Least Common Multiple of 994 and 1000
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 1000 the smallest integer that is 497000 that is divisible by both numbers.
Least Common Multiple (LCM) of 994 and 1000 is 497000.
LCM(994,1000) = 497000
LCM of 994 and 1000
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 994 and 1000 by Prime method
- Least Common Multiple of 994 and 1000 with GCF Formula
LCM of 994 and 1000 is 497000
Least common multiple can be found by multiplying the highest exponent prime factors of 994 and 1000. First we will calculate the prime factors of 994 and 1000.
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 1000
| 2 | 1000 |
| 2 | 500 |
| 2 | 250 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 1000 are 2,5. Prime factorization of 1000 in exponential form is:
1000 = 23×53
Now multiplying the highest exponent prime factors to calculate the LCM of 994 and 1000.
LCM(994,1000) = 23×53×71×711
LCM(994,1000) = 497000
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 1000
List of positive integer factors of 1000 that divides 1000 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
Least Common Multiple of 994 and 1000 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 1000, than apply into the LCM equation.
GCF(994,1000) = 2
LCM(994,1000) = ( 994 × 1000) / 2
LCM(994,1000) = 994000 / 2
LCM(994,1000) = 497000
Properties of LCM 994 and 1000
(i) The LCM of 1000 and 994 is associative
LCM of 994 and 1000 = LCM of 1000 and 994
Related Least Common Multiples of 994
Related Least Common Multiples of 1000
Frequently Asked Questions on LCM of 994 and 1000
1. What is the LCM of 994 and 1000?
Answer: LCM of 994 and 1000 is 497000.
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 1000?
Answer: Factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000. There are 16 integers that are factors of 1000. The greatest factor of 1000 is 1000.
4. How to Find the LCM of 994 and 1000?
Answer:
Least Common Multiple of 994 and 1000 = 497000
Step 1: Find the prime factorization of 994
994 = 2 x 7 x 71
Step 2: Find the prime factorization of 1000
1000 = 2 x 2 x 2 x 5 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 497000 = 2 x 2 x 2 x 5 x 5 x 5 x 7 x 71
Step 4: Therefore, the least common multiple of 994 and 1000 is 497000.
