Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9989 and 9994 the smallest integer that is 99830066 that is divisible by both numbers.
Least Common Multiple (LCM) of 9989 and 9994 is 99830066.
LCM(9989,9994) = 99830066
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 9989 and 9994. First we will calculate the prime factors of 9989 and 9994.
Prime Factorization of 9989
7 | 9989 |
1427 | 1427 |
1 |
Prime factors of 9989 are 7,1427. Prime factorization of 9989 in exponential form is:
9989 = 71×14271
Prime Factorization of 9994
2 | 9994 |
19 | 4997 |
263 | 263 |
1 |
Prime factors of 9994 are 2, 19,263. Prime factorization of 9994 in exponential form is:
9994 = 21×191×2631
Now multiplying the highest exponent prime factors to calculate the LCM of 9989 and 9994.
LCM(9989,9994) = 21×71×191×2631×14271
LCM(9989,9994) = 99830066
Factors of 9989
List of positive integer factors of 9989 that divides 9989 without a remainder.
1, 7, 1427, 9989
Factors of 9994
List of positive integer factors of 9994 that divides 9994 without a remainder.
1, 2, 19, 38, 263, 526, 4997, 9994
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9989 and 9994, than apply into the LCM equation.
GCF(9989,9994) = 1
LCM(9989,9994) = ( 9989 × 9994) / 1
LCM(9989,9994) = 99830066 / 1
LCM(9989,9994) = 99830066
(i) The LCM of 9994 and 9989 is associative
LCM of 9989 and 9994 = LCM of 9994 and 9989
1. What is the LCM of 9989 and 9994?
Answer: LCM of 9989 and 9994 is 99830066.
2. What are the Factors of 9989?
Answer: Factors of 9989 are 1, 7, 1427, 9989. There are 4 integers that are factors of 9989. The greatest factor of 9989 is 9989.
3. What are the Factors of 9994?
Answer: Factors of 9994 are 1, 2, 19, 38, 263, 526, 4997, 9994. There are 8 integers that are factors of 9994. The greatest factor of 9994 is 9994.
4. How to Find the LCM of 9989 and 9994?
Answer:
Least Common Multiple of 9989 and 9994 = 99830066
Step 1: Find the prime factorization of 9989
9989 = 7 x 1427
Step 2: Find the prime factorization of 9994
9994 = 2 x 19 x 263
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99830066 = 2 x 7 x 19 x 263 x 1427
Step 4: Therefore, the least common multiple of 9989 and 9994 is 99830066.