Least Common Multiple of 9438 and 9444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9438 and 9444 the smallest integer that is 14855412 that is divisible by both numbers.

Least Common Multiple (LCM) of 9438 and 9444 is 14855412.

LCM(9438,9444) = 14855412

LCM of 9438 and 9444

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

LCM of:
and

Least Common Multiple of 9438 and 9444

LCM of 9438 and 9444 is 14855412

Least common multiple can be found by multiplying the highest exponent prime factors of 9438 and 9444. First we will calculate the prime factors of 9438 and 9444.

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

Prime Factorization of 9444


2 9444
2 4722
3 2361
787 787
1

Prime factors of 9444 are 2, 3,787. Prime factorization of 9444 in exponential form is:

9444 = 22×31×7871

Now multiplying the highest exponent prime factors to calculate the LCM of 9438 and 9444.

LCM(9438,9444) = 22×31×112×131×7871
LCM(9438,9444) = 14855412

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

Factors of 9444

List of positive integer factors of 9444 that divides 9444 without a remainder.

1, 2, 3, 4, 6, 12, 787, 1574, 2361, 3148, 4722, 9444

Least Common Multiple of 9438 and 9444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9438 and 9444, than apply into the LCM equation.

GCF(9438,9444) = 6
LCM(9438,9444) = ( 9438 × 9444) / 6
LCM(9438,9444) = 89132472 / 6
LCM(9438,9444) = 14855412

Properties of LCM 9438 and 9444

(i) The LCM of 9444 and 9438 is associative

LCM of 9438 and 9444 = LCM of 9444 and 9438

Related Least Common Multiples of 9438

Related Least Common Multiples of 9444

Frequently Asked Questions on LCM of 9438 and 9444

1. What is the LCM of 9438 and 9444?

Answer: LCM of 9438 and 9444 is 14855412.

2. 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.

3. What are the Factors of 9444?

Answer: Factors of 9444 are 1, 2, 3, 4, 6, 12, 787, 1574, 2361, 3148, 4722, 9444. There are 12 integers that are factors of 9444. The greatest factor of 9444 is 9444.

4. How to Find the LCM of 9438 and 9444?

Answer:

Least Common Multiple of 9438 and 9444 = 14855412

Step 1: Find the prime factorization of 9438

9438 = 2 x 3 x 11 x 11 x 13

Step 2: Find the prime factorization of 9444

9444 = 2 x 2 x 3 x 787

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

LCM = 14855412 = 2 x 2 x 3 x 11 x 11 x 13 x 787

Step 4: Therefore, the least common multiple of 9438 and 9444 is 14855412.