Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9395 and 9403 the smallest integer that is 88341185 that is divisible by both numbers.
Least Common Multiple (LCM) of 9395 and 9403 is 88341185.
LCM(9395,9403) = 88341185
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 9395 and 9403. First we will calculate the prime factors of 9395 and 9403.
Prime Factorization of 9395
5 | 9395 |
1879 | 1879 |
1 |
Prime factors of 9395 are 5,1879. Prime factorization of 9395 in exponential form is:
9395 = 51×18791
Prime Factorization of 9403
9403 | 9403 |
1 |
Prime factors of 9403 are 9403. Prime factorization of 9403 in exponential form is:
9403 = 94031
Now multiplying the highest exponent prime factors to calculate the LCM of 9395 and 9403.
LCM(9395,9403) = 51×18791×94031
LCM(9395,9403) = 88341185
Factors of 9395
List of positive integer factors of 9395 that divides 9395 without a remainder.
1, 5, 1879, 9395
Factors of 9403
List of positive integer factors of 9403 that divides 9403 without a remainder.
1, 9403
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9395 and 9403, than apply into the LCM equation.
GCF(9395,9403) = 1
LCM(9395,9403) = ( 9395 × 9403) / 1
LCM(9395,9403) = 88341185 / 1
LCM(9395,9403) = 88341185
(i) The LCM of 9403 and 9395 is associative
LCM of 9395 and 9403 = LCM of 9403 and 9395
1. What is the LCM of 9395 and 9403?
Answer: LCM of 9395 and 9403 is 88341185.
2. What are the Factors of 9395?
Answer: Factors of 9395 are 1, 5, 1879, 9395. There are 4 integers that are factors of 9395. The greatest factor of 9395 is 9395.
3. What are the Factors of 9403?
Answer: Factors of 9403 are 1, 9403. There are 2 integers that are factors of 9403. The greatest factor of 9403 is 9403.
4. How to Find the LCM of 9395 and 9403?
Answer:
Least Common Multiple of 9395 and 9403 = 88341185
Step 1: Find the prime factorization of 9395
9395 = 5 x 1879
Step 2: Find the prime factorization of 9403
9403 = 9403
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88341185 = 5 x 1879 x 9403
Step 4: Therefore, the least common multiple of 9395 and 9403 is 88341185.