Least Common Multiple of 8985 and 8990
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 8990 the smallest integer that is 16155030 that is divisible by both numbers.
Least Common Multiple (LCM) of 8985 and 8990 is 16155030.
LCM(8985,8990) = 16155030
LCM of 8985 and 8990
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8985 and 8990 by Prime method
- Least Common Multiple of 8985 and 8990 with GCF Formula
LCM of 8985 and 8990 is 16155030
Least common multiple can be found by multiplying the highest exponent prime factors of 8985 and 8990. First we will calculate the prime factors of 8985 and 8990.
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 8990
| 2 | 8990 |
| 5 | 4495 |
| 29 | 899 |
| 31 | 31 |
| 1 |
Prime factors of 8990 are 2, 5, 29,31. Prime factorization of 8990 in exponential form is:
8990 = 21×51×291×311
Now multiplying the highest exponent prime factors to calculate the LCM of 8985 and 8990.
LCM(8985,8990) = 21×31×51×291×311×5991
LCM(8985,8990) = 16155030
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 8990
List of positive integer factors of 8990 that divides 8990 without a remainder.
1, 2, 5, 10, 29, 31, 58, 62, 145, 155, 290, 310, 899, 1798, 4495, 8990
Least Common Multiple of 8985 and 8990 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 8990, than apply into the LCM equation.
GCF(8985,8990) = 5
LCM(8985,8990) = ( 8985 × 8990) / 5
LCM(8985,8990) = 80775150 / 5
LCM(8985,8990) = 16155030
Properties of LCM 8985 and 8990
(i) The LCM of 8990 and 8985 is associative
LCM of 8985 and 8990 = LCM of 8990 and 8985
Related Least Common Multiples of 8985
Related Least Common Multiples of 8990
Frequently Asked Questions on LCM of 8985 and 8990
1. What is the LCM of 8985 and 8990?
Answer: LCM of 8985 and 8990 is 16155030.
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 8990?
Answer: Factors of 8990 are 1, 2, 5, 10, 29, 31, 58, 62, 145, 155, 290, 310, 899, 1798, 4495, 8990. There are 16 integers that are factors of 8990. The greatest factor of 8990 is 8990.
4. How to Find the LCM of 8985 and 8990?
Answer:
Least Common Multiple of 8985 and 8990 = 16155030
Step 1: Find the prime factorization of 8985
8985 = 3 x 5 x 599
Step 2: Find the prime factorization of 8990
8990 = 2 x 5 x 29 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16155030 = 2 x 3 x 5 x 29 x 31 x 599
Step 4: Therefore, the least common multiple of 8985 and 8990 is 16155030.