Least Common Multiple of 989 and 994
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 989 and 994 the smallest integer that is 983066 that is divisible by both numbers.
Least Common Multiple (LCM) of 989 and 994 is 983066.
LCM(989,994) = 983066
LCM of 989 and 994
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 989 and 994 by Prime method
- Least Common Multiple of 989 and 994 with GCF Formula
LCM of 989 and 994 is 983066
Least common multiple can be found by multiplying the highest exponent prime factors of 989 and 994. First we will calculate the prime factors of 989 and 994.
Prime Factorization of 989
| 23 | 989 |
| 43 | 43 |
| 1 |
Prime factors of 989 are 23,43. Prime factorization of 989 in exponential form is:
989 = 231×431
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
Now multiplying the highest exponent prime factors to calculate the LCM of 989 and 994.
LCM(989,994) = 21×71×231×431×711
LCM(989,994) = 983066
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Least Common Multiple of 989 and 994 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 989 and 994, than apply into the LCM equation.
GCF(989,994) = 1
LCM(989,994) = ( 989 × 994) / 1
LCM(989,994) = 983066 / 1
LCM(989,994) = 983066
Properties of LCM 989 and 994
(i) The LCM of 994 and 989 is associative
LCM of 989 and 994 = LCM of 994 and 989
Related Least Common Multiples of 989
Related Least Common Multiples of 994
Frequently Asked Questions on LCM of 989 and 994
1. What is the LCM of 989 and 994?
Answer: LCM of 989 and 994 is 983066.
2. What are the Factors of 989?
Answer: Factors of 989 are 1, 23, 43, 989. There are 4 integers that are factors of 989. The greatest factor of 989 is 989.
3. 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.
4. How to Find the LCM of 989 and 994?
Answer:
Least Common Multiple of 989 and 994 = 983066
Step 1: Find the prime factorization of 989
989 = 23 x 43
Step 2: Find the prime factorization of 994
994 = 2 x 7 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 983066 = 2 x 7 x 23 x 43 x 71
Step 4: Therefore, the least common multiple of 989 and 994 is 983066.