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 9397 the smallest integer that is 88284815 that is divisible by both numbers.
Least Common Multiple (LCM) of 9395 and 9397 is 88284815.
LCM(9395,9397) = 88284815
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 9397. First we will calculate the prime factors of 9395 and 9397.
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 9397
9397 | 9397 |
1 |
Prime factors of 9397 are 9397. Prime factorization of 9397 in exponential form is:
9397 = 93971
Now multiplying the highest exponent prime factors to calculate the LCM of 9395 and 9397.
LCM(9395,9397) = 51×18791×93971
LCM(9395,9397) = 88284815
Factors of 9395
List of positive integer factors of 9395 that divides 9395 without a remainder.
1, 5, 1879, 9395
Factors of 9397
List of positive integer factors of 9397 that divides 9397 without a remainder.
1, 9397
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9395 and 9397, than apply into the LCM equation.
GCF(9395,9397) = 1
LCM(9395,9397) = ( 9395 × 9397) / 1
LCM(9395,9397) = 88284815 / 1
LCM(9395,9397) = 88284815
(i) The LCM of 9397 and 9395 is associative
LCM of 9395 and 9397 = LCM of 9397 and 9395
1. What is the LCM of 9395 and 9397?
Answer: LCM of 9395 and 9397 is 88284815.
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 9397?
Answer: Factors of 9397 are 1, 9397. There are 2 integers that are factors of 9397. The greatest factor of 9397 is 9397.
4. How to Find the LCM of 9395 and 9397?
Answer:
Least Common Multiple of 9395 and 9397 = 88284815
Step 1: Find the prime factorization of 9395
9395 = 5 x 1879
Step 2: Find the prime factorization of 9397
9397 = 9397
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88284815 = 5 x 1879 x 9397
Step 4: Therefore, the least common multiple of 9395 and 9397 is 88284815.