Least Common Multiple of 9438 and 9442

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 9442 the smallest integer that is 44556798 that is divisible by both numbers.

Least Common Multiple (LCM) of 9438 and 9442 is 44556798.

LCM(9438,9442) = 44556798

LCM of 9438 and 9442

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

LCM of:
and

Least Common Multiple of 9438 and 9442

LCM of 9438 and 9442 is 44556798

Least common multiple can be found by multiplying the highest exponent prime factors of 9438 and 9442. First we will calculate the prime factors of 9438 and 9442.

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 9442


2 9442
4721 4721
1

Prime factors of 9442 are 2,4721. Prime factorization of 9442 in exponential form is:

9442 = 21×47211

Now multiplying the highest exponent prime factors to calculate the LCM of 9438 and 9442.

LCM(9438,9442) = 21×31×112×131×47211
LCM(9438,9442) = 44556798

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 9442

List of positive integer factors of 9442 that divides 9442 without a remainder.

1, 2, 4721, 9442

Least Common Multiple of 9438 and 9442 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 9442, than apply into the LCM equation.

GCF(9438,9442) = 2
LCM(9438,9442) = ( 9438 × 9442) / 2
LCM(9438,9442) = 89113596 / 2
LCM(9438,9442) = 44556798

Properties of LCM 9438 and 9442

(i) The LCM of 9442 and 9438 is associative

LCM of 9438 and 9442 = LCM of 9442 and 9438

Related Least Common Multiples of 9438

Related Least Common Multiples of 9442

Frequently Asked Questions on LCM of 9438 and 9442

1. What is the LCM of 9438 and 9442?

Answer: LCM of 9438 and 9442 is 44556798.

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 9442?

Answer: Factors of 9442 are 1, 2, 4721, 9442. There are 4 integers that are factors of 9442. The greatest factor of 9442 is 9442.

4. How to Find the LCM of 9438 and 9442?

Answer:

Least Common Multiple of 9438 and 9442 = 44556798

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 9442

9442 = 2 x 4721

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

LCM = 44556798 = 2 x 3 x 11 x 11 x 13 x 4721

Step 4: Therefore, the least common multiple of 9438 and 9442 is 44556798.