Least Common Multiple of 9430 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 9430 and 9438 the smallest integer that is 44500170 that is divisible by both numbers.

Least Common Multiple (LCM) of 9430 and 9438 is 44500170.

LCM(9430,9438) = 44500170

LCM of 9430 and 9438

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

LCM of:
and

Least Common Multiple of 9430 and 9438

LCM of 9430 and 9438 is 44500170

Least common multiple can be found by multiplying the highest exponent prime factors of 9430 and 9438. First we will calculate the prime factors of 9430 and 9438.

Prime Factorization of 9430


2 9430
5 4715
23 943
41 41
1

Prime factors of 9430 are 2, 5, 23,41. Prime factorization of 9430 in exponential form is:

9430 = 21×51×231×411

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 9430 and 9438.

LCM(9430,9438) = 21×31×51×112×131×231×411
LCM(9430,9438) = 44500170

Factors of 9430

List of positive integer factors of 9430 that divides 9430 without a remainder.

1, 2, 5, 10, 23, 41, 46, 82, 115, 205, 230, 410, 943, 1886, 4715, 9430

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 9430 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 9430 and 9438, than apply into the LCM equation.

GCF(9430,9438) = 2
LCM(9430,9438) = ( 9430 × 9438) / 2
LCM(9430,9438) = 89000340 / 2
LCM(9430,9438) = 44500170

Properties of LCM 9430 and 9438

(i) The LCM of 9438 and 9430 is associative

LCM of 9430 and 9438 = LCM of 9438 and 9430

Related Least Common Multiples of 9430

Related Least Common Multiples of 9438

Frequently Asked Questions on LCM of 9430 and 9438

1. What is the LCM of 9430 and 9438?

Answer: LCM of 9430 and 9438 is 44500170.

2. What are the Factors of 9430?

Answer: Factors of 9430 are 1, 2, 5, 10, 23, 41, 46, 82, 115, 205, 230, 410, 943, 1886, 4715, 9430. There are 16 integers that are factors of 9430. The greatest factor of 9430 is 9430.

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 9430 and 9438?

Answer:

Least Common Multiple of 9430 and 9438 = 44500170

Step 1: Find the prime factorization of 9430

9430 = 2 x 5 x 23 x 41

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 = 44500170 = 2 x 3 x 5 x 11 x 11 x 13 x 23 x 41

Step 4: Therefore, the least common multiple of 9430 and 9438 is 44500170.