Least Common Multiple of 9474 and 9482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9474 and 9482 the smallest integer that is 44916234 that is divisible by both numbers.

Least Common Multiple (LCM) of 9474 and 9482 is 44916234.

LCM(9474,9482) = 44916234

LCM of 9474 and 9482

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

LCM of:
and

Least Common Multiple of 9474 and 9482

LCM of 9474 and 9482 is 44916234

Least common multiple can be found by multiplying the highest exponent prime factors of 9474 and 9482. First we will calculate the prime factors of 9474 and 9482.

Prime Factorization of 9474


2 9474
3 4737
1579 1579
1

Prime factors of 9474 are 2, 3,1579. Prime factorization of 9474 in exponential form is:

9474 = 21×31×15791

Prime Factorization of 9482


2 9482
11 4741
431 431
1

Prime factors of 9482 are 2, 11,431. Prime factorization of 9482 in exponential form is:

9482 = 21×111×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 9474 and 9482.

LCM(9474,9482) = 21×31×111×4311×15791
LCM(9474,9482) = 44916234

Factors of 9474

List of positive integer factors of 9474 that divides 9474 without a remainder.

1, 2, 3, 6, 1579, 3158, 4737, 9474

Factors of 9482

List of positive integer factors of 9482 that divides 9482 without a remainder.

1, 2, 11, 22, 431, 862, 4741, 9482

Least Common Multiple of 9474 and 9482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9474 and 9482, than apply into the LCM equation.

GCF(9474,9482) = 2
LCM(9474,9482) = ( 9474 × 9482) / 2
LCM(9474,9482) = 89832468 / 2
LCM(9474,9482) = 44916234

Properties of LCM 9474 and 9482

(i) The LCM of 9482 and 9474 is associative

LCM of 9474 and 9482 = LCM of 9482 and 9474

Related Least Common Multiples of 9474

Related Least Common Multiples of 9482

Frequently Asked Questions on LCM of 9474 and 9482

1. What is the LCM of 9474 and 9482?

Answer: LCM of 9474 and 9482 is 44916234.

2. What are the Factors of 9474?

Answer: Factors of 9474 are 1, 2, 3, 6, 1579, 3158, 4737, 9474. There are 8 integers that are factors of 9474. The greatest factor of 9474 is 9474.

3. What are the Factors of 9482?

Answer: Factors of 9482 are 1, 2, 11, 22, 431, 862, 4741, 9482. There are 8 integers that are factors of 9482. The greatest factor of 9482 is 9482.

4. How to Find the LCM of 9474 and 9482?

Answer:

Least Common Multiple of 9474 and 9482 = 44916234

Step 1: Find the prime factorization of 9474

9474 = 2 x 3 x 1579

Step 2: Find the prime factorization of 9482

9482 = 2 x 11 x 431

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

LCM = 44916234 = 2 x 3 x 11 x 431 x 1579

Step 4: Therefore, the least common multiple of 9474 and 9482 is 44916234.