Least Common Multiple of 9475 and 9481
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9475 and 9481 the smallest integer that is 89832475 that is divisible by both numbers.
Least Common Multiple (LCM) of 9475 and 9481 is 89832475.
LCM(9475,9481) = 89832475
LCM of 9475 and 9481
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9475 and 9481 by Prime method
- Least Common Multiple of 9475 and 9481 with GCF Formula
LCM of 9475 and 9481 is 89832475
Least common multiple can be found by multiplying the highest exponent prime factors of 9475 and 9481. First we will calculate the prime factors of 9475 and 9481.
Prime Factorization of 9475
| 5 | 9475 |
| 5 | 1895 |
| 379 | 379 |
| 1 |
Prime factors of 9475 are 5,379. Prime factorization of 9475 in exponential form is:
9475 = 52×3791
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9475 and 9481.
LCM(9475,9481) = 52×191×3791×4991
LCM(9475,9481) = 89832475
Factors of 9475
List of positive integer factors of 9475 that divides 9475 without a remainder.
1, 5, 25, 379, 1895, 9475
Factors of 9481
List of positive integer factors of 9481 that divides 9481 without a remainder.
1, 19, 499, 9481
Least Common Multiple of 9475 and 9481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9475 and 9481, than apply into the LCM equation.
GCF(9475,9481) = 1
LCM(9475,9481) = ( 9475 × 9481) / 1
LCM(9475,9481) = 89832475 / 1
LCM(9475,9481) = 89832475
Properties of LCM 9475 and 9481
(i) The LCM of 9481 and 9475 is associative
LCM of 9475 and 9481 = LCM of 9481 and 9475
Related Least Common Multiples of 9475
Related Least Common Multiples of 9481
Frequently Asked Questions on LCM of 9475 and 9481
1. What is the LCM of 9475 and 9481?
Answer: LCM of 9475 and 9481 is 89832475.
2. What are the Factors of 9475?
Answer: Factors of 9475 are 1, 5, 25, 379, 1895, 9475. There are 6 integers that are factors of 9475. The greatest factor of 9475 is 9475.
3. 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.
4. How to Find the LCM of 9475 and 9481?
Answer:
Least Common Multiple of 9475 and 9481 = 89832475
Step 1: Find the prime factorization of 9475
9475 = 5 x 5 x 379
Step 2: Find the prime factorization of 9481
9481 = 19 x 499
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89832475 = 5 x 5 x 19 x 379 x 499
Step 4: Therefore, the least common multiple of 9475 and 9481 is 89832475.