Least Common Multiple of 9293 and 9296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9293 and 9296 the smallest integer that is 86387728 that is divisible by both numbers.

Least Common Multiple (LCM) of 9293 and 9296 is 86387728.

LCM(9293,9296) = 86387728

LCM of 9293 and 9296

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

LCM of:
and

Least Common Multiple of 9293 and 9296

LCM of 9293 and 9296 is 86387728

Least common multiple can be found by multiplying the highest exponent prime factors of 9293 and 9296. First we will calculate the prime factors of 9293 and 9296.

Prime Factorization of 9293


9293 9293
1

Prime factors of 9293 are 9293. Prime factorization of 9293 in exponential form is:

9293 = 92931

Prime Factorization of 9296


2 9296
2 4648
2 2324
2 1162
7 581
83 83
1

Prime factors of 9296 are 2, 7,83. Prime factorization of 9296 in exponential form is:

9296 = 24×71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 9293 and 9296.

LCM(9293,9296) = 24×71×831×92931
LCM(9293,9296) = 86387728

Factors of 9293

List of positive integer factors of 9293 that divides 9293 without a remainder.

1, 9293

Factors of 9296

List of positive integer factors of 9296 that divides 9296 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 83, 112, 166, 332, 581, 664, 1162, 1328, 2324, 4648, 9296

Least Common Multiple of 9293 and 9296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9293 and 9296, than apply into the LCM equation.

GCF(9293,9296) = 1
LCM(9293,9296) = ( 9293 × 9296) / 1
LCM(9293,9296) = 86387728 / 1
LCM(9293,9296) = 86387728

Properties of LCM 9293 and 9296

(i) The LCM of 9296 and 9293 is associative

LCM of 9293 and 9296 = LCM of 9296 and 9293

Related Least Common Multiples of 9293

Related Least Common Multiples of 9296

Frequently Asked Questions on LCM of 9293 and 9296

1. What is the LCM of 9293 and 9296?

Answer: LCM of 9293 and 9296 is 86387728.

2. What are the Factors of 9293?

Answer: Factors of 9293 are 1, 9293. There are 2 integers that are factors of 9293. The greatest factor of 9293 is 9293.

3. What are the Factors of 9296?

Answer: Factors of 9296 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 83, 112, 166, 332, 581, 664, 1162, 1328, 2324, 4648, 9296. There are 20 integers that are factors of 9296. The greatest factor of 9296 is 9296.

4. How to Find the LCM of 9293 and 9296?

Answer:

Least Common Multiple of 9293 and 9296 = 86387728

Step 1: Find the prime factorization of 9293

9293 = 9293

Step 2: Find the prime factorization of 9296

9296 = 2 x 2 x 2 x 2 x 7 x 83

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

LCM = 86387728 = 2 x 2 x 2 x 2 x 7 x 83 x 9293

Step 4: Therefore, the least common multiple of 9293 and 9296 is 86387728.