Least Common Multiple of 989 and 995
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 995 the smallest integer that is 984055 that is divisible by both numbers.
Least Common Multiple (LCM) of 989 and 995 is 984055.
LCM(989,995) = 984055
LCM of 989 and 995
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 989 and 995 by Prime method
- Least Common Multiple of 989 and 995 with GCF Formula
LCM of 989 and 995 is 984055
Least common multiple can be found by multiplying the highest exponent prime factors of 989 and 995. First we will calculate the prime factors of 989 and 995.
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 995
| 5 | 995 |
| 199 | 199 |
| 1 |
Prime factors of 995 are 5,199. Prime factorization of 995 in exponential form is:
995 = 51×1991
Now multiplying the highest exponent prime factors to calculate the LCM of 989 and 995.
LCM(989,995) = 51×231×431×1991
LCM(989,995) = 984055
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Factors of 995
List of positive integer factors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Least Common Multiple of 989 and 995 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 995, than apply into the LCM equation.
GCF(989,995) = 1
LCM(989,995) = ( 989 × 995) / 1
LCM(989,995) = 984055 / 1
LCM(989,995) = 984055
Properties of LCM 989 and 995
(i) The LCM of 995 and 989 is associative
LCM of 989 and 995 = LCM of 995 and 989
Related Least Common Multiples of 989
Related Least Common Multiples of 995
Frequently Asked Questions on LCM of 989 and 995
1. What is the LCM of 989 and 995?
Answer: LCM of 989 and 995 is 984055.
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 995?
Answer: Factors of 995 are 1, 5, 199, 995. There are 4 integers that are factors of 995. The greatest factor of 995 is 995.
4. How to Find the LCM of 989 and 995?
Answer:
Least Common Multiple of 989 and 995 = 984055
Step 1: Find the prime factorization of 989
989 = 23 x 43
Step 2: Find the prime factorization of 995
995 = 5 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 984055 = 5 x 23 x 43 x 199
Step 4: Therefore, the least common multiple of 989 and 995 is 984055.