Least Common Multiple of 9279 and 9287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9279 and 9287 the smallest integer that is 86174073 that is divisible by both numbers.

Least Common Multiple (LCM) of 9279 and 9287 is 86174073.

LCM(9279,9287) = 86174073

LCM of 9279 and 9287

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

LCM of:
and

Least Common Multiple of 9279 and 9287

LCM of 9279 and 9287 is 86174073

Least common multiple can be found by multiplying the highest exponent prime factors of 9279 and 9287. First we will calculate the prime factors of 9279 and 9287.

Prime Factorization of 9279


3 9279
3 3093
1031 1031
1

Prime factors of 9279 are 3,1031. Prime factorization of 9279 in exponential form is:

9279 = 32×10311

Prime Factorization of 9287


37 9287
251 251
1

Prime factors of 9287 are 37,251. Prime factorization of 9287 in exponential form is:

9287 = 371×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 9279 and 9287.

LCM(9279,9287) = 32×371×2511×10311
LCM(9279,9287) = 86174073

Factors of 9279

List of positive integer factors of 9279 that divides 9279 without a remainder.

1, 3, 9, 1031, 3093, 9279

Factors of 9287

List of positive integer factors of 9287 that divides 9287 without a remainder.

1, 37, 251, 9287

Least Common Multiple of 9279 and 9287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9279 and 9287, than apply into the LCM equation.

GCF(9279,9287) = 1
LCM(9279,9287) = ( 9279 × 9287) / 1
LCM(9279,9287) = 86174073 / 1
LCM(9279,9287) = 86174073

Properties of LCM 9279 and 9287

(i) The LCM of 9287 and 9279 is associative

LCM of 9279 and 9287 = LCM of 9287 and 9279

Related Least Common Multiples of 9279

Related Least Common Multiples of 9287

Frequently Asked Questions on LCM of 9279 and 9287

1. What is the LCM of 9279 and 9287?

Answer: LCM of 9279 and 9287 is 86174073.

2. What are the Factors of 9279?

Answer: Factors of 9279 are 1, 3, 9, 1031, 3093, 9279. There are 6 integers that are factors of 9279. The greatest factor of 9279 is 9279.

3. What are the Factors of 9287?

Answer: Factors of 9287 are 1, 37, 251, 9287. There are 4 integers that are factors of 9287. The greatest factor of 9287 is 9287.

4. How to Find the LCM of 9279 and 9287?

Answer:

Least Common Multiple of 9279 and 9287 = 86174073

Step 1: Find the prime factorization of 9279

9279 = 3 x 3 x 1031

Step 2: Find the prime factorization of 9287

9287 = 37 x 251

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

LCM = 86174073 = 3 x 3 x 37 x 251 x 1031

Step 4: Therefore, the least common multiple of 9279 and 9287 is 86174073.