Least Common Multiple of 9018 and 9023
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9018 and 9023 the smallest integer that is 81369414 that is divisible by both numbers.
Least Common Multiple (LCM) of 9018 and 9023 is 81369414.
LCM(9018,9023) = 81369414
LCM of 9018 and 9023
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9018 and 9023 by Prime method
- Least Common Multiple of 9018 and 9023 with GCF Formula
LCM of 9018 and 9023 is 81369414
Least common multiple can be found by multiplying the highest exponent prime factors of 9018 and 9023. First we will calculate the prime factors of 9018 and 9023.
Prime Factorization of 9018
| 2 | 9018 |
| 3 | 4509 |
| 3 | 1503 |
| 3 | 501 |
| 167 | 167 |
| 1 |
Prime factors of 9018 are 2, 3,167. Prime factorization of 9018 in exponential form is:
9018 = 21×33×1671
Prime Factorization of 9023
| 7 | 9023 |
| 1289 | 1289 |
| 1 |
Prime factors of 9023 are 7,1289. Prime factorization of 9023 in exponential form is:
9023 = 71×12891
Now multiplying the highest exponent prime factors to calculate the LCM of 9018 and 9023.
LCM(9018,9023) = 21×33×71×1671×12891
LCM(9018,9023) = 81369414
Factors of 9018
List of positive integer factors of 9018 that divides 9018 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 167, 334, 501, 1002, 1503, 3006, 4509, 9018
Factors of 9023
List of positive integer factors of 9023 that divides 9023 without a remainder.
1, 7, 1289, 9023
Least Common Multiple of 9018 and 9023 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9018 and 9023, than apply into the LCM equation.
GCF(9018,9023) = 1
LCM(9018,9023) = ( 9018 × 9023) / 1
LCM(9018,9023) = 81369414 / 1
LCM(9018,9023) = 81369414
Properties of LCM 9018 and 9023
(i) The LCM of 9023 and 9018 is associative
LCM of 9018 and 9023 = LCM of 9023 and 9018
Related Least Common Multiples of 9018
Related Least Common Multiples of 9023
Frequently Asked Questions on LCM of 9018 and 9023
1. What is the LCM of 9018 and 9023?
Answer: LCM of 9018 and 9023 is 81369414.
2. What are the Factors of 9018?
Answer: Factors of 9018 are 1, 2, 3, 6, 9, 18, 27, 54, 167, 334, 501, 1002, 1503, 3006, 4509, 9018. There are 16 integers that are factors of 9018. The greatest factor of 9018 is 9018.
3. What are the Factors of 9023?
Answer: Factors of 9023 are 1, 7, 1289, 9023. There are 4 integers that are factors of 9023. The greatest factor of 9023 is 9023.
4. How to Find the LCM of 9018 and 9023?
Answer:
Least Common Multiple of 9018 and 9023 = 81369414
Step 1: Find the prime factorization of 9018
9018 = 2 x 3 x 3 x 3 x 167
Step 2: Find the prime factorization of 9023
9023 = 7 x 1289
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 81369414 = 2 x 3 x 3 x 3 x 7 x 167 x 1289
Step 4: Therefore, the least common multiple of 9018 and 9023 is 81369414.