Least Common Multiple of 9478 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 9478 and 9482 the smallest integer that is 44935198 that is divisible by both numbers.

Least Common Multiple (LCM) of 9478 and 9482 is 44935198.

LCM(9478,9482) = 44935198

LCM of 9478 and 9482

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

LCM of:
and

Least Common Multiple of 9478 and 9482

LCM of 9478 and 9482 is 44935198

Least common multiple can be found by multiplying the highest exponent prime factors of 9478 and 9482. First we will calculate the prime factors of 9478 and 9482.

Prime Factorization of 9478


2 9478
7 4739
677 677
1

Prime factors of 9478 are 2, 7,677. Prime factorization of 9478 in exponential form is:

9478 = 21×71×6771

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 9478 and 9482.

LCM(9478,9482) = 21×71×111×4311×6771
LCM(9478,9482) = 44935198

Factors of 9478

List of positive integer factors of 9478 that divides 9478 without a remainder.

1, 2, 7, 14, 677, 1354, 4739, 9478

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 9478 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 9478 and 9482, than apply into the LCM equation.

GCF(9478,9482) = 2
LCM(9478,9482) = ( 9478 × 9482) / 2
LCM(9478,9482) = 89870396 / 2
LCM(9478,9482) = 44935198

Properties of LCM 9478 and 9482

(i) The LCM of 9482 and 9478 is associative

LCM of 9478 and 9482 = LCM of 9482 and 9478

Related Least Common Multiples of 9478

Related Least Common Multiples of 9482

Frequently Asked Questions on LCM of 9478 and 9482

1. What is the LCM of 9478 and 9482?

Answer: LCM of 9478 and 9482 is 44935198.

2. What are the Factors of 9478?

Answer: Factors of 9478 are 1, 2, 7, 14, 677, 1354, 4739, 9478. There are 8 integers that are factors of 9478. The greatest factor of 9478 is 9478.

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 9478 and 9482?

Answer:

Least Common Multiple of 9478 and 9482 = 44935198

Step 1: Find the prime factorization of 9478

9478 = 2 x 7 x 677

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 = 44935198 = 2 x 7 x 11 x 431 x 677

Step 4: Therefore, the least common multiple of 9478 and 9482 is 44935198.