Least Common Multiple of 9303 and 9308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9303 and 9308 the smallest integer that is 86592324 that is divisible by both numbers.

Least Common Multiple (LCM) of 9303 and 9308 is 86592324.

LCM(9303,9308) = 86592324

LCM of 9303 and 9308

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

LCM of:
and

Least Common Multiple of 9303 and 9308

LCM of 9303 and 9308 is 86592324

Least common multiple can be found by multiplying the highest exponent prime factors of 9303 and 9308. First we will calculate the prime factors of 9303 and 9308.

Prime Factorization of 9303


3 9303
7 3101
443 443
1

Prime factors of 9303 are 3, 7,443. Prime factorization of 9303 in exponential form is:

9303 = 31×71×4431

Prime Factorization of 9308


2 9308
2 4654
13 2327
179 179
1

Prime factors of 9308 are 2, 13,179. Prime factorization of 9308 in exponential form is:

9308 = 22×131×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 9303 and 9308.

LCM(9303,9308) = 22×31×71×131×1791×4431
LCM(9303,9308) = 86592324

Factors of 9303

List of positive integer factors of 9303 that divides 9303 without a remainder.

1, 3, 7, 21, 443, 1329, 3101, 9303

Factors of 9308

List of positive integer factors of 9308 that divides 9308 without a remainder.

1, 2, 4, 13, 26, 52, 179, 358, 716, 2327, 4654, 9308

Least Common Multiple of 9303 and 9308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9303 and 9308, than apply into the LCM equation.

GCF(9303,9308) = 1
LCM(9303,9308) = ( 9303 × 9308) / 1
LCM(9303,9308) = 86592324 / 1
LCM(9303,9308) = 86592324

Properties of LCM 9303 and 9308

(i) The LCM of 9308 and 9303 is associative

LCM of 9303 and 9308 = LCM of 9308 and 9303

Related Least Common Multiples of 9303

Related Least Common Multiples of 9308

Frequently Asked Questions on LCM of 9303 and 9308

1. What is the LCM of 9303 and 9308?

Answer: LCM of 9303 and 9308 is 86592324.

2. What are the Factors of 9303?

Answer: Factors of 9303 are 1, 3, 7, 21, 443, 1329, 3101, 9303. There are 8 integers that are factors of 9303. The greatest factor of 9303 is 9303.

3. What are the Factors of 9308?

Answer: Factors of 9308 are 1, 2, 4, 13, 26, 52, 179, 358, 716, 2327, 4654, 9308. There are 12 integers that are factors of 9308. The greatest factor of 9308 is 9308.

4. How to Find the LCM of 9303 and 9308?

Answer:

Least Common Multiple of 9303 and 9308 = 86592324

Step 1: Find the prime factorization of 9303

9303 = 3 x 7 x 443

Step 2: Find the prime factorization of 9308

9308 = 2 x 2 x 13 x 179

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

LCM = 86592324 = 2 x 2 x 3 x 7 x 13 x 179 x 443

Step 4: Therefore, the least common multiple of 9303 and 9308 is 86592324.