Least Common Multiple of 319 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 319 and 323 the smallest integer that is 103037 that is divisible by both numbers.
Least Common Multiple (LCM) of 319 and 323 is 103037.
LCM(319,323) = 103037
LCM of 319 and 323
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 319 and 323 by Prime method
- Least Common Multiple of 319 and 323 with GCF Formula
LCM of 319 and 323 is 103037
Least common multiple can be found by multiplying the highest exponent prime factors of 319 and 323. First we will calculate the prime factors of 319 and 323.
Prime Factorization of 319
| 11 | 319 |
| 29 | 29 |
| 1 |
Prime factors of 319 are 11,29. Prime factorization of 319 in exponential form is:
319 = 111×291
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 319 and 323.
LCM(319,323) = 111×171×191×291
LCM(319,323) = 103037
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Least Common Multiple of 319 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 319 and 323, than apply into the LCM equation.
GCF(319,323) = 1
LCM(319,323) = ( 319 × 323) / 1
LCM(319,323) = 103037 / 1
LCM(319,323) = 103037
Properties of LCM 319 and 323
(i) The LCM of 323 and 319 is associative
LCM of 319 and 323 = LCM of 323 and 319
Related Least Common Multiples of 319
Related Least Common Multiples of 323
Frequently Asked Questions on LCM of 319 and 323
1. What is the LCM of 319 and 323?
Answer: LCM of 319 and 323 is 103037.
2. What are the Factors of 319?
Answer: Factors of 319 are 1, 11, 29, 319. There are 4 integers that are factors of 319. The greatest factor of 319 is 319.
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 319 and 323?
Answer:
Least Common Multiple of 319 and 323 = 103037
Step 1: Find the prime factorization of 319
319 = 11 x 29
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 = 103037 = 11 x 17 x 19 x 29
Step 4: Therefore, the least common multiple of 319 and 323 is 103037.
