Least Common Multiple of 9304 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 9304 and 9308 the smallest integer that is 21650408 that is divisible by both numbers.

Least Common Multiple (LCM) of 9304 and 9308 is 21650408.

LCM(9304,9308) = 21650408

LCM of 9304 and 9308

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

LCM of:
and

Least Common Multiple of 9304 and 9308

LCM of 9304 and 9308 is 21650408

Least common multiple can be found by multiplying the highest exponent prime factors of 9304 and 9308. First we will calculate the prime factors of 9304 and 9308.

Prime Factorization of 9304


2 9304
2 4652
2 2326
1163 1163
1

Prime factors of 9304 are 2,1163. Prime factorization of 9304 in exponential form is:

9304 = 23×11631

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 9304 and 9308.

LCM(9304,9308) = 23×131×1791×11631
LCM(9304,9308) = 21650408

Factors of 9304

List of positive integer factors of 9304 that divides 9304 without a remainder.

1, 2, 4, 8, 1163, 2326, 4652, 9304

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 9304 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 9304 and 9308, than apply into the LCM equation.

GCF(9304,9308) = 4
LCM(9304,9308) = ( 9304 × 9308) / 4
LCM(9304,9308) = 86601632 / 4
LCM(9304,9308) = 21650408

Properties of LCM 9304 and 9308

(i) The LCM of 9308 and 9304 is associative

LCM of 9304 and 9308 = LCM of 9308 and 9304

Related Least Common Multiples of 9304

Related Least Common Multiples of 9308

Frequently Asked Questions on LCM of 9304 and 9308

1. What is the LCM of 9304 and 9308?

Answer: LCM of 9304 and 9308 is 21650408.

2. What are the Factors of 9304?

Answer: Factors of 9304 are 1, 2, 4, 8, 1163, 2326, 4652, 9304. There are 8 integers that are factors of 9304. The greatest factor of 9304 is 9304.

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 9304 and 9308?

Answer:

Least Common Multiple of 9304 and 9308 = 21650408

Step 1: Find the prime factorization of 9304

9304 = 2 x 2 x 2 x 1163

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 = 21650408 = 2 x 2 x 2 x 13 x 179 x 1163

Step 4: Therefore, the least common multiple of 9304 and 9308 is 21650408.