Least Common Multiple of 9435 and 9442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9435 and 9442 the smallest integer that is 89085270 that is divisible by both numbers.

Least Common Multiple (LCM) of 9435 and 9442 is 89085270.

LCM(9435,9442) = 89085270

LCM of 9435 and 9442

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

LCM of:
and

Least Common Multiple of 9435 and 9442

LCM of 9435 and 9442 is 89085270

Least common multiple can be found by multiplying the highest exponent prime factors of 9435 and 9442. First we will calculate the prime factors of 9435 and 9442.

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

Prime Factorization of 9442


2 9442
4721 4721
1

Prime factors of 9442 are 2,4721. Prime factorization of 9442 in exponential form is:

9442 = 21×47211

Now multiplying the highest exponent prime factors to calculate the LCM of 9435 and 9442.

LCM(9435,9442) = 21×31×51×171×371×47211
LCM(9435,9442) = 89085270

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

Factors of 9442

List of positive integer factors of 9442 that divides 9442 without a remainder.

1, 2, 4721, 9442

Least Common Multiple of 9435 and 9442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9435 and 9442, than apply into the LCM equation.

GCF(9435,9442) = 1
LCM(9435,9442) = ( 9435 × 9442) / 1
LCM(9435,9442) = 89085270 / 1
LCM(9435,9442) = 89085270

Properties of LCM 9435 and 9442

(i) The LCM of 9442 and 9435 is associative

LCM of 9435 and 9442 = LCM of 9442 and 9435

Related Least Common Multiples of 9435

Related Least Common Multiples of 9442

Frequently Asked Questions on LCM of 9435 and 9442

1. What is the LCM of 9435 and 9442?

Answer: LCM of 9435 and 9442 is 89085270.

2. 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.

3. What are the Factors of 9442?

Answer: Factors of 9442 are 1, 2, 4721, 9442. There are 4 integers that are factors of 9442. The greatest factor of 9442 is 9442.

4. How to Find the LCM of 9435 and 9442?

Answer:

Least Common Multiple of 9435 and 9442 = 89085270

Step 1: Find the prime factorization of 9435

9435 = 3 x 5 x 17 x 37

Step 2: Find the prime factorization of 9442

9442 = 2 x 4721

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

LCM = 89085270 = 2 x 3 x 5 x 17 x 37 x 4721

Step 4: Therefore, the least common multiple of 9435 and 9442 is 89085270.