Least Common Multiple of 9395 and 9403

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

LCM of 9395 and 9403

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9395 and 9403

LCM of 9395 and 9403 is 88341185

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

Least Common Multiple of 9395 and 9403 with GCF Formula

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

Properties of LCM 9395 and 9403

(i) The LCM of 9403 and 9395 is associative

LCM of 9395 and 9403 = LCM of 9403 and 9395

Frequently Asked Questions on LCM of 9395 and 9403

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.