Least Common Multiple of 8326 and 8333
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8326 and 8333 the smallest integer that is 69380558 that is divisible by both numbers.
Least Common Multiple (LCM) of 8326 and 8333 is 69380558.
LCM(8326,8333) = 69380558
LCM of 8326 and 8333
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8326 and 8333 by Prime method
- Least Common Multiple of 8326 and 8333 with GCF Formula
LCM of 8326 and 8333 is 69380558
Least common multiple can be found by multiplying the highest exponent prime factors of 8326 and 8333. First we will calculate the prime factors of 8326 and 8333.
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
Prime Factorization of 8333
| 13 | 8333 |
| 641 | 641 |
| 1 |
Prime factors of 8333 are 13,641. Prime factorization of 8333 in exponential form is:
8333 = 131×6411
Now multiplying the highest exponent prime factors to calculate the LCM of 8326 and 8333.
LCM(8326,8333) = 21×131×231×1811×6411
LCM(8326,8333) = 69380558
Factors of 8326
List of positive integer factors of 8326 that divides 8326 without a remainder.
1, 2, 23, 46, 181, 362, 4163, 8326
Factors of 8333
List of positive integer factors of 8333 that divides 8333 without a remainder.
1, 13, 641, 8333
Least Common Multiple of 8326 and 8333 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8326 and 8333, than apply into the LCM equation.
GCF(8326,8333) = 1
LCM(8326,8333) = ( 8326 × 8333) / 1
LCM(8326,8333) = 69380558 / 1
LCM(8326,8333) = 69380558
Properties of LCM 8326 and 8333
(i) The LCM of 8333 and 8326 is associative
LCM of 8326 and 8333 = LCM of 8333 and 8326
Related Least Common Multiples of 8326
Related Least Common Multiples of 8333
Frequently Asked Questions on LCM of 8326 and 8333
1. What is the LCM of 8326 and 8333?
Answer: LCM of 8326 and 8333 is 69380558.
2. 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.
3. What are the Factors of 8333?
Answer: Factors of 8333 are 1, 13, 641, 8333. There are 4 integers that are factors of 8333. The greatest factor of 8333 is 8333.
4. How to Find the LCM of 8326 and 8333?
Answer:
Least Common Multiple of 8326 and 8333 = 69380558
Step 1: Find the prime factorization of 8326
8326 = 2 x 23 x 181
Step 2: Find the prime factorization of 8333
8333 = 13 x 641
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69380558 = 2 x 13 x 23 x 181 x 641
Step 4: Therefore, the least common multiple of 8326 and 8333 is 69380558.