Least Common Multiple of 9423 and 9430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9423 and 9430 the smallest integer that is 88858890 that is divisible by both numbers.

Least Common Multiple (LCM) of 9423 and 9430 is 88858890.

LCM(9423,9430) = 88858890

LCM of 9423 and 9430

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

LCM of:
and

Least Common Multiple of 9423 and 9430

LCM of 9423 and 9430 is 88858890

Least common multiple can be found by multiplying the highest exponent prime factors of 9423 and 9430. First we will calculate the prime factors of 9423 and 9430.

Prime Factorization of 9423


3 9423
3 3141
3 1047
349 349
1

Prime factors of 9423 are 3,349. Prime factorization of 9423 in exponential form is:

9423 = 33×3491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9423 and 9430.

LCM(9423,9430) = 21×33×51×231×411×3491
LCM(9423,9430) = 88858890

Factors of 9423

List of positive integer factors of 9423 that divides 9423 without a remainder.

1, 3, 9, 27, 349, 1047, 3141, 9423

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

Least Common Multiple of 9423 and 9430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9423 and 9430, than apply into the LCM equation.

GCF(9423,9430) = 1
LCM(9423,9430) = ( 9423 × 9430) / 1
LCM(9423,9430) = 88858890 / 1
LCM(9423,9430) = 88858890

Properties of LCM 9423 and 9430

(i) The LCM of 9430 and 9423 is associative

LCM of 9423 and 9430 = LCM of 9430 and 9423

Related Least Common Multiples of 9423

Related Least Common Multiples of 9430

Frequently Asked Questions on LCM of 9423 and 9430

1. What is the LCM of 9423 and 9430?

Answer: LCM of 9423 and 9430 is 88858890.

2. What are the Factors of 9423?

Answer: Factors of 9423 are 1, 3, 9, 27, 349, 1047, 3141, 9423. There are 8 integers that are factors of 9423. The greatest factor of 9423 is 9423.

3. 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.

4. How to Find the LCM of 9423 and 9430?

Answer:

Least Common Multiple of 9423 and 9430 = 88858890

Step 1: Find the prime factorization of 9423

9423 = 3 x 3 x 3 x 349

Step 2: Find the prime factorization of 9430

9430 = 2 x 5 x 23 x 41

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

LCM = 88858890 = 2 x 3 x 3 x 3 x 5 x 23 x 41 x 349

Step 4: Therefore, the least common multiple of 9423 and 9430 is 88858890.