Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9489 and 9494 the smallest integer that is 90088566 that is divisible by both numbers.
Least Common Multiple (LCM) of 9489 and 9494 is 90088566.
LCM(9489,9494) = 90088566
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9489 and 9494. First we will calculate the prime factors of 9489 and 9494.
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
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 9489 and 9494.
LCM(9489,9494) = 21×31×471×1011×31631
LCM(9489,9494) = 90088566
Factors of 9489
List of positive integer factors of 9489 that divides 9489 without a remainder.
1, 3, 3163, 9489
Factors of 9494
List of positive integer factors of 9494 that divides 9494 without a remainder.
1, 2, 47, 94, 101, 202, 4747, 9494
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9489 and 9494, than apply into the LCM equation.
GCF(9489,9494) = 1
LCM(9489,9494) = ( 9489 × 9494) / 1
LCM(9489,9494) = 90088566 / 1
LCM(9489,9494) = 90088566
(i) The LCM of 9494 and 9489 is associative
LCM of 9489 and 9494 = LCM of 9494 and 9489
1. What is the LCM of 9489 and 9494?
Answer: LCM of 9489 and 9494 is 90088566.
2. 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.
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 9489 and 9494?
Answer:
Least Common Multiple of 9489 and 9494 = 90088566
Step 1: Find the prime factorization of 9489
9489 = 3 x 3163
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 = 90088566 = 2 x 3 x 47 x 101 x 3163
Step 4: Therefore, the least common multiple of 9489 and 9494 is 90088566.