Least Common Multiple of 9487 and 9494
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9487 and 9494 the smallest integer that is 90069578 that is divisible by both numbers.
Least Common Multiple (LCM) of 9487 and 9494 is 90069578.
LCM(9487,9494) = 90069578
LCM of 9487 and 9494
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9487 and 9494 by Prime method
- Least Common Multiple of 9487 and 9494 with GCF Formula
LCM of 9487 and 9494 is 90069578
Least common multiple can be found by multiplying the highest exponent prime factors of 9487 and 9494. First we will calculate the prime factors of 9487 and 9494.
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
Prime Factorization of 9494
| 2 | 9494 |
| 47 | 4747 |
| 101 | 101 |
| 1 |
Prime factors of 9494 are 2, 47,101. Prime factorization of 9494 in exponential form is:
9494 = 21×471×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 9487 and 9494.
LCM(9487,9494) = 21×471×531×1011×1791
LCM(9487,9494) = 90069578
Factors of 9487
List of positive integer factors of 9487 that divides 9487 without a remainder.
1, 53, 179, 9487
Factors of 9494
List of positive integer factors of 9494 that divides 9494 without a remainder.
1, 2, 47, 94, 101, 202, 4747, 9494
Least Common Multiple of 9487 and 9494 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9487 and 9494, than apply into the LCM equation.
GCF(9487,9494) = 1
LCM(9487,9494) = ( 9487 × 9494) / 1
LCM(9487,9494) = 90069578 / 1
LCM(9487,9494) = 90069578
Properties of LCM 9487 and 9494
(i) The LCM of 9494 and 9487 is associative
LCM of 9487 and 9494 = LCM of 9494 and 9487
Related Least Common Multiples of 9487
Related Least Common Multiples of 9494
Frequently Asked Questions on LCM of 9487 and 9494
1. What is the LCM of 9487 and 9494?
Answer: LCM of 9487 and 9494 is 90069578.
2. 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.
3. What are the Factors of 9494?
Answer: Factors of 9494 are 1, 2, 47, 94, 101, 202, 4747, 9494. There are 8 integers that are factors of 9494. The greatest factor of 9494 is 9494.
4. How to Find the LCM of 9487 and 9494?
Answer:
Least Common Multiple of 9487 and 9494 = 90069578
Step 1: Find the prime factorization of 9487
9487 = 53 x 179
Step 2: Find the prime factorization of 9494
9494 = 2 x 47 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90069578 = 2 x 47 x 53 x 101 x 179
Step 4: Therefore, the least common multiple of 9487 and 9494 is 90069578.