Least Common Multiple of 9432 and 9438

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 9438 the smallest integer that is 14836536 that is divisible by both numbers.

Least Common Multiple (LCM) of 9432 and 9438 is 14836536.

LCM(9432,9438) = 14836536

LCM of 9432 and 9438

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

LCM of:
and

Least Common Multiple of 9432 and 9438

LCM of 9432 and 9438 is 14836536

Least common multiple can be found by multiplying the highest exponent prime factors of 9432 and 9438. First we will calculate the prime factors of 9432 and 9438.

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 9438


2 9438
3 4719
11 1573
11 143
13 13
1

Prime factors of 9438 are 2, 3, 11,13. Prime factorization of 9438 in exponential form is:

9438 = 21×31×112×131

Now multiplying the highest exponent prime factors to calculate the LCM of 9432 and 9438.

LCM(9432,9438) = 23×32×112×131×1311
LCM(9432,9438) = 14836536

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 9438

List of positive integer factors of 9438 that divides 9438 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 121, 143, 242, 286, 363, 429, 726, 858, 1573, 3146, 4719, 9438

Least Common Multiple of 9432 and 9438 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 9438, than apply into the LCM equation.

GCF(9432,9438) = 6
LCM(9432,9438) = ( 9432 × 9438) / 6
LCM(9432,9438) = 89019216 / 6
LCM(9432,9438) = 14836536

Properties of LCM 9432 and 9438

(i) The LCM of 9438 and 9432 is associative

LCM of 9432 and 9438 = LCM of 9438 and 9432

Related Least Common Multiples of 9432

Related Least Common Multiples of 9438

Frequently Asked Questions on LCM of 9432 and 9438

1. What is the LCM of 9432 and 9438?

Answer: LCM of 9432 and 9438 is 14836536.

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 9438?

Answer: Factors of 9438 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 121, 143, 242, 286, 363, 429, 726, 858, 1573, 3146, 4719, 9438. There are 24 integers that are factors of 9438. The greatest factor of 9438 is 9438.

4. How to Find the LCM of 9432 and 9438?

Answer:

Least Common Multiple of 9432 and 9438 = 14836536

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 9438

9438 = 2 x 3 x 11 x 11 x 13

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

LCM = 14836536 = 2 x 2 x 2 x 3 x 3 x 11 x 11 x 13 x 131

Step 4: Therefore, the least common multiple of 9432 and 9438 is 14836536.