Least Common Multiple of 9278 and 9284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9278 and 9284 the smallest integer that is 43068476 that is divisible by both numbers.

Least Common Multiple (LCM) of 9278 and 9284 is 43068476.

LCM(9278,9284) = 43068476

LCM of 9278 and 9284

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

LCM of:
and

Least Common Multiple of 9278 and 9284

LCM of 9278 and 9284 is 43068476

Least common multiple can be found by multiplying the highest exponent prime factors of 9278 and 9284. First we will calculate the prime factors of 9278 and 9284.

Prime Factorization of 9278


2 9278
4639 4639
1

Prime factors of 9278 are 2,4639. Prime factorization of 9278 in exponential form is:

9278 = 21×46391

Prime Factorization of 9284


2 9284
2 4642
11 2321
211 211
1

Prime factors of 9284 are 2, 11,211. Prime factorization of 9284 in exponential form is:

9284 = 22×111×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 9278 and 9284.

LCM(9278,9284) = 22×111×2111×46391
LCM(9278,9284) = 43068476

Factors of 9278

List of positive integer factors of 9278 that divides 9278 without a remainder.

1, 2, 4639, 9278

Factors of 9284

List of positive integer factors of 9284 that divides 9284 without a remainder.

1, 2, 4, 11, 22, 44, 211, 422, 844, 2321, 4642, 9284

Least Common Multiple of 9278 and 9284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9278 and 9284, than apply into the LCM equation.

GCF(9278,9284) = 2
LCM(9278,9284) = ( 9278 × 9284) / 2
LCM(9278,9284) = 86136952 / 2
LCM(9278,9284) = 43068476

Properties of LCM 9278 and 9284

(i) The LCM of 9284 and 9278 is associative

LCM of 9278 and 9284 = LCM of 9284 and 9278

Related Least Common Multiples of 9278

Related Least Common Multiples of 9284

Frequently Asked Questions on LCM of 9278 and 9284

1. What is the LCM of 9278 and 9284?

Answer: LCM of 9278 and 9284 is 43068476.

2. What are the Factors of 9278?

Answer: Factors of 9278 are 1, 2, 4639, 9278. There are 4 integers that are factors of 9278. The greatest factor of 9278 is 9278.

3. What are the Factors of 9284?

Answer: Factors of 9284 are 1, 2, 4, 11, 22, 44, 211, 422, 844, 2321, 4642, 9284. There are 12 integers that are factors of 9284. The greatest factor of 9284 is 9284.

4. How to Find the LCM of 9278 and 9284?

Answer:

Least Common Multiple of 9278 and 9284 = 43068476

Step 1: Find the prime factorization of 9278

9278 = 2 x 4639

Step 2: Find the prime factorization of 9284

9284 = 2 x 2 x 11 x 211

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

LCM = 43068476 = 2 x 2 x 11 x 211 x 4639

Step 4: Therefore, the least common multiple of 9278 and 9284 is 43068476.