Least Common Multiple of 315 and 323
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 315 and 323 the smallest integer that is 101745 that is divisible by both numbers.
Least Common Multiple (LCM) of 315 and 323 is 101745.
LCM(315,323) = 101745
LCM of 315 and 323
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 315 and 323 by Prime method
- Least Common Multiple of 315 and 323 with GCF Formula
LCM of 315 and 323 is 101745
Least common multiple can be found by multiplying the highest exponent prime factors of 315 and 323. First we will calculate the prime factors of 315 and 323.
Prime Factorization of 315
| 3 | 315 |
| 3 | 105 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 315 are 3, 5,7. Prime factorization of 315 in exponential form is:
315 = 32×51×71
Prime Factorization of 323
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 323 are 17,19. Prime factorization of 323 in exponential form is:
323 = 171×191
Now multiplying the highest exponent prime factors to calculate the LCM of 315 and 323.
LCM(315,323) = 32×51×71×171×191
LCM(315,323) = 101745
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Least Common Multiple of 315 and 323 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 315 and 323, than apply into the LCM equation.
GCF(315,323) = 1
LCM(315,323) = ( 315 × 323) / 1
LCM(315,323) = 101745 / 1
LCM(315,323) = 101745
Properties of LCM 315 and 323
(i) The LCM of 323 and 315 is associative
LCM of 315 and 323 = LCM of 323 and 315
Related Least Common Multiples of 315
Related Least Common Multiples of 323
Frequently Asked Questions on LCM of 315 and 323
1. What is the LCM of 315 and 323?
Answer: LCM of 315 and 323 is 101745.
2. What are the Factors of 315?
Answer: Factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315. There are 12 integers that are factors of 315. The greatest factor of 315 is 315.
3. What are the Factors of 323?
Answer: Factors of 323 are 1, 17, 19, 323. There are 4 integers that are factors of 323. The greatest factor of 323 is 323.
4. How to Find the LCM of 315 and 323?
Answer:
Least Common Multiple of 315 and 323 = 101745
Step 1: Find the prime factorization of 315
315 = 3 x 3 x 5 x 7
Step 2: Find the prime factorization of 323
323 = 17 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 101745 = 3 x 3 x 5 x 7 x 17 x 19
Step 4: Therefore, the least common multiple of 315 and 323 is 101745.
