Least Common Multiple of 8999 and 9006
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8999 and 9006 the smallest integer that is 81044994 that is divisible by both numbers.
Least Common Multiple (LCM) of 8999 and 9006 is 81044994.
LCM(8999,9006) = 81044994
LCM of 8999 and 9006
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8999 and 9006 by Prime method
- Least Common Multiple of 8999 and 9006 with GCF Formula
LCM of 8999 and 9006 is 81044994
Least common multiple can be found by multiplying the highest exponent prime factors of 8999 and 9006. First we will calculate the prime factors of 8999 and 9006.
Prime Factorization of 8999
| 8999 | 8999 |
| 1 |
Prime factors of 8999 are 8999. Prime factorization of 8999 in exponential form is:
8999 = 89991
Prime Factorization of 9006
| 2 | 9006 |
| 3 | 4503 |
| 19 | 1501 |
| 79 | 79 |
| 1 |
Prime factors of 9006 are 2, 3, 19,79. Prime factorization of 9006 in exponential form is:
9006 = 21×31×191×791
Now multiplying the highest exponent prime factors to calculate the LCM of 8999 and 9006.
LCM(8999,9006) = 21×31×191×791×89991
LCM(8999,9006) = 81044994
Factors of 8999
List of positive integer factors of 8999 that divides 8999 without a remainder.
1, 8999
Factors of 9006
List of positive integer factors of 9006 that divides 9006 without a remainder.
1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006
Least Common Multiple of 8999 and 9006 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8999 and 9006, than apply into the LCM equation.
GCF(8999,9006) = 1
LCM(8999,9006) = ( 8999 × 9006) / 1
LCM(8999,9006) = 81044994 / 1
LCM(8999,9006) = 81044994
Properties of LCM 8999 and 9006
(i) The LCM of 9006 and 8999 is associative
LCM of 8999 and 9006 = LCM of 9006 and 8999
Related Least Common Multiples of 8999
Related Least Common Multiples of 9006
Frequently Asked Questions on LCM of 8999 and 9006
1. What is the LCM of 8999 and 9006?
Answer: LCM of 8999 and 9006 is 81044994.
2. What are the Factors of 8999?
Answer: Factors of 8999 are 1, 8999. There are 2 integers that are factors of 8999. The greatest factor of 8999 is 8999.
3. What are the Factors of 9006?
Answer: Factors of 9006 are 1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006. There are 16 integers that are factors of 9006. The greatest factor of 9006 is 9006.
4. How to Find the LCM of 8999 and 9006?
Answer:
Least Common Multiple of 8999 and 9006 = 81044994
Step 1: Find the prime factorization of 8999
8999 = 8999
Step 2: Find the prime factorization of 9006
9006 = 2 x 3 x 19 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 81044994 = 2 x 3 x 19 x 79 x 8999
Step 4: Therefore, the least common multiple of 8999 and 9006 is 81044994.