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 8327 the smallest integer that is 69322275 that is divisible by both numbers.
Least Common Multiple (LCM) of 8325 and 8327 is 69322275.
LCM(8325,8327) = 69322275
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 8327. First we will calculate the prime factors of 8325 and 8327.
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 8327
11 | 8327 |
757 | 757 |
1 |
Prime factors of 8327 are 11,757. Prime factorization of 8327 in exponential form is:
8327 = 111×7571
Now multiplying the highest exponent prime factors to calculate the LCM of 8325 and 8327.
LCM(8325,8327) = 32×52×111×371×7571
LCM(8325,8327) = 69322275
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 8327
List of positive integer factors of 8327 that divides 8327 without a remainder.
1, 11, 757, 8327
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8325 and 8327, than apply into the LCM equation.
GCF(8325,8327) = 1
LCM(8325,8327) = ( 8325 × 8327) / 1
LCM(8325,8327) = 69322275 / 1
LCM(8325,8327) = 69322275
(i) The LCM of 8327 and 8325 is associative
LCM of 8325 and 8327 = LCM of 8327 and 8325
1. What is the LCM of 8325 and 8327?
Answer: LCM of 8325 and 8327 is 69322275.
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 8327?
Answer: Factors of 8327 are 1, 11, 757, 8327. There are 4 integers that are factors of 8327. The greatest factor of 8327 is 8327.
4. How to Find the LCM of 8325 and 8327?
Answer:
Least Common Multiple of 8325 and 8327 = 69322275
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 8327
8327 = 11 x 757
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69322275 = 3 x 3 x 5 x 5 x 11 x 37 x 757
Step 4: Therefore, the least common multiple of 8325 and 8327 is 69322275.