Least Common Multiple of 9304 and 9310

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 9310 the smallest integer that is 43310120 that is divisible by both numbers.

Least Common Multiple (LCM) of 9304 and 9310 is 43310120.

LCM(9304,9310) = 43310120

LCM of 9304 and 9310

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

LCM of:
and

Least Common Multiple of 9304 and 9310

LCM of 9304 and 9310 is 43310120

Least common multiple can be found by multiplying the highest exponent prime factors of 9304 and 9310. First we will calculate the prime factors of 9304 and 9310.

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 9310


2 9310
5 4655
7 931
7 133
19 19
1

Prime factors of 9310 are 2, 5, 7,19. Prime factorization of 9310 in exponential form is:

9310 = 21×51×72×191

Now multiplying the highest exponent prime factors to calculate the LCM of 9304 and 9310.

LCM(9304,9310) = 23×51×72×191×11631
LCM(9304,9310) = 43310120

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 9310

List of positive integer factors of 9310 that divides 9310 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 490, 665, 931, 1330, 1862, 4655, 9310

Least Common Multiple of 9304 and 9310 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 9310, than apply into the LCM equation.

GCF(9304,9310) = 2
LCM(9304,9310) = ( 9304 × 9310) / 2
LCM(9304,9310) = 86620240 / 2
LCM(9304,9310) = 43310120

Properties of LCM 9304 and 9310

(i) The LCM of 9310 and 9304 is associative

LCM of 9304 and 9310 = LCM of 9310 and 9304

Related Least Common Multiples of 9304

Related Least Common Multiples of 9310

Frequently Asked Questions on LCM of 9304 and 9310

1. What is the LCM of 9304 and 9310?

Answer: LCM of 9304 and 9310 is 43310120.

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 9310?

Answer: Factors of 9310 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 490, 665, 931, 1330, 1862, 4655, 9310. There are 24 integers that are factors of 9310. The greatest factor of 9310 is 9310.

4. How to Find the LCM of 9304 and 9310?

Answer:

Least Common Multiple of 9304 and 9310 = 43310120

Step 1: Find the prime factorization of 9304

9304 = 2 x 2 x 2 x 1163

Step 2: Find the prime factorization of 9310

9310 = 2 x 5 x 7 x 7 x 19

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

LCM = 43310120 = 2 x 2 x 2 x 5 x 7 x 7 x 19 x 1163

Step 4: Therefore, the least common multiple of 9304 and 9310 is 43310120.