Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9391 and 9399 the smallest integer that is 88266009 that is divisible by both numbers.
Least Common Multiple (LCM) of 9391 and 9399 is 88266009.
LCM(9391,9399) = 88266009
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 9391 and 9399. First we will calculate the prime factors of 9391 and 9399.
Prime Factorization of 9391
9391 | 9391 |
1 |
Prime factors of 9391 are 9391. Prime factorization of 9391 in exponential form is:
9391 = 93911
Prime Factorization of 9399
3 | 9399 |
13 | 3133 |
241 | 241 |
1 |
Prime factors of 9399 are 3, 13,241. Prime factorization of 9399 in exponential form is:
9399 = 31×131×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 9391 and 9399.
LCM(9391,9399) = 31×131×2411×93911
LCM(9391,9399) = 88266009
Factors of 9391
List of positive integer factors of 9391 that divides 9391 without a remainder.
1, 9391
Factors of 9399
List of positive integer factors of 9399 that divides 9399 without a remainder.
1, 3, 13, 39, 241, 723, 3133, 9399
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9391 and 9399, than apply into the LCM equation.
GCF(9391,9399) = 1
LCM(9391,9399) = ( 9391 × 9399) / 1
LCM(9391,9399) = 88266009 / 1
LCM(9391,9399) = 88266009
(i) The LCM of 9399 and 9391 is associative
LCM of 9391 and 9399 = LCM of 9399 and 9391
1. What is the LCM of 9391 and 9399?
Answer: LCM of 9391 and 9399 is 88266009.
2. What are the Factors of 9391?
Answer: Factors of 9391 are 1, 9391. There are 2 integers that are factors of 9391. The greatest factor of 9391 is 9391.
3. What are the Factors of 9399?
Answer: Factors of 9399 are 1, 3, 13, 39, 241, 723, 3133, 9399. There are 8 integers that are factors of 9399. The greatest factor of 9399 is 9399.
4. How to Find the LCM of 9391 and 9399?
Answer:
Least Common Multiple of 9391 and 9399 = 88266009
Step 1: Find the prime factorization of 9391
9391 = 9391
Step 2: Find the prime factorization of 9399
9399 = 3 x 13 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88266009 = 3 x 13 x 241 x 9391
Step 4: Therefore, the least common multiple of 9391 and 9399 is 88266009.