Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9329 and 9333 the smallest integer that is 87067557 that is divisible by both numbers.
Least Common Multiple (LCM) of 9329 and 9333 is 87067557.
LCM(9329,9333) = 87067557
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 9329 and 9333. First we will calculate the prime factors of 9329 and 9333.
Prime Factorization of 9329
19 | 9329 |
491 | 491 |
1 |
Prime factors of 9329 are 19,491. Prime factorization of 9329 in exponential form is:
9329 = 191×4911
Prime Factorization of 9333
3 | 9333 |
3 | 3111 |
17 | 1037 |
61 | 61 |
1 |
Prime factors of 9333 are 3, 17,61. Prime factorization of 9333 in exponential form is:
9333 = 32×171×611
Now multiplying the highest exponent prime factors to calculate the LCM of 9329 and 9333.
LCM(9329,9333) = 32×171×191×611×4911
LCM(9329,9333) = 87067557
Factors of 9329
List of positive integer factors of 9329 that divides 9329 without a remainder.
1, 19, 491, 9329
Factors of 9333
List of positive integer factors of 9333 that divides 9333 without a remainder.
1, 3, 9, 17, 51, 61, 153, 183, 549, 1037, 3111, 9333
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9329 and 9333, than apply into the LCM equation.
GCF(9329,9333) = 1
LCM(9329,9333) = ( 9329 × 9333) / 1
LCM(9329,9333) = 87067557 / 1
LCM(9329,9333) = 87067557
(i) The LCM of 9333 and 9329 is associative
LCM of 9329 and 9333 = LCM of 9333 and 9329
1. What is the LCM of 9329 and 9333?
Answer: LCM of 9329 and 9333 is 87067557.
2. What are the Factors of 9329?
Answer: Factors of 9329 are 1, 19, 491, 9329. There are 4 integers that are factors of 9329. The greatest factor of 9329 is 9329.
3. What are the Factors of 9333?
Answer: Factors of 9333 are 1, 3, 9, 17, 51, 61, 153, 183, 549, 1037, 3111, 9333. There are 12 integers that are factors of 9333. The greatest factor of 9333 is 9333.
4. How to Find the LCM of 9329 and 9333?
Answer:
Least Common Multiple of 9329 and 9333 = 87067557
Step 1: Find the prime factorization of 9329
9329 = 19 x 491
Step 2: Find the prime factorization of 9333
9333 = 3 x 3 x 17 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87067557 = 3 x 3 x 17 x 19 x 61 x 491
Step 4: Therefore, the least common multiple of 9329 and 9333 is 87067557.