Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8325 and 8326 the smallest integer that is 69313950 that is divisible by both numbers.
Least Common Multiple (LCM) of 8325 and 8326 is 69313950.
LCM(8325,8326) = 69313950
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8325 and 8326. First we will calculate the prime factors of 8325 and 8326.
Prime Factorization of 8325
3 | 8325 |
3 | 2775 |
5 | 925 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 8325 are 3, 5,37. Prime factorization of 8325 in exponential form is:
8325 = 32×52×371
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 8325 and 8326.
LCM(8325,8326) = 21×32×52×231×371×1811
LCM(8325,8326) = 69313950
Factors of 8325
List of positive integer factors of 8325 that divides 8325 without a remainder.
1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 185, 225, 333, 555, 925, 1665, 2775, 8325
Factors of 8326
List of positive integer factors of 8326 that divides 8326 without a remainder.
1, 2, 23, 46, 181, 362, 4163, 8326
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8325 and 8326, than apply into the LCM equation.
GCF(8325,8326) = 1
LCM(8325,8326) = ( 8325 × 8326) / 1
LCM(8325,8326) = 69313950 / 1
LCM(8325,8326) = 69313950
(i) The LCM of 8326 and 8325 is associative
LCM of 8325 and 8326 = LCM of 8326 and 8325
1. What is the LCM of 8325 and 8326?
Answer: LCM of 8325 and 8326 is 69313950.
2. What are the Factors of 8325?
Answer: Factors of 8325 are 1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 185, 225, 333, 555, 925, 1665, 2775, 8325. There are 18 integers that are factors of 8325. The greatest factor of 8325 is 8325.
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 8325 and 8326?
Answer:
Least Common Multiple of 8325 and 8326 = 69313950
Step 1: Find the prime factorization of 8325
8325 = 3 x 3 x 5 x 5 x 37
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 = 69313950 = 2 x 3 x 3 x 5 x 5 x 23 x 37 x 181
Step 4: Therefore, the least common multiple of 8325 and 8326 is 69313950.