Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9990 and 9993 the smallest integer that is 33276690 that is divisible by both numbers.
Least Common Multiple (LCM) of 9990 and 9993 is 33276690.
LCM(9990,9993) = 33276690
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 9990 and 9993. First we will calculate the prime factors of 9990 and 9993.
Prime Factorization of 9990
2 | 9990 |
3 | 4995 |
3 | 1665 |
3 | 555 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 9990 are 2, 3, 5,37. Prime factorization of 9990 in exponential form is:
9990 = 21×33×51×371
Prime Factorization of 9993
3 | 9993 |
3331 | 3331 |
1 |
Prime factors of 9993 are 3,3331. Prime factorization of 9993 in exponential form is:
9993 = 31×33311
Now multiplying the highest exponent prime factors to calculate the LCM of 9990 and 9993.
LCM(9990,9993) = 21×33×51×371×33311
LCM(9990,9993) = 33276690
Factors of 9990
List of positive integer factors of 9990 that divides 9990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 37, 45, 54, 74, 90, 111, 135, 185, 222, 270, 333, 370, 555, 666, 999, 1110, 1665, 1998, 3330, 4995, 9990
Factors of 9993
List of positive integer factors of 9993 that divides 9993 without a remainder.
1, 3, 3331, 9993
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9990 and 9993, than apply into the LCM equation.
GCF(9990,9993) = 3
LCM(9990,9993) = ( 9990 × 9993) / 3
LCM(9990,9993) = 99830070 / 3
LCM(9990,9993) = 33276690
(i) The LCM of 9993 and 9990 is associative
LCM of 9990 and 9993 = LCM of 9993 and 9990
1. What is the LCM of 9990 and 9993?
Answer: LCM of 9990 and 9993 is 33276690.
2. What are the Factors of 9990?
Answer: Factors of 9990 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 37, 45, 54, 74, 90, 111, 135, 185, 222, 270, 333, 370, 555, 666, 999, 1110, 1665, 1998, 3330, 4995, 9990. There are 32 integers that are factors of 9990. The greatest factor of 9990 is 9990.
3. What are the Factors of 9993?
Answer: Factors of 9993 are 1, 3, 3331, 9993. There are 4 integers that are factors of 9993. The greatest factor of 9993 is 9993.
4. How to Find the LCM of 9990 and 9993?
Answer:
Least Common Multiple of 9990 and 9993 = 33276690
Step 1: Find the prime factorization of 9990
9990 = 2 x 3 x 3 x 3 x 5 x 37
Step 2: Find the prime factorization of 9993
9993 = 3 x 3331
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33276690 = 2 x 3 x 3 x 3 x 5 x 37 x 3331
Step 4: Therefore, the least common multiple of 9990 and 9993 is 33276690.