Least Common Multiple of 321 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 321 and 323 the smallest integer that is 103683 that is divisible by both numbers.
Least Common Multiple (LCM) of 321 and 323 is 103683.
LCM(321,323) = 103683
LCM of 321 and 323
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 321 and 323 by Prime method
- Least Common Multiple of 321 and 323 with GCF Formula
LCM of 321 and 323 is 103683
Least common multiple can be found by multiplying the highest exponent prime factors of 321 and 323. First we will calculate the prime factors of 321 and 323.
Prime Factorization of 321
| 3 | 321 |
| 107 | 107 |
| 1 |
Prime factors of 321 are 3,107. Prime factorization of 321 in exponential form is:
321 = 31×1071
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 321 and 323.
LCM(321,323) = 31×171×191×1071
LCM(321,323) = 103683
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Least Common Multiple of 321 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 321 and 323, than apply into the LCM equation.
GCF(321,323) = 1
LCM(321,323) = ( 321 × 323) / 1
LCM(321,323) = 103683 / 1
LCM(321,323) = 103683
Properties of LCM 321 and 323
(i) The LCM of 323 and 321 is associative
LCM of 321 and 323 = LCM of 323 and 321
Related Least Common Multiples of 321
Related Least Common Multiples of 323
Frequently Asked Questions on LCM of 321 and 323
1. What is the LCM of 321 and 323?
Answer: LCM of 321 and 323 is 103683.
2. What are the Factors of 321?
Answer: Factors of 321 are 1, 3, 107, 321. There are 4 integers that are factors of 321. The greatest factor of 321 is 321.
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 321 and 323?
Answer:
Least Common Multiple of 321 and 323 = 103683
Step 1: Find the prime factorization of 321
321 = 3 x 107
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 = 103683 = 3 x 17 x 19 x 107
Step 4: Therefore, the least common multiple of 321 and 323 is 103683.
