Least Common Multiple of 9405 and 9411

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 9411 the smallest integer that is 29503485 that is divisible by both numbers.

Least Common Multiple (LCM) of 9405 and 9411 is 29503485.

LCM(9405,9411) = 29503485

LCM of 9405 and 9411

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

LCM of:
and

Least Common Multiple of 9405 and 9411

LCM of 9405 and 9411 is 29503485

Least common multiple can be found by multiplying the highest exponent prime factors of 9405 and 9411. First we will calculate the prime factors of 9405 and 9411.

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 9411


3 9411
3137 3137
1

Prime factors of 9411 are 3,3137. Prime factorization of 9411 in exponential form is:

9411 = 31×31371

Now multiplying the highest exponent prime factors to calculate the LCM of 9405 and 9411.

LCM(9405,9411) = 32×51×111×191×31371
LCM(9405,9411) = 29503485

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 9411

List of positive integer factors of 9411 that divides 9411 without a remainder.

1, 3, 3137, 9411

Least Common Multiple of 9405 and 9411 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 9411, than apply into the LCM equation.

GCF(9405,9411) = 3
LCM(9405,9411) = ( 9405 × 9411) / 3
LCM(9405,9411) = 88510455 / 3
LCM(9405,9411) = 29503485

Properties of LCM 9405 and 9411

(i) The LCM of 9411 and 9405 is associative

LCM of 9405 and 9411 = LCM of 9411 and 9405

Related Least Common Multiples of 9405

Related Least Common Multiples of 9411

Frequently Asked Questions on LCM of 9405 and 9411

1. What is the LCM of 9405 and 9411?

Answer: LCM of 9405 and 9411 is 29503485.

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 9411?

Answer: Factors of 9411 are 1, 3, 3137, 9411. There are 4 integers that are factors of 9411. The greatest factor of 9411 is 9411.

4. How to Find the LCM of 9405 and 9411?

Answer:

Least Common Multiple of 9405 and 9411 = 29503485

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 9411

9411 = 3 x 3137

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

LCM = 29503485 = 3 x 3 x 5 x 11 x 19 x 3137

Step 4: Therefore, the least common multiple of 9405 and 9411 is 29503485.