Least Common Multiple of 8304 and 8311

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 8311 the smallest integer that is 69014544 that is divisible by both numbers.

Least Common Multiple (LCM) of 8304 and 8311 is 69014544.

LCM(8304,8311) = 69014544

LCM of 8304 and 8311

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

LCM of:
and

Least Common Multiple of 8304 and 8311

LCM of 8304 and 8311 is 69014544

Least common multiple can be found by multiplying the highest exponent prime factors of 8304 and 8311. First we will calculate the prime factors of 8304 and 8311.

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 8311


8311 8311
1

Prime factors of 8311 are 8311. Prime factorization of 8311 in exponential form is:

8311 = 83111

Now multiplying the highest exponent prime factors to calculate the LCM of 8304 and 8311.

LCM(8304,8311) = 24×31×1731×83111
LCM(8304,8311) = 69014544

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 8311

List of positive integer factors of 8311 that divides 8311 without a remainder.

1, 8311

Least Common Multiple of 8304 and 8311 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 8311, than apply into the LCM equation.

GCF(8304,8311) = 1
LCM(8304,8311) = ( 8304 × 8311) / 1
LCM(8304,8311) = 69014544 / 1
LCM(8304,8311) = 69014544

Properties of LCM 8304 and 8311

(i) The LCM of 8311 and 8304 is associative

LCM of 8304 and 8311 = LCM of 8311 and 8304

Related Least Common Multiples of 8304

Related Least Common Multiples of 8311

Frequently Asked Questions on LCM of 8304 and 8311

1. What is the LCM of 8304 and 8311?

Answer: LCM of 8304 and 8311 is 69014544.

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 8311?

Answer: Factors of 8311 are 1, 8311. There are 2 integers that are factors of 8311. The greatest factor of 8311 is 8311.

4. How to Find the LCM of 8304 and 8311?

Answer:

Least Common Multiple of 8304 and 8311 = 69014544

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 8311

8311 = 8311

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

LCM = 69014544 = 2 x 2 x 2 x 2 x 3 x 173 x 8311

Step 4: Therefore, the least common multiple of 8304 and 8311 is 69014544.