Least Common Multiple of 985 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 985 and 989 the smallest integer that is 974165 that is divisible by both numbers.
Least Common Multiple (LCM) of 985 and 989 is 974165.
LCM(985,989) = 974165
LCM of 985 and 989
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 985 and 989 by Prime method
- Least Common Multiple of 985 and 989 with GCF Formula
LCM of 985 and 989 is 974165
Least common multiple can be found by multiplying the highest exponent prime factors of 985 and 989. First we will calculate the prime factors of 985 and 989.
Prime Factorization of 985
| 5 | 985 |
| 197 | 197 |
| 1 |
Prime factors of 985 are 5,197. Prime factorization of 985 in exponential form is:
985 = 51×1971
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 985 and 989.
LCM(985,989) = 51×231×431×1971
LCM(985,989) = 974165
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Least Common Multiple of 985 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 985 and 989, than apply into the LCM equation.
GCF(985,989) = 1
LCM(985,989) = ( 985 × 989) / 1
LCM(985,989) = 974165 / 1
LCM(985,989) = 974165
Properties of LCM 985 and 989
(i) The LCM of 989 and 985 is associative
LCM of 985 and 989 = LCM of 989 and 985
Related Least Common Multiples of 985
Related Least Common Multiples of 989
Frequently Asked Questions on LCM of 985 and 989
1. What is the LCM of 985 and 989?
Answer: LCM of 985 and 989 is 974165.
2. What are the Factors of 985?
Answer: Factors of 985 are 1, 5, 197, 985. There are 4 integers that are factors of 985. The greatest factor of 985 is 985.
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 985 and 989?
Answer:
Least Common Multiple of 985 and 989 = 974165
Step 1: Find the prime factorization of 985
985 = 5 x 197
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 = 974165 = 5 x 23 x 43 x 197
Step 4: Therefore, the least common multiple of 985 and 989 is 974165.