Least Common Multiple of 8321 and 8326
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8321 and 8326 the smallest integer that is 69280646 that is divisible by both numbers.
Least Common Multiple (LCM) of 8321 and 8326 is 69280646.
LCM(8321,8326) = 69280646
LCM of 8321 and 8326
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8321 and 8326 by Prime method
- Least Common Multiple of 8321 and 8326 with GCF Formula
LCM of 8321 and 8326 is 69280646
Least common multiple can be found by multiplying the highest exponent prime factors of 8321 and 8326. First we will calculate the prime factors of 8321 and 8326.
Prime Factorization of 8321
| 53 | 8321 |
| 157 | 157 |
| 1 |
Prime factors of 8321 are 53,157. Prime factorization of 8321 in exponential form is:
8321 = 531×1571
Prime Factorization of 8326
| 2 | 8326 |
| 23 | 4163 |
| 181 | 181 |
| 1 |
Prime factors of 8326 are 2, 23,181. Prime factorization of 8326 in exponential form is:
8326 = 21×231×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 8321 and 8326.
LCM(8321,8326) = 21×231×531×1571×1811
LCM(8321,8326) = 69280646
Factors of 8321
List of positive integer factors of 8321 that divides 8321 without a remainder.
1, 53, 157, 8321
Factors of 8326
List of positive integer factors of 8326 that divides 8326 without a remainder.
1, 2, 23, 46, 181, 362, 4163, 8326
Least Common Multiple of 8321 and 8326 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8321 and 8326, than apply into the LCM equation.
GCF(8321,8326) = 1
LCM(8321,8326) = ( 8321 × 8326) / 1
LCM(8321,8326) = 69280646 / 1
LCM(8321,8326) = 69280646
Properties of LCM 8321 and 8326
(i) The LCM of 8326 and 8321 is associative
LCM of 8321 and 8326 = LCM of 8326 and 8321
Related Least Common Multiples of 8321
Related Least Common Multiples of 8326
Frequently Asked Questions on LCM of 8321 and 8326
1. What is the LCM of 8321 and 8326?
Answer: LCM of 8321 and 8326 is 69280646.
2. What are the Factors of 8321?
Answer: Factors of 8321 are 1, 53, 157, 8321. There are 4 integers that are factors of 8321. The greatest factor of 8321 is 8321.
3. What are the Factors of 8326?
Answer: Factors of 8326 are 1, 2, 23, 46, 181, 362, 4163, 8326. There are 8 integers that are factors of 8326. The greatest factor of 8326 is 8326.
4. How to Find the LCM of 8321 and 8326?
Answer:
Least Common Multiple of 8321 and 8326 = 69280646
Step 1: Find the prime factorization of 8321
8321 = 53 x 157
Step 2: Find the prime factorization of 8326
8326 = 2 x 23 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69280646 = 2 x 23 x 53 x 157 x 181
Step 4: Therefore, the least common multiple of 8321 and 8326 is 69280646.
