Least Common Multiple of 1003 and 1011
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1003 and 1011 the smallest integer that is 1014033 that is divisible by both numbers.
Least Common Multiple (LCM) of 1003 and 1011 is 1014033.
LCM(1003,1011) = 1014033
LCM of 1003 and 1011
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1003 and 1011 by Prime method
- Least Common Multiple of 1003 and 1011 with GCF Formula
LCM of 1003 and 1011 is 1014033
Least common multiple can be found by multiplying the highest exponent prime factors of 1003 and 1011. First we will calculate the prime factors of 1003 and 1011.
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
Prime Factorization of 1011
| 3 | 1011 |
| 337 | 337 |
| 1 |
Prime factors of 1011 are 3,337. Prime factorization of 1011 in exponential form is:
1011 = 31×3371
Now multiplying the highest exponent prime factors to calculate the LCM of 1003 and 1011.
LCM(1003,1011) = 31×171×591×3371
LCM(1003,1011) = 1014033
Factors of 1003
List of positive integer factors of 1003 that divides 1003 without a remainder.
1, 17, 59, 1003
Factors of 1011
List of positive integer factors of 1011 that divides 1011 without a remainder.
1, 3, 337, 1011
Least Common Multiple of 1003 and 1011 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1003 and 1011, than apply into the LCM equation.
GCF(1003,1011) = 1
LCM(1003,1011) = ( 1003 × 1011) / 1
LCM(1003,1011) = 1014033 / 1
LCM(1003,1011) = 1014033
Properties of LCM 1003 and 1011
(i) The LCM of 1011 and 1003 is associative
LCM of 1003 and 1011 = LCM of 1011 and 1003
Related Least Common Multiples of 1003
Related Least Common Multiples of 1011
Frequently Asked Questions on LCM of 1003 and 1011
1. What is the LCM of 1003 and 1011?
Answer: LCM of 1003 and 1011 is 1014033.
2. 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.
3. What are the Factors of 1011?
Answer: Factors of 1011 are 1, 3, 337, 1011. There are 4 integers that are factors of 1011. The greatest factor of 1011 is 1011.
4. How to Find the LCM of 1003 and 1011?
Answer:
Least Common Multiple of 1003 and 1011 = 1014033
Step 1: Find the prime factorization of 1003
1003 = 17 x 59
Step 2: Find the prime factorization of 1011
1011 = 3 x 337
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1014033 = 3 x 17 x 59 x 337
Step 4: Therefore, the least common multiple of 1003 and 1011 is 1014033.
