Least Common Multiple of 9485 and 9489
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9485 and 9489 the smallest integer that is 90003165 that is divisible by both numbers.
Least Common Multiple (LCM) of 9485 and 9489 is 90003165.
LCM(9485,9489) = 90003165
LCM of 9485 and 9489
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9485 and 9489 by Prime method
- Least Common Multiple of 9485 and 9489 with GCF Formula
LCM of 9485 and 9489 is 90003165
Least common multiple can be found by multiplying the highest exponent prime factors of 9485 and 9489. First we will calculate the prime factors of 9485 and 9489.
Prime Factorization of 9485
| 5 | 9485 |
| 7 | 1897 |
| 271 | 271 |
| 1 |
Prime factors of 9485 are 5, 7,271. Prime factorization of 9485 in exponential form is:
9485 = 51×71×2711
Prime Factorization of 9489
| 3 | 9489 |
| 3163 | 3163 |
| 1 |
Prime factors of 9489 are 3,3163. Prime factorization of 9489 in exponential form is:
9489 = 31×31631
Now multiplying the highest exponent prime factors to calculate the LCM of 9485 and 9489.
LCM(9485,9489) = 31×51×71×2711×31631
LCM(9485,9489) = 90003165
Factors of 9485
List of positive integer factors of 9485 that divides 9485 without a remainder.
1, 5, 7, 35, 271, 1355, 1897, 9485
Factors of 9489
List of positive integer factors of 9489 that divides 9489 without a remainder.
1, 3, 3163, 9489
Least Common Multiple of 9485 and 9489 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9485 and 9489, than apply into the LCM equation.
GCF(9485,9489) = 1
LCM(9485,9489) = ( 9485 × 9489) / 1
LCM(9485,9489) = 90003165 / 1
LCM(9485,9489) = 90003165
Properties of LCM 9485 and 9489
(i) The LCM of 9489 and 9485 is associative
LCM of 9485 and 9489 = LCM of 9489 and 9485
Related Least Common Multiples of 9485
Related Least Common Multiples of 9489
Frequently Asked Questions on LCM of 9485 and 9489
1. What is the LCM of 9485 and 9489?
Answer: LCM of 9485 and 9489 is 90003165.
2. What are the Factors of 9485?
Answer: Factors of 9485 are 1, 5, 7, 35, 271, 1355, 1897, 9485. There are 8 integers that are factors of 9485. The greatest factor of 9485 is 9485.
3. What are the Factors of 9489?
Answer: Factors of 9489 are 1, 3, 3163, 9489. There are 4 integers that are factors of 9489. The greatest factor of 9489 is 9489.
4. How to Find the LCM of 9485 and 9489?
Answer:
Least Common Multiple of 9485 and 9489 = 90003165
Step 1: Find the prime factorization of 9485
9485 = 5 x 7 x 271
Step 2: Find the prime factorization of 9489
9489 = 3 x 3163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90003165 = 3 x 5 x 7 x 271 x 3163
Step 4: Therefore, the least common multiple of 9485 and 9489 is 90003165.