Least Common Multiple of 9432 and 9440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9432 and 9440 the smallest integer that is 11129760 that is divisible by both numbers.

Least Common Multiple (LCM) of 9432 and 9440 is 11129760.

LCM(9432,9440) = 11129760

LCM of 9432 and 9440

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

LCM of:
and

Least Common Multiple of 9432 and 9440

LCM of 9432 and 9440 is 11129760

Least common multiple can be found by multiplying the highest exponent prime factors of 9432 and 9440. First we will calculate the prime factors of 9432 and 9440.

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

Prime Factorization of 9440


2 9440
2 4720
2 2360
2 1180
2 590
5 295
59 59
1

Prime factors of 9440 are 2, 5,59. Prime factorization of 9440 in exponential form is:

9440 = 25×51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 9432 and 9440.

LCM(9432,9440) = 25×32×51×591×1311
LCM(9432,9440) = 11129760

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

Factors of 9440

List of positive integer factors of 9440 that divides 9440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720, 9440

Least Common Multiple of 9432 and 9440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9432 and 9440, than apply into the LCM equation.

GCF(9432,9440) = 8
LCM(9432,9440) = ( 9432 × 9440) / 8
LCM(9432,9440) = 89038080 / 8
LCM(9432,9440) = 11129760

Properties of LCM 9432 and 9440

(i) The LCM of 9440 and 9432 is associative

LCM of 9432 and 9440 = LCM of 9440 and 9432

Related Least Common Multiples of 9432

Related Least Common Multiples of 9440

Frequently Asked Questions on LCM of 9432 and 9440

1. What is the LCM of 9432 and 9440?

Answer: LCM of 9432 and 9440 is 11129760.

2. 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.

3. What are the Factors of 9440?

Answer: Factors of 9440 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720, 9440. There are 24 integers that are factors of 9440. The greatest factor of 9440 is 9440.

4. How to Find the LCM of 9432 and 9440?

Answer:

Least Common Multiple of 9432 and 9440 = 11129760

Step 1: Find the prime factorization of 9432

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

Step 2: Find the prime factorization of 9440

9440 = 2 x 2 x 2 x 2 x 2 x 5 x 59

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

LCM = 11129760 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 59 x 131

Step 4: Therefore, the least common multiple of 9432 and 9440 is 11129760.