Least Common Multiple of 986 and 989
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 986 and 989 the smallest integer that is 975154 that is divisible by both numbers.
Least Common Multiple (LCM) of 986 and 989 is 975154.
LCM(986,989) = 975154
LCM of 986 and 989
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 986 and 989 by Prime method
- Least Common Multiple of 986 and 989 with GCF Formula
LCM of 986 and 989 is 975154
Least common multiple can be found by multiplying the highest exponent prime factors of 986 and 989. First we will calculate the prime factors of 986 and 989.
Prime Factorization of 986
| 2 | 986 |
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 986 are 2, 17,29. Prime factorization of 986 in exponential form is:
986 = 21×171×291
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
Now multiplying the highest exponent prime factors to calculate the LCM of 986 and 989.
LCM(986,989) = 21×171×231×291×431
LCM(986,989) = 975154
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Least Common Multiple of 986 and 989 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 986 and 989, than apply into the LCM equation.
GCF(986,989) = 1
LCM(986,989) = ( 986 × 989) / 1
LCM(986,989) = 975154 / 1
LCM(986,989) = 975154
Properties of LCM 986 and 989
(i) The LCM of 989 and 986 is associative
LCM of 986 and 989 = LCM of 989 and 986
Related Least Common Multiples of 986
Related Least Common Multiples of 989
Frequently Asked Questions on LCM of 986 and 989
1. What is the LCM of 986 and 989?
Answer: LCM of 986 and 989 is 975154.
2. What are the Factors of 986?
Answer: Factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986. There are 8 integers that are factors of 986. The greatest factor of 986 is 986.
3. 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.
4. How to Find the LCM of 986 and 989?
Answer:
Least Common Multiple of 986 and 989 = 975154
Step 1: Find the prime factorization of 986
986 = 2 x 17 x 29
Step 2: Find the prime factorization of 989
989 = 23 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 975154 = 2 x 17 x 23 x 29 x 43
Step 4: Therefore, the least common multiple of 986 and 989 is 975154.
