Least Common Multiple of 9006 and 9013
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9006 and 9013 the smallest integer that is 81171078 that is divisible by both numbers.
Least Common Multiple (LCM) of 9006 and 9013 is 81171078.
LCM(9006,9013) = 81171078
LCM of 9006 and 9013
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9006 and 9013 by Prime method
- Least Common Multiple of 9006 and 9013 with GCF Formula
LCM of 9006 and 9013 is 81171078
Least common multiple can be found by multiplying the highest exponent prime factors of 9006 and 9013. First we will calculate the prime factors of 9006 and 9013.
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
Prime Factorization of 9013
| 9013 | 9013 |
| 1 |
Prime factors of 9013 are 9013. Prime factorization of 9013 in exponential form is:
9013 = 90131
Now multiplying the highest exponent prime factors to calculate the LCM of 9006 and 9013.
LCM(9006,9013) = 21×31×191×791×90131
LCM(9006,9013) = 81171078
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
Factors of 9013
List of positive integer factors of 9013 that divides 9013 without a remainder.
1, 9013
Least Common Multiple of 9006 and 9013 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9006 and 9013, than apply into the LCM equation.
GCF(9006,9013) = 1
LCM(9006,9013) = ( 9006 × 9013) / 1
LCM(9006,9013) = 81171078 / 1
LCM(9006,9013) = 81171078
Properties of LCM 9006 and 9013
(i) The LCM of 9013 and 9006 is associative
LCM of 9006 and 9013 = LCM of 9013 and 9006
Related Least Common Multiples of 9006
Related Least Common Multiples of 9013
Frequently Asked Questions on LCM of 9006 and 9013
1. What is the LCM of 9006 and 9013?
Answer: LCM of 9006 and 9013 is 81171078.
2. 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.
3. What are the Factors of 9013?
Answer: Factors of 9013 are 1, 9013. There are 2 integers that are factors of 9013. The greatest factor of 9013 is 9013.
4. How to Find the LCM of 9006 and 9013?
Answer:
Least Common Multiple of 9006 and 9013 = 81171078
Step 1: Find the prime factorization of 9006
9006 = 2 x 3 x 19 x 79
Step 2: Find the prime factorization of 9013
9013 = 9013
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 81171078 = 2 x 3 x 19 x 79 x 9013
Step 4: Therefore, the least common multiple of 9006 and 9013 is 81171078.