Least Common Multiple of 9395 and 9401

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 9401 the smallest integer that is 88322395 that is divisible by both numbers.

Least Common Multiple (LCM) of 9395 and 9401 is 88322395.

LCM(9395,9401) = 88322395

LCM of 9395 and 9401

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

LCM of:
and

Least Common Multiple of 9395 and 9401

LCM of 9395 and 9401 is 88322395

Least common multiple can be found by multiplying the highest exponent prime factors of 9395 and 9401. First we will calculate the prime factors of 9395 and 9401.

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 9401


7 9401
17 1343
79 79
1

Prime factors of 9401 are 7, 17,79. Prime factorization of 9401 in exponential form is:

9401 = 71×171×791

Now multiplying the highest exponent prime factors to calculate the LCM of 9395 and 9401.

LCM(9395,9401) = 51×71×171×791×18791
LCM(9395,9401) = 88322395

Factors of 9395

List of positive integer factors of 9395 that divides 9395 without a remainder.

1, 5, 1879, 9395

Factors of 9401

List of positive integer factors of 9401 that divides 9401 without a remainder.

1, 7, 17, 79, 119, 553, 1343, 9401

Least Common Multiple of 9395 and 9401 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 9401, than apply into the LCM equation.

GCF(9395,9401) = 1
LCM(9395,9401) = ( 9395 × 9401) / 1
LCM(9395,9401) = 88322395 / 1
LCM(9395,9401) = 88322395

Properties of LCM 9395 and 9401

(i) The LCM of 9401 and 9395 is associative

LCM of 9395 and 9401 = LCM of 9401 and 9395

Related Least Common Multiples of 9395

Related Least Common Multiples of 9401

Frequently Asked Questions on LCM of 9395 and 9401

1. What is the LCM of 9395 and 9401?

Answer: LCM of 9395 and 9401 is 88322395.

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 9401?

Answer: Factors of 9401 are 1, 7, 17, 79, 119, 553, 1343, 9401. There are 8 integers that are factors of 9401. The greatest factor of 9401 is 9401.

4. How to Find the LCM of 9395 and 9401?

Answer:

Least Common Multiple of 9395 and 9401 = 88322395

Step 1: Find the prime factorization of 9395

9395 = 5 x 1879

Step 2: Find the prime factorization of 9401

9401 = 7 x 17 x 79

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 88322395 = 5 x 7 x 17 x 79 x 1879

Step 4: Therefore, the least common multiple of 9395 and 9401 is 88322395.