Least Common Multiple of 9006 and 9011
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 9011 the smallest integer that is 81153066 that is divisible by both numbers.
Least Common Multiple (LCM) of 9006 and 9011 is 81153066.
LCM(9006,9011) = 81153066
LCM of 9006 and 9011
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9006 and 9011 by Prime method
- Least Common Multiple of 9006 and 9011 with GCF Formula
LCM of 9006 and 9011 is 81153066
Least common multiple can be found by multiplying the highest exponent prime factors of 9006 and 9011. First we will calculate the prime factors of 9006 and 9011.
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 9011
| 9011 | 9011 |
| 1 |
Prime factors of 9011 are 9011. Prime factorization of 9011 in exponential form is:
9011 = 90111
Now multiplying the highest exponent prime factors to calculate the LCM of 9006 and 9011.
LCM(9006,9011) = 21×31×191×791×90111
LCM(9006,9011) = 81153066
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 9011
List of positive integer factors of 9011 that divides 9011 without a remainder.
1, 9011
Least Common Multiple of 9006 and 9011 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 9011, than apply into the LCM equation.
GCF(9006,9011) = 1
LCM(9006,9011) = ( 9006 × 9011) / 1
LCM(9006,9011) = 81153066 / 1
LCM(9006,9011) = 81153066
Properties of LCM 9006 and 9011
(i) The LCM of 9011 and 9006 is associative
LCM of 9006 and 9011 = LCM of 9011 and 9006
Related Least Common Multiples of 9006
Related Least Common Multiples of 9011
Frequently Asked Questions on LCM of 9006 and 9011
1. What is the LCM of 9006 and 9011?
Answer: LCM of 9006 and 9011 is 81153066.
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 9011?
Answer: Factors of 9011 are 1, 9011. There are 2 integers that are factors of 9011. The greatest factor of 9011 is 9011.
4. How to Find the LCM of 9006 and 9011?
Answer:
Least Common Multiple of 9006 and 9011 = 81153066
Step 1: Find the prime factorization of 9006
9006 = 2 x 3 x 19 x 79
Step 2: Find the prime factorization of 9011
9011 = 9011
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 81153066 = 2 x 3 x 19 x 79 x 9011
Step 4: Therefore, the least common multiple of 9006 and 9011 is 81153066.