Least Common Multiple of 9310 and 9315
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9310 and 9315 the smallest integer that is 17344530 that is divisible by both numbers.
Least Common Multiple (LCM) of 9310 and 9315 is 17344530.
LCM(9310,9315) = 17344530
LCM of 9310 and 9315
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9310 and 9315 by Prime method
- Least Common Multiple of 9310 and 9315 with GCF Formula
LCM of 9310 and 9315 is 17344530
Least common multiple can be found by multiplying the highest exponent prime factors of 9310 and 9315. First we will calculate the prime factors of 9310 and 9315.
Prime Factorization of 9310
| 2 | 9310 |
| 5 | 4655 |
| 7 | 931 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 9310 are 2, 5, 7,19. Prime factorization of 9310 in exponential form is:
9310 = 21×51×72×191
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9310 and 9315.
LCM(9310,9315) = 21×34×51×72×191×231
LCM(9310,9315) = 17344530
Factors of 9310
List of positive integer factors of 9310 that divides 9310 without a remainder.
1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 490, 665, 931, 1330, 1862, 4655, 9310
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
Least Common Multiple of 9310 and 9315 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9310 and 9315, than apply into the LCM equation.
GCF(9310,9315) = 5
LCM(9310,9315) = ( 9310 × 9315) / 5
LCM(9310,9315) = 86722650 / 5
LCM(9310,9315) = 17344530
Properties of LCM 9310 and 9315
(i) The LCM of 9315 and 9310 is associative
LCM of 9310 and 9315 = LCM of 9315 and 9310
Related Least Common Multiples of 9310
Related Least Common Multiples of 9315
Frequently Asked Questions on LCM of 9310 and 9315
1. What is the LCM of 9310 and 9315?
Answer: LCM of 9310 and 9315 is 17344530.
2. What are the Factors of 9310?
Answer: Factors of 9310 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 490, 665, 931, 1330, 1862, 4655, 9310. There are 24 integers that are factors of 9310. The greatest factor of 9310 is 9310.
3. 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.
4. How to Find the LCM of 9310 and 9315?
Answer:
Least Common Multiple of 9310 and 9315 = 17344530
Step 1: Find the prime factorization of 9310
9310 = 2 x 5 x 7 x 7 x 19
Step 2: Find the prime factorization of 9315
9315 = 3 x 3 x 3 x 3 x 5 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17344530 = 2 x 3 x 3 x 3 x 3 x 5 x 7 x 7 x 19 x 23
Step 4: Therefore, the least common multiple of 9310 and 9315 is 17344530.