Least Common Multiple of 8304 and 8310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8304 and 8310 the smallest integer that is 11501040 that is divisible by both numbers.

Least Common Multiple (LCM) of 8304 and 8310 is 11501040.

LCM(8304,8310) = 11501040

LCM of 8304 and 8310

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

LCM of:
and

Least Common Multiple of 8304 and 8310

LCM of 8304 and 8310 is 11501040

Least common multiple can be found by multiplying the highest exponent prime factors of 8304 and 8310. First we will calculate the prime factors of 8304 and 8310.

Prime Factorization of 8304


2 8304
2 4152
2 2076
2 1038
3 519
173 173
1

Prime factors of 8304 are 2, 3,173. Prime factorization of 8304 in exponential form is:

8304 = 24×31×1731

Prime Factorization of 8310


2 8310
3 4155
5 1385
277 277
1

Prime factors of 8310 are 2, 3, 5,277. Prime factorization of 8310 in exponential form is:

8310 = 21×31×51×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 8304 and 8310.

LCM(8304,8310) = 24×31×51×1731×2771
LCM(8304,8310) = 11501040

Factors of 8304

List of positive integer factors of 8304 that divides 8304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 8304

Factors of 8310

List of positive integer factors of 8310 that divides 8310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 277, 554, 831, 1385, 1662, 2770, 4155, 8310

Least Common Multiple of 8304 and 8310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8304 and 8310, than apply into the LCM equation.

GCF(8304,8310) = 6
LCM(8304,8310) = ( 8304 × 8310) / 6
LCM(8304,8310) = 69006240 / 6
LCM(8304,8310) = 11501040

Properties of LCM 8304 and 8310

(i) The LCM of 8310 and 8304 is associative

LCM of 8304 and 8310 = LCM of 8310 and 8304

Related Least Common Multiples of 8304

Related Least Common Multiples of 8310

Frequently Asked Questions on LCM of 8304 and 8310

1. What is the LCM of 8304 and 8310?

Answer: LCM of 8304 and 8310 is 11501040.

2. What are the Factors of 8304?

Answer: Factors of 8304 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 8304. There are 20 integers that are factors of 8304. The greatest factor of 8304 is 8304.

3. What are the Factors of 8310?

Answer: Factors of 8310 are 1, 2, 3, 5, 6, 10, 15, 30, 277, 554, 831, 1385, 1662, 2770, 4155, 8310. There are 16 integers that are factors of 8310. The greatest factor of 8310 is 8310.

4. How to Find the LCM of 8304 and 8310?

Answer:

Least Common Multiple of 8304 and 8310 = 11501040

Step 1: Find the prime factorization of 8304

8304 = 2 x 2 x 2 x 2 x 3 x 173

Step 2: Find the prime factorization of 8310

8310 = 2 x 3 x 5 x 277

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

LCM = 11501040 = 2 x 2 x 2 x 2 x 3 x 5 x 173 x 277

Step 4: Therefore, the least common multiple of 8304 and 8310 is 11501040.