Least Common Multiple of 9424 and 9432

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 9432 the smallest integer that is 11110896 that is divisible by both numbers.

Least Common Multiple (LCM) of 9424 and 9432 is 11110896.

LCM(9424,9432) = 11110896

LCM of 9424 and 9432

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

LCM of:
and

Least Common Multiple of 9424 and 9432

LCM of 9424 and 9432 is 11110896

Least common multiple can be found by multiplying the highest exponent prime factors of 9424 and 9432. First we will calculate the prime factors of 9424 and 9432.

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 9432


2 9432
2 4716
2 2358
3 1179
3 393
131 131
1

Prime factors of 9432 are 2, 3,131. Prime factorization of 9432 in exponential form is:

9432 = 23×32×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 9424 and 9432.

LCM(9424,9432) = 24×32×191×311×1311
LCM(9424,9432) = 11110896

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 9432

List of positive integer factors of 9432 that divides 9432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 131, 262, 393, 524, 786, 1048, 1179, 1572, 2358, 3144, 4716, 9432

Least Common Multiple of 9424 and 9432 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 9432, than apply into the LCM equation.

GCF(9424,9432) = 8
LCM(9424,9432) = ( 9424 × 9432) / 8
LCM(9424,9432) = 88887168 / 8
LCM(9424,9432) = 11110896

Properties of LCM 9424 and 9432

(i) The LCM of 9432 and 9424 is associative

LCM of 9424 and 9432 = LCM of 9432 and 9424

Related Least Common Multiples of 9424

Related Least Common Multiples of 9432

Frequently Asked Questions on LCM of 9424 and 9432

1. What is the LCM of 9424 and 9432?

Answer: LCM of 9424 and 9432 is 11110896.

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 9432?

Answer: Factors of 9432 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 131, 262, 393, 524, 786, 1048, 1179, 1572, 2358, 3144, 4716, 9432. There are 24 integers that are factors of 9432. The greatest factor of 9432 is 9432.

4. How to Find the LCM of 9424 and 9432?

Answer:

Least Common Multiple of 9424 and 9432 = 11110896

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 9432

9432 = 2 x 2 x 2 x 3 x 3 x 131

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

LCM = 11110896 = 2 x 2 x 2 x 2 x 3 x 3 x 19 x 31 x 131

Step 4: Therefore, the least common multiple of 9424 and 9432 is 11110896.