Least Common Multiple of 9424 and 9429

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 9429 the smallest integer that is 88858896 that is divisible by both numbers.

Least Common Multiple (LCM) of 9424 and 9429 is 88858896.

LCM(9424,9429) = 88858896

LCM of 9424 and 9429

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

LCM of:
and

Least Common Multiple of 9424 and 9429

LCM of 9424 and 9429 is 88858896

Least common multiple can be found by multiplying the highest exponent prime factors of 9424 and 9429. First we will calculate the prime factors of 9424 and 9429.

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 9429


3 9429
7 3143
449 449
1

Prime factors of 9429 are 3, 7,449. Prime factorization of 9429 in exponential form is:

9429 = 31×71×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 9424 and 9429.

LCM(9424,9429) = 24×31×71×191×311×4491
LCM(9424,9429) = 88858896

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 9429

List of positive integer factors of 9429 that divides 9429 without a remainder.

1, 3, 7, 21, 449, 1347, 3143, 9429

Least Common Multiple of 9424 and 9429 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 9429, than apply into the LCM equation.

GCF(9424,9429) = 1
LCM(9424,9429) = ( 9424 × 9429) / 1
LCM(9424,9429) = 88858896 / 1
LCM(9424,9429) = 88858896

Properties of LCM 9424 and 9429

(i) The LCM of 9429 and 9424 is associative

LCM of 9424 and 9429 = LCM of 9429 and 9424

Related Least Common Multiples of 9424

Related Least Common Multiples of 9429

Frequently Asked Questions on LCM of 9424 and 9429

1. What is the LCM of 9424 and 9429?

Answer: LCM of 9424 and 9429 is 88858896.

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 9429?

Answer: Factors of 9429 are 1, 3, 7, 21, 449, 1347, 3143, 9429. There are 8 integers that are factors of 9429. The greatest factor of 9429 is 9429.

4. How to Find the LCM of 9424 and 9429?

Answer:

Least Common Multiple of 9424 and 9429 = 88858896

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 9429

9429 = 3 x 7 x 449

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

LCM = 88858896 = 2 x 2 x 2 x 2 x 3 x 7 x 19 x 31 x 449

Step 4: Therefore, the least common multiple of 9424 and 9429 is 88858896.