Least Common Multiple of 9666 and 9673
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9666 and 9673 the smallest integer that is 93499218 that is divisible by both numbers.
Least Common Multiple (LCM) of 9666 and 9673 is 93499218.
LCM(9666,9673) = 93499218
LCM of 9666 and 9673
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9666 and 9673 by Prime method
- Least Common Multiple of 9666 and 9673 with GCF Formula
LCM of 9666 and 9673 is 93499218
Least common multiple can be found by multiplying the highest exponent prime factors of 9666 and 9673. First we will calculate the prime factors of 9666 and 9673.
Prime Factorization of 9666
| 2 | 9666 |
| 3 | 4833 |
| 3 | 1611 |
| 3 | 537 |
| 179 | 179 |
| 1 |
Prime factors of 9666 are 2, 3,179. Prime factorization of 9666 in exponential form is:
9666 = 21×33×1791
Prime Factorization of 9673
| 17 | 9673 |
| 569 | 569 |
| 1 |
Prime factors of 9673 are 17,569. Prime factorization of 9673 in exponential form is:
9673 = 171×5691
Now multiplying the highest exponent prime factors to calculate the LCM of 9666 and 9673.
LCM(9666,9673) = 21×33×171×1791×5691
LCM(9666,9673) = 93499218
Factors of 9666
List of positive integer factors of 9666 that divides 9666 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 179, 358, 537, 1074, 1611, 3222, 4833, 9666
Factors of 9673
List of positive integer factors of 9673 that divides 9673 without a remainder.
1, 17, 569, 9673
Least Common Multiple of 9666 and 9673 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9666 and 9673, than apply into the LCM equation.
GCF(9666,9673) = 1
LCM(9666,9673) = ( 9666 × 9673) / 1
LCM(9666,9673) = 93499218 / 1
LCM(9666,9673) = 93499218
Properties of LCM 9666 and 9673
(i) The LCM of 9673 and 9666 is associative
LCM of 9666 and 9673 = LCM of 9673 and 9666
Related Least Common Multiples of 9666
Related Least Common Multiples of 9673
Frequently Asked Questions on LCM of 9666 and 9673
1. What is the LCM of 9666 and 9673?
Answer: LCM of 9666 and 9673 is 93499218.
2. What are the Factors of 9666?
Answer: Factors of 9666 are 1, 2, 3, 6, 9, 18, 27, 54, 179, 358, 537, 1074, 1611, 3222, 4833, 9666. There are 16 integers that are factors of 9666. The greatest factor of 9666 is 9666.
3. What are the Factors of 9673?
Answer: Factors of 9673 are 1, 17, 569, 9673. There are 4 integers that are factors of 9673. The greatest factor of 9673 is 9673.
4. How to Find the LCM of 9666 and 9673?
Answer:
Least Common Multiple of 9666 and 9673 = 93499218
Step 1: Find the prime factorization of 9666
9666 = 2 x 3 x 3 x 3 x 179
Step 2: Find the prime factorization of 9673
9673 = 17 x 569
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93499218 = 2 x 3 x 3 x 3 x 17 x 179 x 569
Step 4: Therefore, the least common multiple of 9666 and 9673 is 93499218.