Least Common Multiple of 318 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 318 and 323 the smallest integer that is 102714 that is divisible by both numbers.
Least Common Multiple (LCM) of 318 and 323 is 102714.
LCM(318,323) = 102714
LCM of 318 and 323
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 318 and 323 by Prime method
- Least Common Multiple of 318 and 323 with GCF Formula
LCM of 318 and 323 is 102714
Least common multiple can be found by multiplying the highest exponent prime factors of 318 and 323. First we will calculate the prime factors of 318 and 323.
Prime Factorization of 318
| 2 | 318 |
| 3 | 159 |
| 53 | 53 |
| 1 |
Prime factors of 318 are 2, 3,53. Prime factorization of 318 in exponential form is:
318 = 21×31×531
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 318 and 323.
LCM(318,323) = 21×31×171×191×531
LCM(318,323) = 102714
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Least Common Multiple of 318 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 318 and 323, than apply into the LCM equation.
GCF(318,323) = 1
LCM(318,323) = ( 318 × 323) / 1
LCM(318,323) = 102714 / 1
LCM(318,323) = 102714
Properties of LCM 318 and 323
(i) The LCM of 323 and 318 is associative
LCM of 318 and 323 = LCM of 323 and 318
Related Least Common Multiples of 318
Related Least Common Multiples of 323
Frequently Asked Questions on LCM of 318 and 323
1. What is the LCM of 318 and 323?
Answer: LCM of 318 and 323 is 102714.
2. What are the Factors of 318?
Answer: Factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318. There are 8 integers that are factors of 318. The greatest factor of 318 is 318.
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 318 and 323?
Answer:
Least Common Multiple of 318 and 323 = 102714
Step 1: Find the prime factorization of 318
318 = 2 x 3 x 53
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 = 102714 = 2 x 3 x 17 x 19 x 53
Step 4: Therefore, the least common multiple of 318 and 323 is 102714.