Least Common Multiple of 9481 and 9487
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9481 and 9487 the smallest integer that is 89946247 that is divisible by both numbers.
Least Common Multiple (LCM) of 9481 and 9487 is 89946247.
LCM(9481,9487) = 89946247
LCM of 9481 and 9487
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9481 and 9487 by Prime method
- Least Common Multiple of 9481 and 9487 with GCF Formula
LCM of 9481 and 9487 is 89946247
Least common multiple can be found by multiplying the highest exponent prime factors of 9481 and 9487. First we will calculate the prime factors of 9481 and 9487.
Prime Factorization of 9481
| 19 | 9481 |
| 499 | 499 |
| 1 |
Prime factors of 9481 are 19,499. Prime factorization of 9481 in exponential form is:
9481 = 191×4991
Prime Factorization of 9487
| 53 | 9487 |
| 179 | 179 |
| 1 |
Prime factors of 9487 are 53,179. Prime factorization of 9487 in exponential form is:
9487 = 531×1791
Now multiplying the highest exponent prime factors to calculate the LCM of 9481 and 9487.
LCM(9481,9487) = 191×531×1791×4991
LCM(9481,9487) = 89946247
Factors of 9481
List of positive integer factors of 9481 that divides 9481 without a remainder.
1, 19, 499, 9481
Factors of 9487
List of positive integer factors of 9487 that divides 9487 without a remainder.
1, 53, 179, 9487
Least Common Multiple of 9481 and 9487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9481 and 9487, than apply into the LCM equation.
GCF(9481,9487) = 1
LCM(9481,9487) = ( 9481 × 9487) / 1
LCM(9481,9487) = 89946247 / 1
LCM(9481,9487) = 89946247
Properties of LCM 9481 and 9487
(i) The LCM of 9487 and 9481 is associative
LCM of 9481 and 9487 = LCM of 9487 and 9481
Related Least Common Multiples of 9481
Related Least Common Multiples of 9487
Frequently Asked Questions on LCM of 9481 and 9487
1. What is the LCM of 9481 and 9487?
Answer: LCM of 9481 and 9487 is 89946247.
2. What are the Factors of 9481?
Answer: Factors of 9481 are 1, 19, 499, 9481. There are 4 integers that are factors of 9481. The greatest factor of 9481 is 9481.
3. What are the Factors of 9487?
Answer: Factors of 9487 are 1, 53, 179, 9487. There are 4 integers that are factors of 9487. The greatest factor of 9487 is 9487.
4. How to Find the LCM of 9481 and 9487?
Answer:
Least Common Multiple of 9481 and 9487 = 89946247
Step 1: Find the prime factorization of 9481
9481 = 19 x 499
Step 2: Find the prime factorization of 9487
9487 = 53 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89946247 = 19 x 53 x 179 x 499
Step 4: Therefore, the least common multiple of 9481 and 9487 is 89946247.