Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9433 and 9439 the smallest integer that is 89038087 that is divisible by both numbers.
Least Common Multiple (LCM) of 9433 and 9439 is 89038087.
LCM(9433,9439) = 89038087
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 9433 and 9439. First we will calculate the prime factors of 9433 and 9439.
Prime Factorization of 9433
9433 | 9433 |
1 |
Prime factors of 9433 are 9433. Prime factorization of 9433 in exponential form is:
9433 = 94331
Prime Factorization of 9439
9439 | 9439 |
1 |
Prime factors of 9439 are 9439. Prime factorization of 9439 in exponential form is:
9439 = 94391
Now multiplying the highest exponent prime factors to calculate the LCM of 9433 and 9439.
LCM(9433,9439) = 94331×94391
LCM(9433,9439) = 89038087
Factors of 9433
List of positive integer factors of 9433 that divides 9433 without a remainder.
1, 9433
Factors of 9439
List of positive integer factors of 9439 that divides 9439 without a remainder.
1, 9439
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9433 and 9439, than apply into the LCM equation.
GCF(9433,9439) = 1
LCM(9433,9439) = ( 9433 × 9439) / 1
LCM(9433,9439) = 89038087 / 1
LCM(9433,9439) = 89038087
(i) The LCM of 9439 and 9433 is associative
LCM of 9433 and 9439 = LCM of 9439 and 9433
1. What is the LCM of 9433 and 9439?
Answer: LCM of 9433 and 9439 is 89038087.
2. What are the Factors of 9433?
Answer: Factors of 9433 are 1, 9433. There are 2 integers that are factors of 9433. The greatest factor of 9433 is 9433.
3. What are the Factors of 9439?
Answer: Factors of 9439 are 1, 9439. There are 2 integers that are factors of 9439. The greatest factor of 9439 is 9439.
4. How to Find the LCM of 9433 and 9439?
Answer:
Least Common Multiple of 9433 and 9439 = 89038087
Step 1: Find the prime factorization of 9433
9433 = 9433
Step 2: Find the prime factorization of 9439
9439 = 9439
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89038087 = 9433 x 9439
Step 4: Therefore, the least common multiple of 9433 and 9439 is 89038087.