Least Common Multiple of 9482 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 9482 and 9487 the smallest integer that is 89955734 that is divisible by both numbers.
Least Common Multiple (LCM) of 9482 and 9487 is 89955734.
LCM(9482,9487) = 89955734
LCM of 9482 and 9487
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9482 and 9487 by Prime method
- Least Common Multiple of 9482 and 9487 with GCF Formula
LCM of 9482 and 9487 is 89955734
Least common multiple can be found by multiplying the highest exponent prime factors of 9482 and 9487. First we will calculate the prime factors of 9482 and 9487.
Prime Factorization of 9482
| 2 | 9482 |
| 11 | 4741 |
| 431 | 431 |
| 1 |
Prime factors of 9482 are 2, 11,431. Prime factorization of 9482 in exponential form is:
9482 = 21×111×4311
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 9482 and 9487.
LCM(9482,9487) = 21×111×531×1791×4311
LCM(9482,9487) = 89955734
Factors of 9482
List of positive integer factors of 9482 that divides 9482 without a remainder.
1, 2, 11, 22, 431, 862, 4741, 9482
Factors of 9487
List of positive integer factors of 9487 that divides 9487 without a remainder.
1, 53, 179, 9487
Least Common Multiple of 9482 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 9482 and 9487, than apply into the LCM equation.
GCF(9482,9487) = 1
LCM(9482,9487) = ( 9482 × 9487) / 1
LCM(9482,9487) = 89955734 / 1
LCM(9482,9487) = 89955734
Properties of LCM 9482 and 9487
(i) The LCM of 9487 and 9482 is associative
LCM of 9482 and 9487 = LCM of 9487 and 9482
Related Least Common Multiples of 9482
Related Least Common Multiples of 9487
Frequently Asked Questions on LCM of 9482 and 9487
1. What is the LCM of 9482 and 9487?
Answer: LCM of 9482 and 9487 is 89955734.
2. What are the Factors of 9482?
Answer: Factors of 9482 are 1, 2, 11, 22, 431, 862, 4741, 9482. There are 8 integers that are factors of 9482. The greatest factor of 9482 is 9482.
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 9482 and 9487?
Answer:
Least Common Multiple of 9482 and 9487 = 89955734
Step 1: Find the prime factorization of 9482
9482 = 2 x 11 x 431
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 = 89955734 = 2 x 11 x 53 x 179 x 431
Step 4: Therefore, the least common multiple of 9482 and 9487 is 89955734.