Least Common Multiple of 8321 and 8328
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 8328 the smallest integer that is 69297288 that is divisible by both numbers.
Least Common Multiple (LCM) of 8321 and 8328 is 69297288.
LCM(8321,8328) = 69297288
LCM of 8321 and 8328
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8321 and 8328 by Prime method
- Least Common Multiple of 8321 and 8328 with GCF Formula
LCM of 8321 and 8328 is 69297288
Least common multiple can be found by multiplying the highest exponent prime factors of 8321 and 8328. First we will calculate the prime factors of 8321 and 8328.
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 8328
| 2 | 8328 |
| 2 | 4164 |
| 2 | 2082 |
| 3 | 1041 |
| 347 | 347 |
| 1 |
Prime factors of 8328 are 2, 3,347. Prime factorization of 8328 in exponential form is:
8328 = 23×31×3471
Now multiplying the highest exponent prime factors to calculate the LCM of 8321 and 8328.
LCM(8321,8328) = 23×31×531×1571×3471
LCM(8321,8328) = 69297288
Factors of 8321
List of positive integer factors of 8321 that divides 8321 without a remainder.
1, 53, 157, 8321
Factors of 8328
List of positive integer factors of 8328 that divides 8328 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 347, 694, 1041, 1388, 2082, 2776, 4164, 8328
Least Common Multiple of 8321 and 8328 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 8328, than apply into the LCM equation.
GCF(8321,8328) = 1
LCM(8321,8328) = ( 8321 × 8328) / 1
LCM(8321,8328) = 69297288 / 1
LCM(8321,8328) = 69297288
Properties of LCM 8321 and 8328
(i) The LCM of 8328 and 8321 is associative
LCM of 8321 and 8328 = LCM of 8328 and 8321
Related Least Common Multiples of 8321
Related Least Common Multiples of 8328
Frequently Asked Questions on LCM of 8321 and 8328
1. What is the LCM of 8321 and 8328?
Answer: LCM of 8321 and 8328 is 69297288.
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 8328?
Answer: Factors of 8328 are 1, 2, 3, 4, 6, 8, 12, 24, 347, 694, 1041, 1388, 2082, 2776, 4164, 8328. There are 16 integers that are factors of 8328. The greatest factor of 8328 is 8328.
4. How to Find the LCM of 8321 and 8328?
Answer:
Least Common Multiple of 8321 and 8328 = 69297288
Step 1: Find the prime factorization of 8321
8321 = 53 x 157
Step 2: Find the prime factorization of 8328
8328 = 2 x 2 x 2 x 3 x 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69297288 = 2 x 2 x 2 x 3 x 53 x 157 x 347
Step 4: Therefore, the least common multiple of 8321 and 8328 is 69297288.