Least Common Multiple of 9306 and 9311
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9306 and 9311 the smallest integer that is 86648166 that is divisible by both numbers.
Least Common Multiple (LCM) of 9306 and 9311 is 86648166.
LCM(9306,9311) = 86648166
LCM of 9306 and 9311
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9306 and 9311 by Prime method
- Least Common Multiple of 9306 and 9311 with GCF Formula
LCM of 9306 and 9311 is 86648166
Least common multiple can be found by multiplying the highest exponent prime factors of 9306 and 9311. First we will calculate the prime factors of 9306 and 9311.
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
Prime Factorization of 9311
| 9311 | 9311 |
| 1 |
Prime factors of 9311 are 9311. Prime factorization of 9311 in exponential form is:
9311 = 93111
Now multiplying the highest exponent prime factors to calculate the LCM of 9306 and 9311.
LCM(9306,9311) = 21×32×111×471×93111
LCM(9306,9311) = 86648166
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
Factors of 9311
List of positive integer factors of 9311 that divides 9311 without a remainder.
1, 9311
Least Common Multiple of 9306 and 9311 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9306 and 9311, than apply into the LCM equation.
GCF(9306,9311) = 1
LCM(9306,9311) = ( 9306 × 9311) / 1
LCM(9306,9311) = 86648166 / 1
LCM(9306,9311) = 86648166
Properties of LCM 9306 and 9311
(i) The LCM of 9311 and 9306 is associative
LCM of 9306 and 9311 = LCM of 9311 and 9306
Related Least Common Multiples of 9306
Related Least Common Multiples of 9311
Frequently Asked Questions on LCM of 9306 and 9311
1. What is the LCM of 9306 and 9311?
Answer: LCM of 9306 and 9311 is 86648166.
2. 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.
3. What are the Factors of 9311?
Answer: Factors of 9311 are 1, 9311. There are 2 integers that are factors of 9311. The greatest factor of 9311 is 9311.
4. How to Find the LCM of 9306 and 9311?
Answer:
Least Common Multiple of 9306 and 9311 = 86648166
Step 1: Find the prime factorization of 9306
9306 = 2 x 3 x 3 x 11 x 47
Step 2: Find the prime factorization of 9311
9311 = 9311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 86648166 = 2 x 3 x 3 x 11 x 47 x 9311
Step 4: Therefore, the least common multiple of 9306 and 9311 is 86648166.