Least Common Multiple of 9428 and 9434

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 9434 the smallest integer that is 44471876 that is divisible by both numbers.

Least Common Multiple (LCM) of 9428 and 9434 is 44471876.

LCM(9428,9434) = 44471876

LCM of 9428 and 9434

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

LCM of:
and

Least Common Multiple of 9428 and 9434

LCM of 9428 and 9434 is 44471876

Least common multiple can be found by multiplying the highest exponent prime factors of 9428 and 9434. First we will calculate the prime factors of 9428 and 9434.

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 9434


2 9434
53 4717
89 89
1

Prime factors of 9434 are 2, 53,89. Prime factorization of 9434 in exponential form is:

9434 = 21×531×891

Now multiplying the highest exponent prime factors to calculate the LCM of 9428 and 9434.

LCM(9428,9434) = 22×531×891×23571
LCM(9428,9434) = 44471876

Factors of 9428

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

1, 2, 4, 2357, 4714, 9428

Factors of 9434

List of positive integer factors of 9434 that divides 9434 without a remainder.

1, 2, 53, 89, 106, 178, 4717, 9434

Least Common Multiple of 9428 and 9434 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 9434, than apply into the LCM equation.

GCF(9428,9434) = 2
LCM(9428,9434) = ( 9428 × 9434) / 2
LCM(9428,9434) = 88943752 / 2
LCM(9428,9434) = 44471876

Properties of LCM 9428 and 9434

(i) The LCM of 9434 and 9428 is associative

LCM of 9428 and 9434 = LCM of 9434 and 9428

Related Least Common Multiples of 9428

Related Least Common Multiples of 9434

Frequently Asked Questions on LCM of 9428 and 9434

1. What is the LCM of 9428 and 9434?

Answer: LCM of 9428 and 9434 is 44471876.

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 9434?

Answer: Factors of 9434 are 1, 2, 53, 89, 106, 178, 4717, 9434. There are 8 integers that are factors of 9434. The greatest factor of 9434 is 9434.

4. How to Find the LCM of 9428 and 9434?

Answer:

Least Common Multiple of 9428 and 9434 = 44471876

Step 1: Find the prime factorization of 9428

9428 = 2 x 2 x 2357

Step 2: Find the prime factorization of 9434

9434 = 2 x 53 x 89

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

LCM = 44471876 = 2 x 2 x 53 x 89 x 2357

Step 4: Therefore, the least common multiple of 9428 and 9434 is 44471876.