Least Common Multiple of 9430 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 9430 and 9434 the smallest integer that is 44481310 that is divisible by both numbers.

Least Common Multiple (LCM) of 9430 and 9434 is 44481310.

LCM(9430,9434) = 44481310

LCM of 9430 and 9434

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

LCM of:
and

Least Common Multiple of 9430 and 9434

LCM of 9430 and 9434 is 44481310

Least common multiple can be found by multiplying the highest exponent prime factors of 9430 and 9434. First we will calculate the prime factors of 9430 and 9434.

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 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 9430 and 9434.

LCM(9430,9434) = 21×51×231×411×531×891
LCM(9430,9434) = 44481310

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 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 9430 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 9430 and 9434, than apply into the LCM equation.

GCF(9430,9434) = 2
LCM(9430,9434) = ( 9430 × 9434) / 2
LCM(9430,9434) = 88962620 / 2
LCM(9430,9434) = 44481310

Properties of LCM 9430 and 9434

(i) The LCM of 9434 and 9430 is associative

LCM of 9430 and 9434 = LCM of 9434 and 9430

Related Least Common Multiples of 9430

Related Least Common Multiples of 9434

Frequently Asked Questions on LCM of 9430 and 9434

1. What is the LCM of 9430 and 9434?

Answer: LCM of 9430 and 9434 is 44481310.

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 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 9430 and 9434?

Answer:

Least Common Multiple of 9430 and 9434 = 44481310

Step 1: Find the prime factorization of 9430

9430 = 2 x 5 x 23 x 41

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 = 44481310 = 2 x 5 x 23 x 41 x 53 x 89

Step 4: Therefore, the least common multiple of 9430 and 9434 is 44481310.