Least Common Multiple of 9474 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 9474 and 9481 the smallest integer that is 89822994 that is divisible by both numbers.
Least Common Multiple (LCM) of 9474 and 9481 is 89822994.
LCM(9474,9481) = 89822994
LCM of 9474 and 9481
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9474 and 9481 by Prime method
- Least Common Multiple of 9474 and 9481 with GCF Formula
LCM of 9474 and 9481 is 89822994
Least common multiple can be found by multiplying the highest exponent prime factors of 9474 and 9481. First we will calculate the prime factors of 9474 and 9481.
Prime Factorization of 9474
| 2 | 9474 |
| 3 | 4737 |
| 1579 | 1579 |
| 1 |
Prime factors of 9474 are 2, 3,1579. Prime factorization of 9474 in exponential form is:
9474 = 21×31×15791
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 9474 and 9481.
LCM(9474,9481) = 21×31×191×4991×15791
LCM(9474,9481) = 89822994
Factors of 9474
List of positive integer factors of 9474 that divides 9474 without a remainder.
1, 2, 3, 6, 1579, 3158, 4737, 9474
Factors of 9481
List of positive integer factors of 9481 that divides 9481 without a remainder.
1, 19, 499, 9481
Least Common Multiple of 9474 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 9474 and 9481, than apply into the LCM equation.
GCF(9474,9481) = 1
LCM(9474,9481) = ( 9474 × 9481) / 1
LCM(9474,9481) = 89822994 / 1
LCM(9474,9481) = 89822994
Properties of LCM 9474 and 9481
(i) The LCM of 9481 and 9474 is associative
LCM of 9474 and 9481 = LCM of 9481 and 9474
Related Least Common Multiples of 9474
Related Least Common Multiples of 9481
Frequently Asked Questions on LCM of 9474 and 9481
1. What is the LCM of 9474 and 9481?
Answer: LCM of 9474 and 9481 is 89822994.
2. What are the Factors of 9474?
Answer: Factors of 9474 are 1, 2, 3, 6, 1579, 3158, 4737, 9474. There are 8 integers that are factors of 9474. The greatest factor of 9474 is 9474.
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 9474 and 9481?
Answer:
Least Common Multiple of 9474 and 9481 = 89822994
Step 1: Find the prime factorization of 9474
9474 = 2 x 3 x 1579
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 = 89822994 = 2 x 3 x 19 x 499 x 1579
Step 4: Therefore, the least common multiple of 9474 and 9481 is 89822994.