Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9323 and 9327 the smallest integer that is 86955621 that is divisible by both numbers.
Least Common Multiple (LCM) of 9323 and 9327 is 86955621.
LCM(9323,9327) = 86955621
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 9323 and 9327. First we will calculate the prime factors of 9323 and 9327.
Prime Factorization of 9323
9323 | 9323 |
1 |
Prime factors of 9323 are 9323. Prime factorization of 9323 in exponential form is:
9323 = 93231
Prime Factorization of 9327
3 | 9327 |
3109 | 3109 |
1 |
Prime factors of 9327 are 3,3109. Prime factorization of 9327 in exponential form is:
9327 = 31×31091
Now multiplying the highest exponent prime factors to calculate the LCM of 9323 and 9327.
LCM(9323,9327) = 31×31091×93231
LCM(9323,9327) = 86955621
Factors of 9323
List of positive integer factors of 9323 that divides 9323 without a remainder.
1, 9323
Factors of 9327
List of positive integer factors of 9327 that divides 9327 without a remainder.
1, 3, 3109, 9327
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9323 and 9327, than apply into the LCM equation.
GCF(9323,9327) = 1
LCM(9323,9327) = ( 9323 × 9327) / 1
LCM(9323,9327) = 86955621 / 1
LCM(9323,9327) = 86955621
(i) The LCM of 9327 and 9323 is associative
LCM of 9323 and 9327 = LCM of 9327 and 9323
1. What is the LCM of 9323 and 9327?
Answer: LCM of 9323 and 9327 is 86955621.
2. What are the Factors of 9323?
Answer: Factors of 9323 are 1, 9323. There are 2 integers that are factors of 9323. The greatest factor of 9323 is 9323.
3. What are the Factors of 9327?
Answer: Factors of 9327 are 1, 3, 3109, 9327. There are 4 integers that are factors of 9327. The greatest factor of 9327 is 9327.
4. How to Find the LCM of 9323 and 9327?
Answer:
Least Common Multiple of 9323 and 9327 = 86955621
Step 1: Find the prime factorization of 9323
9323 = 9323
Step 2: Find the prime factorization of 9327
9327 = 3 x 3109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 86955621 = 3 x 3109 x 9323
Step 4: Therefore, the least common multiple of 9323 and 9327 is 86955621.