Least Common Multiple of 997 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 997 and 1001 the smallest integer that is 997997 that is divisible by both numbers.
Least Common Multiple (LCM) of 997 and 1001 is 997997.
LCM(997,1001) = 997997
LCM of 997 and 1001
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 997 and 1001 by Prime method
- Least Common Multiple of 997 and 1001 with GCF Formula
LCM of 997 and 1001 is 997997
Least common multiple can be found by multiplying the highest exponent prime factors of 997 and 1001. First we will calculate the prime factors of 997 and 1001.
Prime Factorization of 997
| 997 | 997 |
| 1 |
Prime factors of 997 are 997. Prime factorization of 997 in exponential form is:
997 = 9971
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 997 and 1001.
LCM(997,1001) = 71×111×131×9971
LCM(997,1001) = 997997
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1, 997
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 997 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 997 and 1001, than apply into the LCM equation.
GCF(997,1001) = 1
LCM(997,1001) = ( 997 × 1001) / 1
LCM(997,1001) = 997997 / 1
LCM(997,1001) = 997997
Properties of LCM 997 and 1001
(i) The LCM of 1001 and 997 is associative
LCM of 997 and 1001 = LCM of 1001 and 997
Related Least Common Multiples of 997
Related Least Common Multiples of 1001
Frequently Asked Questions on LCM of 997 and 1001
1. What is the LCM of 997 and 1001?
Answer: LCM of 997 and 1001 is 997997.
2. What are the Factors of 997?
Answer: Factors of 997 are 1, 997. There are 2 integers that are factors of 997. The greatest factor of 997 is 997.
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 997 and 1001?
Answer:
Least Common Multiple of 997 and 1001 = 997997
Step 1: Find the prime factorization of 997
997 = 997
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 = 997997 = 7 x 11 x 13 x 997
Step 4: Therefore, the least common multiple of 997 and 1001 is 997997.