Least Common Multiple of 9402 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 9402 and 9405 the smallest integer that is 29475270 that is divisible by both numbers.

Least Common Multiple (LCM) of 9402 and 9405 is 29475270.

LCM(9402,9405) = 29475270

LCM of 9402 and 9405

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

LCM of:
and

Least Common Multiple of 9402 and 9405

LCM of 9402 and 9405 is 29475270

Least common multiple can be found by multiplying the highest exponent prime factors of 9402 and 9405. First we will calculate the prime factors of 9402 and 9405.

Prime Factorization of 9402


2 9402
3 4701
1567 1567
1

Prime factors of 9402 are 2, 3,1567. Prime factorization of 9402 in exponential form is:

9402 = 21×31×15671

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 9402 and 9405.

LCM(9402,9405) = 21×32×51×111×191×15671
LCM(9402,9405) = 29475270

Factors of 9402

List of positive integer factors of 9402 that divides 9402 without a remainder.

1, 2, 3, 6, 1567, 3134, 4701, 9402

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 9402 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 9402 and 9405, than apply into the LCM equation.

GCF(9402,9405) = 3
LCM(9402,9405) = ( 9402 × 9405) / 3
LCM(9402,9405) = 88425810 / 3
LCM(9402,9405) = 29475270

Properties of LCM 9402 and 9405

(i) The LCM of 9405 and 9402 is associative

LCM of 9402 and 9405 = LCM of 9405 and 9402

Related Least Common Multiples of 9402

Related Least Common Multiples of 9405

Frequently Asked Questions on LCM of 9402 and 9405

1. What is the LCM of 9402 and 9405?

Answer: LCM of 9402 and 9405 is 29475270.

2. What are the Factors of 9402?

Answer: Factors of 9402 are 1, 2, 3, 6, 1567, 3134, 4701, 9402. There are 8 integers that are factors of 9402. The greatest factor of 9402 is 9402.

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 9402 and 9405?

Answer:

Least Common Multiple of 9402 and 9405 = 29475270

Step 1: Find the prime factorization of 9402

9402 = 2 x 3 x 1567

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 = 29475270 = 2 x 3 x 3 x 5 x 11 x 19 x 1567

Step 4: Therefore, the least common multiple of 9402 and 9405 is 29475270.