Least Common Multiple of 9424 and 9428

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 9428 the smallest integer that is 22212368 that is divisible by both numbers.

Least Common Multiple (LCM) of 9424 and 9428 is 22212368.

LCM(9424,9428) = 22212368

LCM of 9424 and 9428

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

LCM of:
and

Least Common Multiple of 9424 and 9428

LCM of 9424 and 9428 is 22212368

Least common multiple can be found by multiplying the highest exponent prime factors of 9424 and 9428. First we will calculate the prime factors of 9424 and 9428.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 9424 and 9428.

LCM(9424,9428) = 24×191×311×23571
LCM(9424,9428) = 22212368

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 9428

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

1, 2, 4, 2357, 4714, 9428

Least Common Multiple of 9424 and 9428 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 9428, than apply into the LCM equation.

GCF(9424,9428) = 4
LCM(9424,9428) = ( 9424 × 9428) / 4
LCM(9424,9428) = 88849472 / 4
LCM(9424,9428) = 22212368

Properties of LCM 9424 and 9428

(i) The LCM of 9428 and 9424 is associative

LCM of 9424 and 9428 = LCM of 9428 and 9424

Related Least Common Multiples of 9424

Related Least Common Multiples of 9428

Frequently Asked Questions on LCM of 9424 and 9428

1. What is the LCM of 9424 and 9428?

Answer: LCM of 9424 and 9428 is 22212368.

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 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.

4. How to Find the LCM of 9424 and 9428?

Answer:

Least Common Multiple of 9424 and 9428 = 22212368

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 9428

9428 = 2 x 2 x 2357

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

LCM = 22212368 = 2 x 2 x 2 x 2 x 19 x 31 x 2357

Step 4: Therefore, the least common multiple of 9424 and 9428 is 22212368.