Least Common Multiple of 9299 and 9306
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9299 and 9306 the smallest integer that is 86536494 that is divisible by both numbers.
Least Common Multiple (LCM) of 9299 and 9306 is 86536494.
LCM(9299,9306) = 86536494
LCM of 9299 and 9306
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9299 and 9306 by Prime method
- Least Common Multiple of 9299 and 9306 with GCF Formula
LCM of 9299 and 9306 is 86536494
Least common multiple can be found by multiplying the highest exponent prime factors of 9299 and 9306. First we will calculate the prime factors of 9299 and 9306.
Prime Factorization of 9299
| 17 | 9299 |
| 547 | 547 |
| 1 |
Prime factors of 9299 are 17,547. Prime factorization of 9299 in exponential form is:
9299 = 171×5471
Prime Factorization of 9306
| 2 | 9306 |
| 3 | 4653 |
| 3 | 1551 |
| 11 | 517 |
| 47 | 47 |
| 1 |
Prime factors of 9306 are 2, 3, 11,47. Prime factorization of 9306 in exponential form is:
9306 = 21×32×111×471
Now multiplying the highest exponent prime factors to calculate the LCM of 9299 and 9306.
LCM(9299,9306) = 21×32×111×171×471×5471
LCM(9299,9306) = 86536494
Factors of 9299
List of positive integer factors of 9299 that divides 9299 without a remainder.
1, 17, 547, 9299
Factors of 9306
List of positive integer factors of 9306 that divides 9306 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 47, 66, 94, 99, 141, 198, 282, 423, 517, 846, 1034, 1551, 3102, 4653, 9306
Least Common Multiple of 9299 and 9306 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9299 and 9306, than apply into the LCM equation.
GCF(9299,9306) = 1
LCM(9299,9306) = ( 9299 × 9306) / 1
LCM(9299,9306) = 86536494 / 1
LCM(9299,9306) = 86536494
Properties of LCM 9299 and 9306
(i) The LCM of 9306 and 9299 is associative
LCM of 9299 and 9306 = LCM of 9306 and 9299
Related Least Common Multiples of 9299
Related Least Common Multiples of 9306
Frequently Asked Questions on LCM of 9299 and 9306
1. What is the LCM of 9299 and 9306?
Answer: LCM of 9299 and 9306 is 86536494.
2. What are the Factors of 9299?
Answer: Factors of 9299 are 1, 17, 547, 9299. There are 4 integers that are factors of 9299. The greatest factor of 9299 is 9299.
3. What are the Factors of 9306?
Answer: Factors of 9306 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 47, 66, 94, 99, 141, 198, 282, 423, 517, 846, 1034, 1551, 3102, 4653, 9306. There are 24 integers that are factors of 9306. The greatest factor of 9306 is 9306.
4. How to Find the LCM of 9299 and 9306?
Answer:
Least Common Multiple of 9299 and 9306 = 86536494
Step 1: Find the prime factorization of 9299
9299 = 17 x 547
Step 2: Find the prime factorization of 9306
9306 = 2 x 3 x 3 x 11 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 86536494 = 2 x 3 x 3 x 11 x 17 x 47 x 547
Step 4: Therefore, the least common multiple of 9299 and 9306 is 86536494.