Least Common Multiple of 8985 and 8989
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8985 and 8989 the smallest integer that is 80766165 that is divisible by both numbers.
Least Common Multiple (LCM) of 8985 and 8989 is 80766165.
LCM(8985,8989) = 80766165
LCM of 8985 and 8989
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8985 and 8989 by Prime method
- Least Common Multiple of 8985 and 8989 with GCF Formula
LCM of 8985 and 8989 is 80766165
Least common multiple can be found by multiplying the highest exponent prime factors of 8985 and 8989. First we will calculate the prime factors of 8985 and 8989.
Prime Factorization of 8985
| 3 | 8985 |
| 5 | 2995 |
| 599 | 599 |
| 1 |
Prime factors of 8985 are 3, 5,599. Prime factorization of 8985 in exponential form is:
8985 = 31×51×5991
Prime Factorization of 8989
| 89 | 8989 |
| 101 | 101 |
| 1 |
Prime factors of 8989 are 89,101. Prime factorization of 8989 in exponential form is:
8989 = 891×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 8985 and 8989.
LCM(8985,8989) = 31×51×891×1011×5991
LCM(8985,8989) = 80766165
Factors of 8985
List of positive integer factors of 8985 that divides 8985 without a remainder.
1, 3, 5, 15, 599, 1797, 2995, 8985
Factors of 8989
List of positive integer factors of 8989 that divides 8989 without a remainder.
1, 89, 101, 8989
Least Common Multiple of 8985 and 8989 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8985 and 8989, than apply into the LCM equation.
GCF(8985,8989) = 1
LCM(8985,8989) = ( 8985 × 8989) / 1
LCM(8985,8989) = 80766165 / 1
LCM(8985,8989) = 80766165
Properties of LCM 8985 and 8989
(i) The LCM of 8989 and 8985 is associative
LCM of 8985 and 8989 = LCM of 8989 and 8985
Related Least Common Multiples of 8985
Related Least Common Multiples of 8989
Frequently Asked Questions on LCM of 8985 and 8989
1. What is the LCM of 8985 and 8989?
Answer: LCM of 8985 and 8989 is 80766165.
2. What are the Factors of 8985?
Answer: Factors of 8985 are 1, 3, 5, 15, 599, 1797, 2995, 8985. There are 8 integers that are factors of 8985. The greatest factor of 8985 is 8985.
3. What are the Factors of 8989?
Answer: Factors of 8989 are 1, 89, 101, 8989. There are 4 integers that are factors of 8989. The greatest factor of 8989 is 8989.
4. How to Find the LCM of 8985 and 8989?
Answer:
Least Common Multiple of 8985 and 8989 = 80766165
Step 1: Find the prime factorization of 8985
8985 = 3 x 5 x 599
Step 2: Find the prime factorization of 8989
8989 = 89 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80766165 = 3 x 5 x 89 x 101 x 599
Step 4: Therefore, the least common multiple of 8985 and 8989 is 80766165.