Least Common Multiple of 9405 and 9412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9405 and 9412 the smallest integer that is 88519860 that is divisible by both numbers.

Least Common Multiple (LCM) of 9405 and 9412 is 88519860.

LCM(9405,9412) = 88519860

LCM of 9405 and 9412

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

LCM of:
and

Least Common Multiple of 9405 and 9412

LCM of 9405 and 9412 is 88519860

Least common multiple can be found by multiplying the highest exponent prime factors of 9405 and 9412. First we will calculate the prime factors of 9405 and 9412.

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

Prime Factorization of 9412


2 9412
2 4706
13 2353
181 181
1

Prime factors of 9412 are 2, 13,181. Prime factorization of 9412 in exponential form is:

9412 = 22×131×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 9405 and 9412.

LCM(9405,9412) = 22×32×51×111×131×191×1811
LCM(9405,9412) = 88519860

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

Factors of 9412

List of positive integer factors of 9412 that divides 9412 without a remainder.

1, 2, 4, 13, 26, 52, 181, 362, 724, 2353, 4706, 9412

Least Common Multiple of 9405 and 9412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9405 and 9412, than apply into the LCM equation.

GCF(9405,9412) = 1
LCM(9405,9412) = ( 9405 × 9412) / 1
LCM(9405,9412) = 88519860 / 1
LCM(9405,9412) = 88519860

Properties of LCM 9405 and 9412

(i) The LCM of 9412 and 9405 is associative

LCM of 9405 and 9412 = LCM of 9412 and 9405

Related Least Common Multiples of 9405

Related Least Common Multiples of 9412

Frequently Asked Questions on LCM of 9405 and 9412

1. What is the LCM of 9405 and 9412?

Answer: LCM of 9405 and 9412 is 88519860.

2. 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.

3. What are the Factors of 9412?

Answer: Factors of 9412 are 1, 2, 4, 13, 26, 52, 181, 362, 724, 2353, 4706, 9412. There are 12 integers that are factors of 9412. The greatest factor of 9412 is 9412.

4. How to Find the LCM of 9405 and 9412?

Answer:

Least Common Multiple of 9405 and 9412 = 88519860

Step 1: Find the prime factorization of 9405

9405 = 3 x 3 x 5 x 11 x 19

Step 2: Find the prime factorization of 9412

9412 = 2 x 2 x 13 x 181

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

LCM = 88519860 = 2 x 2 x 3 x 3 x 5 x 11 x 13 x 19 x 181

Step 4: Therefore, the least common multiple of 9405 and 9412 is 88519860.