Least Common Multiple of 8995 and 9003
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8995 and 9003 the smallest integer that is 80981985 that is divisible by both numbers.
Least Common Multiple (LCM) of 8995 and 9003 is 80981985.
LCM(8995,9003) = 80981985
LCM of 8995 and 9003
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8995 and 9003 by Prime method
- Least Common Multiple of 8995 and 9003 with GCF Formula
LCM of 8995 and 9003 is 80981985
Least common multiple can be found by multiplying the highest exponent prime factors of 8995 and 9003. First we will calculate the prime factors of 8995 and 9003.
Prime Factorization of 8995
| 5 | 8995 |
| 7 | 1799 |
| 257 | 257 |
| 1 |
Prime factors of 8995 are 5, 7,257. Prime factorization of 8995 in exponential form is:
8995 = 51×71×2571
Prime Factorization of 9003
| 3 | 9003 |
| 3001 | 3001 |
| 1 |
Prime factors of 9003 are 3,3001. Prime factorization of 9003 in exponential form is:
9003 = 31×30011
Now multiplying the highest exponent prime factors to calculate the LCM of 8995 and 9003.
LCM(8995,9003) = 31×51×71×2571×30011
LCM(8995,9003) = 80981985
Factors of 8995
List of positive integer factors of 8995 that divides 8995 without a remainder.
1, 5, 7, 35, 257, 1285, 1799, 8995
Factors of 9003
List of positive integer factors of 9003 that divides 9003 without a remainder.
1, 3, 3001, 9003
Least Common Multiple of 8995 and 9003 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8995 and 9003, than apply into the LCM equation.
GCF(8995,9003) = 1
LCM(8995,9003) = ( 8995 × 9003) / 1
LCM(8995,9003) = 80981985 / 1
LCM(8995,9003) = 80981985
Properties of LCM 8995 and 9003
(i) The LCM of 9003 and 8995 is associative
LCM of 8995 and 9003 = LCM of 9003 and 8995
Related Least Common Multiples of 8995
Related Least Common Multiples of 9003
Frequently Asked Questions on LCM of 8995 and 9003
1. What is the LCM of 8995 and 9003?
Answer: LCM of 8995 and 9003 is 80981985.
2. What are the Factors of 8995?
Answer: Factors of 8995 are 1, 5, 7, 35, 257, 1285, 1799, 8995. There are 8 integers that are factors of 8995. The greatest factor of 8995 is 8995.
3. What are the Factors of 9003?
Answer: Factors of 9003 are 1, 3, 3001, 9003. There are 4 integers that are factors of 9003. The greatest factor of 9003 is 9003.
4. How to Find the LCM of 8995 and 9003?
Answer:
Least Common Multiple of 8995 and 9003 = 80981985
Step 1: Find the prime factorization of 8995
8995 = 5 x 7 x 257
Step 2: Find the prime factorization of 9003
9003 = 3 x 3001
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80981985 = 3 x 5 x 7 x 257 x 3001
Step 4: Therefore, the least common multiple of 8995 and 9003 is 80981985.