Least Common Multiple of 9483 and 9490
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9483 and 9490 the smallest integer that is 89993670 that is divisible by both numbers.
Least Common Multiple (LCM) of 9483 and 9490 is 89993670.
LCM(9483,9490) = 89993670
LCM of 9483 and 9490
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9483 and 9490 by Prime method
- Least Common Multiple of 9483 and 9490 with GCF Formula
LCM of 9483 and 9490 is 89993670
Least common multiple can be found by multiplying the highest exponent prime factors of 9483 and 9490. First we will calculate the prime factors of 9483 and 9490.
Prime Factorization of 9483
| 3 | 9483 |
| 29 | 3161 |
| 109 | 109 |
| 1 |
Prime factors of 9483 are 3, 29,109. Prime factorization of 9483 in exponential form is:
9483 = 31×291×1091
Prime Factorization of 9490
| 2 | 9490 |
| 5 | 4745 |
| 13 | 949 |
| 73 | 73 |
| 1 |
Prime factors of 9490 are 2, 5, 13,73. Prime factorization of 9490 in exponential form is:
9490 = 21×51×131×731
Now multiplying the highest exponent prime factors to calculate the LCM of 9483 and 9490.
LCM(9483,9490) = 21×31×51×131×291×731×1091
LCM(9483,9490) = 89993670
Factors of 9483
List of positive integer factors of 9483 that divides 9483 without a remainder.
1, 3, 29, 87, 109, 327, 3161, 9483
Factors of 9490
List of positive integer factors of 9490 that divides 9490 without a remainder.
1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745, 9490
Least Common Multiple of 9483 and 9490 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9483 and 9490, than apply into the LCM equation.
GCF(9483,9490) = 1
LCM(9483,9490) = ( 9483 × 9490) / 1
LCM(9483,9490) = 89993670 / 1
LCM(9483,9490) = 89993670
Properties of LCM 9483 and 9490
(i) The LCM of 9490 and 9483 is associative
LCM of 9483 and 9490 = LCM of 9490 and 9483
Related Least Common Multiples of 9483
Related Least Common Multiples of 9490
Frequently Asked Questions on LCM of 9483 and 9490
1. What is the LCM of 9483 and 9490?
Answer: LCM of 9483 and 9490 is 89993670.
2. What are the Factors of 9483?
Answer: Factors of 9483 are 1, 3, 29, 87, 109, 327, 3161, 9483. There are 8 integers that are factors of 9483. The greatest factor of 9483 is 9483.
3. What are the Factors of 9490?
Answer: Factors of 9490 are 1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745, 9490. There are 16 integers that are factors of 9490. The greatest factor of 9490 is 9490.
4. How to Find the LCM of 9483 and 9490?
Answer:
Least Common Multiple of 9483 and 9490 = 89993670
Step 1: Find the prime factorization of 9483
9483 = 3 x 29 x 109
Step 2: Find the prime factorization of 9490
9490 = 2 x 5 x 13 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89993670 = 2 x 3 x 5 x 13 x 29 x 73 x 109
Step 4: Therefore, the least common multiple of 9483 and 9490 is 89993670.