Least Common Multiple of 9273 and 9279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9273 and 9279 the smallest integer that is 28681389 that is divisible by both numbers.

Least Common Multiple (LCM) of 9273 and 9279 is 28681389.

LCM(9273,9279) = 28681389

LCM of 9273 and 9279

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

LCM of:
and

Least Common Multiple of 9273 and 9279

LCM of 9273 and 9279 is 28681389

Least common multiple can be found by multiplying the highest exponent prime factors of 9273 and 9279. First we will calculate the prime factors of 9273 and 9279.

Prime Factorization of 9273


3 9273
11 3091
281 281
1

Prime factors of 9273 are 3, 11,281. Prime factorization of 9273 in exponential form is:

9273 = 31×111×2811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9273 and 9279.

LCM(9273,9279) = 32×111×2811×10311
LCM(9273,9279) = 28681389

Factors of 9273

List of positive integer factors of 9273 that divides 9273 without a remainder.

1, 3, 11, 33, 281, 843, 3091, 9273

Factors of 9279

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

1, 3, 9, 1031, 3093, 9279

Least Common Multiple of 9273 and 9279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9273 and 9279, than apply into the LCM equation.

GCF(9273,9279) = 3
LCM(9273,9279) = ( 9273 × 9279) / 3
LCM(9273,9279) = 86044167 / 3
LCM(9273,9279) = 28681389

Properties of LCM 9273 and 9279

(i) The LCM of 9279 and 9273 is associative

LCM of 9273 and 9279 = LCM of 9279 and 9273

Related Least Common Multiples of 9273

Related Least Common Multiples of 9279

Frequently Asked Questions on LCM of 9273 and 9279

1. What is the LCM of 9273 and 9279?

Answer: LCM of 9273 and 9279 is 28681389.

2. What are the Factors of 9273?

Answer: Factors of 9273 are 1, 3, 11, 33, 281, 843, 3091, 9273. There are 8 integers that are factors of 9273. The greatest factor of 9273 is 9273.

3. 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.

4. How to Find the LCM of 9273 and 9279?

Answer:

Least Common Multiple of 9273 and 9279 = 28681389

Step 1: Find the prime factorization of 9273

9273 = 3 x 11 x 281

Step 2: Find the prime factorization of 9279

9279 = 3 x 3 x 1031

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

LCM = 28681389 = 3 x 3 x 11 x 281 x 1031

Step 4: Therefore, the least common multiple of 9273 and 9279 is 28681389.