Least Common Multiple of 9418 and 9424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9418 and 9424 the smallest integer that is 44377616 that is divisible by both numbers.

Least Common Multiple (LCM) of 9418 and 9424 is 44377616.

LCM(9418,9424) = 44377616

LCM of 9418 and 9424

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

LCM of:
and

Least Common Multiple of 9418 and 9424

LCM of 9418 and 9424 is 44377616

Least common multiple can be found by multiplying the highest exponent prime factors of 9418 and 9424. First we will calculate the prime factors of 9418 and 9424.

Prime Factorization of 9418


2 9418
17 4709
277 277
1

Prime factors of 9418 are 2, 17,277. Prime factorization of 9418 in exponential form is:

9418 = 21×171×2771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9418 and 9424.

LCM(9418,9424) = 24×171×191×311×2771
LCM(9418,9424) = 44377616

Factors of 9418

List of positive integer factors of 9418 that divides 9418 without a remainder.

1, 2, 17, 34, 277, 554, 4709, 9418

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

Least Common Multiple of 9418 and 9424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9418 and 9424, than apply into the LCM equation.

GCF(9418,9424) = 2
LCM(9418,9424) = ( 9418 × 9424) / 2
LCM(9418,9424) = 88755232 / 2
LCM(9418,9424) = 44377616

Properties of LCM 9418 and 9424

(i) The LCM of 9424 and 9418 is associative

LCM of 9418 and 9424 = LCM of 9424 and 9418

Related Least Common Multiples of 9418

Related Least Common Multiples of 9424

Frequently Asked Questions on LCM of 9418 and 9424

1. What is the LCM of 9418 and 9424?

Answer: LCM of 9418 and 9424 is 44377616.

2. What are the Factors of 9418?

Answer: Factors of 9418 are 1, 2, 17, 34, 277, 554, 4709, 9418. There are 8 integers that are factors of 9418. The greatest factor of 9418 is 9418.

3. 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.

4. How to Find the LCM of 9418 and 9424?

Answer:

Least Common Multiple of 9418 and 9424 = 44377616

Step 1: Find the prime factorization of 9418

9418 = 2 x 17 x 277

Step 2: Find the prime factorization of 9424

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

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

LCM = 44377616 = 2 x 2 x 2 x 2 x 17 x 19 x 31 x 277

Step 4: Therefore, the least common multiple of 9418 and 9424 is 44377616.