Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9315 and 9321 the smallest integer that is 28941705 that is divisible by both numbers.
Least Common Multiple (LCM) of 9315 and 9321 is 28941705.
LCM(9315,9321) = 28941705
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9315 and 9321. First we will calculate the prime factors of 9315 and 9321.
Prime Factorization of 9315
3 | 9315 |
3 | 3105 |
3 | 1035 |
3 | 345 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 9315 are 3, 5,23. Prime factorization of 9315 in exponential form is:
9315 = 34×51×231
Prime Factorization of 9321
3 | 9321 |
13 | 3107 |
239 | 239 |
1 |
Prime factors of 9321 are 3, 13,239. Prime factorization of 9321 in exponential form is:
9321 = 31×131×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 9315 and 9321.
LCM(9315,9321) = 34×51×131×231×2391
LCM(9315,9321) = 28941705
Factors of 9315
List of positive integer factors of 9315 that divides 9315 without a remainder.
1, 3, 5, 9, 15, 23, 27, 45, 69, 81, 115, 135, 207, 345, 405, 621, 1035, 1863, 3105, 9315
Factors of 9321
List of positive integer factors of 9321 that divides 9321 without a remainder.
1, 3, 13, 39, 239, 717, 3107, 9321
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9315 and 9321, than apply into the LCM equation.
GCF(9315,9321) = 3
LCM(9315,9321) = ( 9315 × 9321) / 3
LCM(9315,9321) = 86825115 / 3
LCM(9315,9321) = 28941705
(i) The LCM of 9321 and 9315 is associative
LCM of 9315 and 9321 = LCM of 9321 and 9315
1. What is the LCM of 9315 and 9321?
Answer: LCM of 9315 and 9321 is 28941705.
2. What are the Factors of 9315?
Answer: Factors of 9315 are 1, 3, 5, 9, 15, 23, 27, 45, 69, 81, 115, 135, 207, 345, 405, 621, 1035, 1863, 3105, 9315. There are 20 integers that are factors of 9315. The greatest factor of 9315 is 9315.
3. What are the Factors of 9321?
Answer: Factors of 9321 are 1, 3, 13, 39, 239, 717, 3107, 9321. There are 8 integers that are factors of 9321. The greatest factor of 9321 is 9321.
4. How to Find the LCM of 9315 and 9321?
Answer:
Least Common Multiple of 9315 and 9321 = 28941705
Step 1: Find the prime factorization of 9315
9315 = 3 x 3 x 3 x 3 x 5 x 23
Step 2: Find the prime factorization of 9321
9321 = 3 x 13 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28941705 = 3 x 3 x 3 x 3 x 5 x 13 x 23 x 239
Step 4: Therefore, the least common multiple of 9315 and 9321 is 28941705.