Least Common Multiple of 9428 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 9428 and 9435 the smallest integer that is 88953180 that is divisible by both numbers.

Least Common Multiple (LCM) of 9428 and 9435 is 88953180.

LCM(9428,9435) = 88953180

LCM of 9428 and 9435

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

LCM of:
and

Least Common Multiple of 9428 and 9435

LCM of 9428 and 9435 is 88953180

Least common multiple can be found by multiplying the highest exponent prime factors of 9428 and 9435. First we will calculate the prime factors of 9428 and 9435.

Prime Factorization of 9428


2 9428
2 4714
2357 2357
1

Prime factors of 9428 are 2,2357. Prime factorization of 9428 in exponential form is:

9428 = 22×23571

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 9428 and 9435.

LCM(9428,9435) = 22×31×51×171×371×23571
LCM(9428,9435) = 88953180

Factors of 9428

List of positive integer factors of 9428 that divides 9428 without a remainder.

1, 2, 4, 2357, 4714, 9428

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 9428 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 9428 and 9435, than apply into the LCM equation.

GCF(9428,9435) = 1
LCM(9428,9435) = ( 9428 × 9435) / 1
LCM(9428,9435) = 88953180 / 1
LCM(9428,9435) = 88953180

Properties of LCM 9428 and 9435

(i) The LCM of 9435 and 9428 is associative

LCM of 9428 and 9435 = LCM of 9435 and 9428

Related Least Common Multiples of 9428

Related Least Common Multiples of 9435

Frequently Asked Questions on LCM of 9428 and 9435

1. What is the LCM of 9428 and 9435?

Answer: LCM of 9428 and 9435 is 88953180.

2. What are the Factors of 9428?

Answer: Factors of 9428 are 1, 2, 4, 2357, 4714, 9428. There are 6 integers that are factors of 9428. The greatest factor of 9428 is 9428.

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 9428 and 9435?

Answer:

Least Common Multiple of 9428 and 9435 = 88953180

Step 1: Find the prime factorization of 9428

9428 = 2 x 2 x 2357

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 = 88953180 = 2 x 2 x 3 x 5 x 17 x 37 x 2357

Step 4: Therefore, the least common multiple of 9428 and 9435 is 88953180.