Least Common Multiple of 994 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 994 and 1001 the smallest integer that is 142142 that is divisible by both numbers.
Least Common Multiple (LCM) of 994 and 1001 is 142142.
LCM(994,1001) = 142142
LCM of 994 and 1001
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 994 and 1001 by Prime method
- Least Common Multiple of 994 and 1001 with GCF Formula
LCM of 994 and 1001 is 142142
Least common multiple can be found by multiplying the highest exponent prime factors of 994 and 1001. First we will calculate the prime factors of 994 and 1001.
Prime Factorization of 994
| 2 | 994 |
| 7 | 497 |
| 71 | 71 |
| 1 |
Prime factors of 994 are 2, 7,71. Prime factorization of 994 in exponential form is:
994 = 21×71×711
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 994 and 1001.
LCM(994,1001) = 21×71×111×131×711
LCM(994,1001) = 142142
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
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 994 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 994 and 1001, than apply into the LCM equation.
GCF(994,1001) = 7
LCM(994,1001) = ( 994 × 1001) / 7
LCM(994,1001) = 994994 / 7
LCM(994,1001) = 142142
Properties of LCM 994 and 1001
(i) The LCM of 1001 and 994 is associative
LCM of 994 and 1001 = LCM of 1001 and 994
Related Least Common Multiples of 994
Related Least Common Multiples of 1001
Frequently Asked Questions on LCM of 994 and 1001
1. What is the LCM of 994 and 1001?
Answer: LCM of 994 and 1001 is 142142.
2. What are the Factors of 994?
Answer: Factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994. There are 8 integers that are factors of 994. The greatest factor of 994 is 994.
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 994 and 1001?
Answer:
Least Common Multiple of 994 and 1001 = 142142
Step 1: Find the prime factorization of 994
994 = 2 x 7 x 71
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 = 142142 = 2 x 7 x 11 x 13 x 71
Step 4: Therefore, the least common multiple of 994 and 1001 is 142142.