Least Common Multiple of 9424 and 9431

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 9431 the smallest integer that is 88877744 that is divisible by both numbers.

Least Common Multiple (LCM) of 9424 and 9431 is 88877744.

LCM(9424,9431) = 88877744

LCM of 9424 and 9431

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

LCM of:
and

Least Common Multiple of 9424 and 9431

LCM of 9424 and 9431 is 88877744

Least common multiple can be found by multiplying the highest exponent prime factors of 9424 and 9431. First we will calculate the prime factors of 9424 and 9431.

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 9431


9431 9431
1

Prime factors of 9431 are 9431. Prime factorization of 9431 in exponential form is:

9431 = 94311

Now multiplying the highest exponent prime factors to calculate the LCM of 9424 and 9431.

LCM(9424,9431) = 24×191×311×94311
LCM(9424,9431) = 88877744

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 9431

List of positive integer factors of 9431 that divides 9431 without a remainder.

1, 9431

Least Common Multiple of 9424 and 9431 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 9431, than apply into the LCM equation.

GCF(9424,9431) = 1
LCM(9424,9431) = ( 9424 × 9431) / 1
LCM(9424,9431) = 88877744 / 1
LCM(9424,9431) = 88877744

Properties of LCM 9424 and 9431

(i) The LCM of 9431 and 9424 is associative

LCM of 9424 and 9431 = LCM of 9431 and 9424

Related Least Common Multiples of 9424

Related Least Common Multiples of 9431

Frequently Asked Questions on LCM of 9424 and 9431

1. What is the LCM of 9424 and 9431?

Answer: LCM of 9424 and 9431 is 88877744.

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 9431?

Answer: Factors of 9431 are 1, 9431. There are 2 integers that are factors of 9431. The greatest factor of 9431 is 9431.

4. How to Find the LCM of 9424 and 9431?

Answer:

Least Common Multiple of 9424 and 9431 = 88877744

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 9431

9431 = 9431

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

LCM = 88877744 = 2 x 2 x 2 x 2 x 19 x 31 x 9431

Step 4: Therefore, the least common multiple of 9424 and 9431 is 88877744.