Least Common Multiple of 9393 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 9393 and 9401 the smallest integer that is 88303593 that is divisible by both numbers.

Least Common Multiple (LCM) of 9393 and 9401 is 88303593.

LCM(9393,9401) = 88303593

LCM of 9393 and 9401

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

LCM of:
and

Least Common Multiple of 9393 and 9401

LCM of 9393 and 9401 is 88303593

Least common multiple can be found by multiplying the highest exponent prime factors of 9393 and 9401. First we will calculate the prime factors of 9393 and 9401.

Prime Factorization of 9393


3 9393
31 3131
101 101
1

Prime factors of 9393 are 3, 31,101. Prime factorization of 9393 in exponential form is:

9393 = 31×311×1011

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 9393 and 9401.

LCM(9393,9401) = 31×71×171×311×791×1011
LCM(9393,9401) = 88303593

Factors of 9393

List of positive integer factors of 9393 that divides 9393 without a remainder.

1, 3, 31, 93, 101, 303, 3131, 9393

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 9393 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 9393 and 9401, than apply into the LCM equation.

GCF(9393,9401) = 1
LCM(9393,9401) = ( 9393 × 9401) / 1
LCM(9393,9401) = 88303593 / 1
LCM(9393,9401) = 88303593

Properties of LCM 9393 and 9401

(i) The LCM of 9401 and 9393 is associative

LCM of 9393 and 9401 = LCM of 9401 and 9393

Related Least Common Multiples of 9393

Related Least Common Multiples of 9401

Frequently Asked Questions on LCM of 9393 and 9401

1. What is the LCM of 9393 and 9401?

Answer: LCM of 9393 and 9401 is 88303593.

2. What are the Factors of 9393?

Answer: Factors of 9393 are 1, 3, 31, 93, 101, 303, 3131, 9393. There are 8 integers that are factors of 9393. The greatest factor of 9393 is 9393.

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 9393 and 9401?

Answer:

Least Common Multiple of 9393 and 9401 = 88303593

Step 1: Find the prime factorization of 9393

9393 = 3 x 31 x 101

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 = 88303593 = 3 x 7 x 17 x 31 x 79 x 101

Step 4: Therefore, the least common multiple of 9393 and 9401 is 88303593.