Least Common Multiple of 999 and 1003
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 999 and 1003 the smallest integer that is 1001997 that is divisible by both numbers.
Least Common Multiple (LCM) of 999 and 1003 is 1001997.
LCM(999,1003) = 1001997
LCM of 999 and 1003
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 999 and 1003 by Prime method
- Least Common Multiple of 999 and 1003 with GCF Formula
LCM of 999 and 1003 is 1001997
Least common multiple can be found by multiplying the highest exponent prime factors of 999 and 1003. First we will calculate the prime factors of 999 and 1003.
Prime Factorization of 999
| 3 | 999 |
| 3 | 333 |
| 3 | 111 |
| 37 | 37 |
| 1 |
Prime factors of 999 are 3,37. Prime factorization of 999 in exponential form is:
999 = 33×371
Prime Factorization of 1003
| 17 | 1003 |
| 59 | 59 |
| 1 |
Prime factors of 1003 are 17,59. Prime factorization of 1003 in exponential form is:
1003 = 171×591
Now multiplying the highest exponent prime factors to calculate the LCM of 999 and 1003.
LCM(999,1003) = 33×171×371×591
LCM(999,1003) = 1001997
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Factors of 1003
List of positive integer factors of 1003 that divides 1003 without a remainder.
1, 17, 59, 1003
Least Common Multiple of 999 and 1003 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 999 and 1003, than apply into the LCM equation.
GCF(999,1003) = 1
LCM(999,1003) = ( 999 × 1003) / 1
LCM(999,1003) = 1001997 / 1
LCM(999,1003) = 1001997
Properties of LCM 999 and 1003
(i) The LCM of 1003 and 999 is associative
LCM of 999 and 1003 = LCM of 1003 and 999
Related Least Common Multiples of 999
Related Least Common Multiples of 1003
Frequently Asked Questions on LCM of 999 and 1003
1. What is the LCM of 999 and 1003?
Answer: LCM of 999 and 1003 is 1001997.
2. What are the Factors of 999?
Answer: Factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999. There are 8 integers that are factors of 999. The greatest factor of 999 is 999.
3. What are the Factors of 1003?
Answer: Factors of 1003 are 1, 17, 59, 1003. There are 4 integers that are factors of 1003. The greatest factor of 1003 is 1003.
4. How to Find the LCM of 999 and 1003?
Answer:
Least Common Multiple of 999 and 1003 = 1001997
Step 1: Find the prime factorization of 999
999 = 3 x 3 x 3 x 37
Step 2: Find the prime factorization of 1003
1003 = 17 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1001997 = 3 x 3 x 3 x 17 x 37 x 59
Step 4: Therefore, the least common multiple of 999 and 1003 is 1001997.
