Least Common Multiple of 993 and 1001
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 993 and 1001 the smallest integer that is 993993 that is divisible by both numbers.
Least Common Multiple (LCM) of 993 and 1001 is 993993.
LCM(993,1001) = 993993
LCM of 993 and 1001
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 993 and 1001 by Prime method
- Least Common Multiple of 993 and 1001 with GCF Formula
LCM of 993 and 1001 is 993993
Least common multiple can be found by multiplying the highest exponent prime factors of 993 and 1001. First we will calculate the prime factors of 993 and 1001.
Prime Factorization of 993
| 3 | 993 |
| 331 | 331 |
| 1 |
Prime factors of 993 are 3,331. Prime factorization of 993 in exponential form is:
993 = 31×3311
Prime Factorization of 1001
| 7 | 1001 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 1001 are 7, 11,13. Prime factorization of 1001 in exponential form is:
1001 = 71×111×131
Now multiplying the highest exponent prime factors to calculate the LCM of 993 and 1001.
LCM(993,1001) = 31×71×111×131×3311
LCM(993,1001) = 993993
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Factors of 1001
List of positive integer factors of 1001 that divides 1001 without a remainder.
1, 7, 11, 13, 77, 91, 143, 1001
Least Common Multiple of 993 and 1001 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 993 and 1001, than apply into the LCM equation.
GCF(993,1001) = 1
LCM(993,1001) = ( 993 × 1001) / 1
LCM(993,1001) = 993993 / 1
LCM(993,1001) = 993993
Properties of LCM 993 and 1001
(i) The LCM of 1001 and 993 is associative
LCM of 993 and 1001 = LCM of 1001 and 993
Related Least Common Multiples of 993
Related Least Common Multiples of 1001
Frequently Asked Questions on LCM of 993 and 1001
1. What is the LCM of 993 and 1001?
Answer: LCM of 993 and 1001 is 993993.
2. What are the Factors of 993?
Answer: Factors of 993 are 1, 3, 331, 993. There are 4 integers that are factors of 993. The greatest factor of 993 is 993.
3. What are the Factors of 1001?
Answer: Factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001. There are 8 integers that are factors of 1001. The greatest factor of 1001 is 1001.
4. How to Find the LCM of 993 and 1001?
Answer:
Least Common Multiple of 993 and 1001 = 993993
Step 1: Find the prime factorization of 993
993 = 3 x 331
Step 2: Find the prime factorization of 1001
1001 = 7 x 11 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 993993 = 3 x 7 x 11 x 13 x 331
Step 4: Therefore, the least common multiple of 993 and 1001 is 993993.