Least Common Multiple of 9405 and 9410

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 9410 the smallest integer that is 17700210 that is divisible by both numbers.

Least Common Multiple (LCM) of 9405 and 9410 is 17700210.

LCM(9405,9410) = 17700210

LCM of 9405 and 9410

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

LCM of:
and

Least Common Multiple of 9405 and 9410

LCM of 9405 and 9410 is 17700210

Least common multiple can be found by multiplying the highest exponent prime factors of 9405 and 9410. First we will calculate the prime factors of 9405 and 9410.

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 9410


2 9410
5 4705
941 941
1

Prime factors of 9410 are 2, 5,941. Prime factorization of 9410 in exponential form is:

9410 = 21×51×9411

Now multiplying the highest exponent prime factors to calculate the LCM of 9405 and 9410.

LCM(9405,9410) = 21×32×51×111×191×9411
LCM(9405,9410) = 17700210

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 9410

List of positive integer factors of 9410 that divides 9410 without a remainder.

1, 2, 5, 10, 941, 1882, 4705, 9410

Least Common Multiple of 9405 and 9410 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 9410, than apply into the LCM equation.

GCF(9405,9410) = 5
LCM(9405,9410) = ( 9405 × 9410) / 5
LCM(9405,9410) = 88501050 / 5
LCM(9405,9410) = 17700210

Properties of LCM 9405 and 9410

(i) The LCM of 9410 and 9405 is associative

LCM of 9405 and 9410 = LCM of 9410 and 9405

Related Least Common Multiples of 9405

Related Least Common Multiples of 9410

Frequently Asked Questions on LCM of 9405 and 9410

1. What is the LCM of 9405 and 9410?

Answer: LCM of 9405 and 9410 is 17700210.

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 9410?

Answer: Factors of 9410 are 1, 2, 5, 10, 941, 1882, 4705, 9410. There are 8 integers that are factors of 9410. The greatest factor of 9410 is 9410.

4. How to Find the LCM of 9405 and 9410?

Answer:

Least Common Multiple of 9405 and 9410 = 17700210

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 9410

9410 = 2 x 5 x 941

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

LCM = 17700210 = 2 x 3 x 3 x 5 x 11 x 19 x 941

Step 4: Therefore, the least common multiple of 9405 and 9410 is 17700210.