Least Common Multiple of 9277 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 9277 and 9284 the smallest integer that is 86127668 that is divisible by both numbers.

Least Common Multiple (LCM) of 9277 and 9284 is 86127668.

LCM(9277,9284) = 86127668

LCM of 9277 and 9284

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

LCM of:
and

Least Common Multiple of 9277 and 9284

LCM of 9277 and 9284 is 86127668

Least common multiple can be found by multiplying the highest exponent prime factors of 9277 and 9284. First we will calculate the prime factors of 9277 and 9284.

Prime Factorization of 9277


9277 9277
1

Prime factors of 9277 are 9277. Prime factorization of 9277 in exponential form is:

9277 = 92771

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 9277 and 9284.

LCM(9277,9284) = 22×111×2111×92771
LCM(9277,9284) = 86127668

Factors of 9277

List of positive integer factors of 9277 that divides 9277 without a remainder.

1, 9277

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 9277 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 9277 and 9284, than apply into the LCM equation.

GCF(9277,9284) = 1
LCM(9277,9284) = ( 9277 × 9284) / 1
LCM(9277,9284) = 86127668 / 1
LCM(9277,9284) = 86127668

Properties of LCM 9277 and 9284

(i) The LCM of 9284 and 9277 is associative

LCM of 9277 and 9284 = LCM of 9284 and 9277

Related Least Common Multiples of 9277

Related Least Common Multiples of 9284

Frequently Asked Questions on LCM of 9277 and 9284

1. What is the LCM of 9277 and 9284?

Answer: LCM of 9277 and 9284 is 86127668.

2. What are the Factors of 9277?

Answer: Factors of 9277 are 1, 9277. There are 2 integers that are factors of 9277. The greatest factor of 9277 is 9277.

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 9277 and 9284?

Answer:

Least Common Multiple of 9277 and 9284 = 86127668

Step 1: Find the prime factorization of 9277

9277 = 9277

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 = 86127668 = 2 x 2 x 11 x 211 x 9277

Step 4: Therefore, the least common multiple of 9277 and 9284 is 86127668.