×31×311×731×30191
LCM(9052,9057) = 81983964
Factors of 9052
List of positive integer factors of 9052 that divides 9052 without a remainder.
1, 2, 4, 31, 62, 73, 124, 146, 292, 2263, 4526, 9052
Factors of 9057
List of positive integer factors of 9057 that divides 9057 without a remainder.
1, 3, 3019, 9057
Least Common Multiple of 9052 and 9057 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9052 and 9057, than apply into the LCM equation.
GCF(9052,9057) = 1
LCM(9052,9057) = ( 9052 × 9057) / 1
LCM(9052,9057) = 81983964 / 1
LCM(9052,9057) = 81983964
Properties of LCM 9052 and 9057
(i) The LCM of 9057 and 9052 is associative
LCM of 9052 and 9057 = LCM of 9057 and 9052
Related Least Common Multiples of 9052
Related Least Common Multiples of 9057
Frequently Asked Questions on LCM of 9052 and 9057
1. What is the LCM of 9052 and 9057?
Answer: LCM of 9052 and 9057 is 81983964.
2. What are the Factors of 9052?
Answer: Factors of 9052 are 1, 2, 4, 31, 62, 73, 124, 146, 292, 2263, 4526, 9052. There are 12 integers that are factors of 9052. The greatest factor of 9052 is 9052.
3. 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.
4. How to Find the LCM of 9052 and 9057?
Answer:
Least Common Multiple of 9052 and 9057 = 81983964
Step 1: Find the prime factorization of 9052
9052 = 2 x 2 x 31 x 73
Step 2: Find the prime factorization of 9057
9057 = 3 x 3019
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 81983964 = 2 x 2 x 3 x 31 x 73 x 3019
Step 4: Therefore, the least common multiple of 9052 and 9057 is 81983964.