Least Common Multiple of 321 and 326
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 326 the smallest integer that is 104646 that is divisible by both numbers.
Least Common Multiple (LCM) of 321 and 326 is 104646.
LCM(321,326) = 104646
LCM of 321 and 326
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 321 and 326 by Prime method
- Least Common Multiple of 321 and 326 with GCF Formula
LCM of 321 and 326 is 104646
Least common multiple can be found by multiplying the highest exponent prime factors of 321 and 326. First we will calculate the prime factors of 321 and 326.
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 326
| 2 | 326 |
| 163 | 163 |
| 1 |
Prime factors of 326 are 2,163. Prime factorization of 326 in exponential form is:
326 = 21×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 321 and 326.
LCM(321,326) = 21×31×1071×1631
LCM(321,326) = 104646
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Least Common Multiple of 321 and 326 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 326, than apply into the LCM equation.
GCF(321,326) = 1
LCM(321,326) = ( 321 × 326) / 1
LCM(321,326) = 104646 / 1
LCM(321,326) = 104646
Properties of LCM 321 and 326
(i) The LCM of 326 and 321 is associative
LCM of 321 and 326 = LCM of 326 and 321
Related Least Common Multiples of 321
Related Least Common Multiples of 326
Frequently Asked Questions on LCM of 321 and 326
1. What is the LCM of 321 and 326?
Answer: LCM of 321 and 326 is 104646.
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 326?
Answer: Factors of 326 are 1, 2, 163, 326. There are 4 integers that are factors of 326. The greatest factor of 326 is 326.
4. How to Find the LCM of 321 and 326?
Answer:
Least Common Multiple of 321 and 326 = 104646
Step 1: Find the prime factorization of 321
321 = 3 x 107
Step 2: Find the prime factorization of 326
326 = 2 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104646 = 2 x 3 x 107 x 163
Step 4: Therefore, the least common multiple of 321 and 326 is 104646.
