Least Common Multiple of 9086 and 9093
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9086 and 9093 the smallest integer that is 11802714 that is divisible by both numbers.
Least Common Multiple (LCM) of 9086 and 9093 is 11802714.
LCM(9086,9093) = 11802714
LCM of 9086 and 9093
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9086 and 9093 by Prime method
- Least Common Multiple of 9086 and 9093 with GCF Formula
LCM of 9086 and 9093 is 11802714
Least common multiple can be found by multiplying the highest exponent prime factors of 9086 and 9093. First we will calculate the prime factors of 9086 and 9093.
Prime Factorization of 9086
| 2 | 9086 |
| 7 | 4543 |
| 11 | 649 |
| 59 | 59 |
| 1 |
Prime factors of 9086 are 2, 7, 11,59. Prime factorization of 9086 in exponential form is:
9086 = 21×71×111×591
Prime Factorization of 9093
| 3 | 9093 |
| 7 | 3031 |
| 433 | 433 |
| 1 |
Prime factors of 9093 are 3, 7,433. Prime factorization of 9093 in exponential form is:
9093 = 31×71×4331
Now multiplying the highest exponent prime factors to calculate the LCM of 9086 and 9093.
LCM(9086,9093) = 21×31×71×111×591×4331
LCM(9086,9093) = 11802714
Factors of 9086
List of positive integer factors of 9086 that divides 9086 without a remainder.
1, 2, 7, 11, 14, 22, 59, 77, 118, 154, 413, 649, 826, 1298, 4543, 9086
Factors of 9093
List of positive integer factors of 9093 that divides 9093 without a remainder.
1, 3, 7, 21, 433, 1299, 3031, 9093
Least Common Multiple of 9086 and 9093 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9086 and 9093, than apply into the LCM equation.
GCF(9086,9093) = 7
LCM(9086,9093) = ( 9086 × 9093) / 7
LCM(9086,9093) = 82618998 / 7
LCM(9086,9093) = 11802714
Properties of LCM 9086 and 9093
(i) The LCM of 9093 and 9086 is associative
LCM of 9086 and 9093 = LCM of 9093 and 9086
Related Least Common Multiples of 9086
Related Least Common Multiples of 9093
Frequently Asked Questions on LCM of 9086 and 9093
1. What is the LCM of 9086 and 9093?
Answer: LCM of 9086 and 9093 is 11802714.
2. What are the Factors of 9086?
Answer: Factors of 9086 are 1, 2, 7, 11, 14, 22, 59, 77, 118, 154, 413, 649, 826, 1298, 4543, 9086. There are 16 integers that are factors of 9086. The greatest factor of 9086 is 9086.
3. What are the Factors of 9093?
Answer: Factors of 9093 are 1, 3, 7, 21, 433, 1299, 3031, 9093. There are 8 integers that are factors of 9093. The greatest factor of 9093 is 9093.
4. How to Find the LCM of 9086 and 9093?
Answer:
Least Common Multiple of 9086 and 9093 = 11802714
Step 1: Find the prime factorization of 9086
9086 = 2 x 7 x 11 x 59
Step 2: Find the prime factorization of 9093
9093 = 3 x 7 x 433
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11802714 = 2 x 3 x 7 x 11 x 59 x 433
Step 4: Therefore, the least common multiple of 9086 and 9093 is 11802714.