Least Common Multiple of 9438 and 9446

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 9446 the smallest integer that is 44575674 that is divisible by both numbers.

Least Common Multiple (LCM) of 9438 and 9446 is 44575674.

LCM(9438,9446) = 44575674

LCM of 9438 and 9446

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

LCM of:
and

Least Common Multiple of 9438 and 9446

LCM of 9438 and 9446 is 44575674

Least common multiple can be found by multiplying the highest exponent prime factors of 9438 and 9446. First we will calculate the prime factors of 9438 and 9446.

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 9446


2 9446
4723 4723
1

Prime factors of 9446 are 2,4723. Prime factorization of 9446 in exponential form is:

9446 = 21×47231

Now multiplying the highest exponent prime factors to calculate the LCM of 9438 and 9446.

LCM(9438,9446) = 21×31×112×131×47231
LCM(9438,9446) = 44575674

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 9446

List of positive integer factors of 9446 that divides 9446 without a remainder.

1, 2, 4723, 9446

Least Common Multiple of 9438 and 9446 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 9446, than apply into the LCM equation.

GCF(9438,9446) = 2
LCM(9438,9446) = ( 9438 × 9446) / 2
LCM(9438,9446) = 89151348 / 2
LCM(9438,9446) = 44575674

Properties of LCM 9438 and 9446

(i) The LCM of 9446 and 9438 is associative

LCM of 9438 and 9446 = LCM of 9446 and 9438

Related Least Common Multiples of 9438

Related Least Common Multiples of 9446

Frequently Asked Questions on LCM of 9438 and 9446

1. What is the LCM of 9438 and 9446?

Answer: LCM of 9438 and 9446 is 44575674.

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 9446?

Answer: Factors of 9446 are 1, 2, 4723, 9446. There are 4 integers that are factors of 9446. The greatest factor of 9446 is 9446.

4. How to Find the LCM of 9438 and 9446?

Answer:

Least Common Multiple of 9438 and 9446 = 44575674

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 9446

9446 = 2 x 4723

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

LCM = 44575674 = 2 x 3 x 11 x 11 x 13 x 4723

Step 4: Therefore, the least common multiple of 9438 and 9446 is 44575674.