Least Common Multiple of 9430 and 9435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9430 and 9435 the smallest integer that is 17794410 that is divisible by both numbers.

Least Common Multiple (LCM) of 9430 and 9435 is 17794410.

LCM(9430,9435) = 17794410

LCM of 9430 and 9435

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

LCM of:
and

Least Common Multiple of 9430 and 9435

LCM of 9430 and 9435 is 17794410

Least common multiple can be found by multiplying the highest exponent prime factors of 9430 and 9435. First we will calculate the prime factors of 9430 and 9435.

Prime Factorization of 9430


2 9430
5 4715
23 943
41 41
1

Prime factors of 9430 are 2, 5, 23,41. Prime factorization of 9430 in exponential form is:

9430 = 21×51×231×411

Prime Factorization of 9435


3 9435
5 3145
17 629
37 37
1

Prime factors of 9435 are 3, 5, 17,37. Prime factorization of 9435 in exponential form is:

9435 = 31×51×171×371

Now multiplying the highest exponent prime factors to calculate the LCM of 9430 and 9435.

LCM(9430,9435) = 21×31×51×171×231×371×411
LCM(9430,9435) = 17794410

Factors of 9430

List of positive integer factors of 9430 that divides 9430 without a remainder.

1, 2, 5, 10, 23, 41, 46, 82, 115, 205, 230, 410, 943, 1886, 4715, 9430

Factors of 9435

List of positive integer factors of 9435 that divides 9435 without a remainder.

1, 3, 5, 15, 17, 37, 51, 85, 111, 185, 255, 555, 629, 1887, 3145, 9435

Least Common Multiple of 9430 and 9435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9430 and 9435, than apply into the LCM equation.

GCF(9430,9435) = 5
LCM(9430,9435) = ( 9430 × 9435) / 5
LCM(9430,9435) = 88972050 / 5
LCM(9430,9435) = 17794410

Properties of LCM 9430 and 9435

(i) The LCM of 9435 and 9430 is associative

LCM of 9430 and 9435 = LCM of 9435 and 9430

Related Least Common Multiples of 9430

Related Least Common Multiples of 9435

Frequently Asked Questions on LCM of 9430 and 9435

1. What is the LCM of 9430 and 9435?

Answer: LCM of 9430 and 9435 is 17794410.

2. What are the Factors of 9430?

Answer: Factors of 9430 are 1, 2, 5, 10, 23, 41, 46, 82, 115, 205, 230, 410, 943, 1886, 4715, 9430. There are 16 integers that are factors of 9430. The greatest factor of 9430 is 9430.

3. What are the Factors of 9435?

Answer: Factors of 9435 are 1, 3, 5, 15, 17, 37, 51, 85, 111, 185, 255, 555, 629, 1887, 3145, 9435. There are 16 integers that are factors of 9435. The greatest factor of 9435 is 9435.

4. How to Find the LCM of 9430 and 9435?

Answer:

Least Common Multiple of 9430 and 9435 = 17794410

Step 1: Find the prime factorization of 9430

9430 = 2 x 5 x 23 x 41

Step 2: Find the prime factorization of 9435

9435 = 3 x 5 x 17 x 37

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

LCM = 17794410 = 2 x 3 x 5 x 17 x 23 x 37 x 41

Step 4: Therefore, the least common multiple of 9430 and 9435 is 17794410.