Least Common Multiple of 9424 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 9424 and 9430 the smallest integer that is 44434160 that is divisible by both numbers.

Least Common Multiple (LCM) of 9424 and 9430 is 44434160.

LCM(9424,9430) = 44434160

LCM of 9424 and 9430

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

LCM of:
and

Least Common Multiple of 9424 and 9430

LCM of 9424 and 9430 is 44434160

Least common multiple can be found by multiplying the highest exponent prime factors of 9424 and 9430. First we will calculate the prime factors of 9424 and 9430.

Prime Factorization of 9424


2 9424
2 4712
2 2356
2 1178
19 589
31 31
1

Prime factors of 9424 are 2, 19,31. Prime factorization of 9424 in exponential form is:

9424 = 24×191×311

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 9424 and 9430.

LCM(9424,9430) = 24×51×191×231×311×411
LCM(9424,9430) = 44434160

Factors of 9424

List of positive integer factors of 9424 that divides 9424 without a remainder.

1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712, 9424

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 9424 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 9424 and 9430, than apply into the LCM equation.

GCF(9424,9430) = 2
LCM(9424,9430) = ( 9424 × 9430) / 2
LCM(9424,9430) = 88868320 / 2
LCM(9424,9430) = 44434160

Properties of LCM 9424 and 9430

(i) The LCM of 9430 and 9424 is associative

LCM of 9424 and 9430 = LCM of 9430 and 9424

Related Least Common Multiples of 9424

Related Least Common Multiples of 9430

Frequently Asked Questions on LCM of 9424 and 9430

1. What is the LCM of 9424 and 9430?

Answer: LCM of 9424 and 9430 is 44434160.

2. What are the Factors of 9424?

Answer: Factors of 9424 are 1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712, 9424. There are 20 integers that are factors of 9424. The greatest factor of 9424 is 9424.

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 9424 and 9430?

Answer:

Least Common Multiple of 9424 and 9430 = 44434160

Step 1: Find the prime factorization of 9424

9424 = 2 x 2 x 2 x 2 x 19 x 31

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 = 44434160 = 2 x 2 x 2 x 2 x 5 x 19 x 23 x 31 x 41

Step 4: Therefore, the least common multiple of 9424 and 9430 is 44434160.