Least Common Multiple of 9404 and 9405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9404 and 9405 the smallest integer that is 88444620 that is divisible by both numbers.

Least Common Multiple (LCM) of 9404 and 9405 is 88444620.

LCM(9404,9405) = 88444620

LCM of 9404 and 9405

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

LCM of:
and

Least Common Multiple of 9404 and 9405

LCM of 9404 and 9405 is 88444620

Least common multiple can be found by multiplying the highest exponent prime factors of 9404 and 9405. First we will calculate the prime factors of 9404 and 9405.

Prime Factorization of 9404


2 9404
2 4702
2351 2351
1

Prime factors of 9404 are 2,2351. Prime factorization of 9404 in exponential form is:

9404 = 22×23511

Prime Factorization of 9405


3 9405
3 3135
5 1045
11 209
19 19
1

Prime factors of 9405 are 3, 5, 11,19. Prime factorization of 9405 in exponential form is:

9405 = 32×51×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 9404 and 9405.

LCM(9404,9405) = 22×32×51×111×191×23511
LCM(9404,9405) = 88444620

Factors of 9404

List of positive integer factors of 9404 that divides 9404 without a remainder.

1, 2, 4, 2351, 4702, 9404

Factors of 9405

List of positive integer factors of 9405 that divides 9405 without a remainder.

1, 3, 5, 9, 11, 15, 19, 33, 45, 55, 57, 95, 99, 165, 171, 209, 285, 495, 627, 855, 1045, 1881, 3135, 9405

Least Common Multiple of 9404 and 9405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9404 and 9405, than apply into the LCM equation.

GCF(9404,9405) = 1
LCM(9404,9405) = ( 9404 × 9405) / 1
LCM(9404,9405) = 88444620 / 1
LCM(9404,9405) = 88444620

Properties of LCM 9404 and 9405

(i) The LCM of 9405 and 9404 is associative

LCM of 9404 and 9405 = LCM of 9405 and 9404

Related Least Common Multiples of 9404

Related Least Common Multiples of 9405

Frequently Asked Questions on LCM of 9404 and 9405

1. What is the LCM of 9404 and 9405?

Answer: LCM of 9404 and 9405 is 88444620.

2. What are the Factors of 9404?

Answer: Factors of 9404 are 1, 2, 4, 2351, 4702, 9404. There are 6 integers that are factors of 9404. The greatest factor of 9404 is 9404.

3. What are the Factors of 9405?

Answer: Factors of 9405 are 1, 3, 5, 9, 11, 15, 19, 33, 45, 55, 57, 95, 99, 165, 171, 209, 285, 495, 627, 855, 1045, 1881, 3135, 9405. There are 24 integers that are factors of 9405. The greatest factor of 9405 is 9405.

4. How to Find the LCM of 9404 and 9405?

Answer:

Least Common Multiple of 9404 and 9405 = 88444620

Step 1: Find the prime factorization of 9404

9404 = 2 x 2 x 2351

Step 2: Find the prime factorization of 9405

9405 = 3 x 3 x 5 x 11 x 19

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

LCM = 88444620 = 2 x 2 x 3 x 3 x 5 x 11 x 19 x 2351

Step 4: Therefore, the least common multiple of 9404 and 9405 is 88444620.