Least Common Multiple of 8311 and 8316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8311 and 8316 the smallest integer that is 69114276 that is divisible by both numbers.

Least Common Multiple (LCM) of 8311 and 8316 is 69114276.

LCM(8311,8316) = 69114276

LCM of 8311 and 8316

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

LCM of:
and

Least Common Multiple of 8311 and 8316

LCM of 8311 and 8316 is 69114276

Least common multiple can be found by multiplying the highest exponent prime factors of 8311 and 8316. First we will calculate the prime factors of 8311 and 8316.

Prime Factorization of 8311


8311 8311
1

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

8311 = 83111

Prime Factorization of 8316


2 8316
2 4158
3 2079
3 693
3 231
7 77
11 11
1

Prime factors of 8316 are 2, 3, 7,11. Prime factorization of 8316 in exponential form is:

8316 = 22×33×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 8311 and 8316.

LCM(8311,8316) = 22×33×71×111×83111
LCM(8311,8316) = 69114276

Factors of 8311

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

1, 8311

Factors of 8316

List of positive integer factors of 8316 that divides 8316 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 54, 63, 66, 77, 84, 99, 108, 126, 132, 154, 189, 198, 231, 252, 297, 308, 378, 396, 462, 594, 693, 756, 924, 1188, 1386, 2079, 2772, 4158, 8316

Least Common Multiple of 8311 and 8316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8311 and 8316, than apply into the LCM equation.

GCF(8311,8316) = 1
LCM(8311,8316) = ( 8311 × 8316) / 1
LCM(8311,8316) = 69114276 / 1
LCM(8311,8316) = 69114276

Properties of LCM 8311 and 8316

(i) The LCM of 8316 and 8311 is associative

LCM of 8311 and 8316 = LCM of 8316 and 8311

Related Least Common Multiples of 8311

Related Least Common Multiples of 8316

Frequently Asked Questions on LCM of 8311 and 8316

1. What is the LCM of 8311 and 8316?

Answer: LCM of 8311 and 8316 is 69114276.

2. 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.

3. What are the Factors of 8316?

Answer: Factors of 8316 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 54, 63, 66, 77, 84, 99, 108, 126, 132, 154, 189, 198, 231, 252, 297, 308, 378, 396, 462, 594, 693, 756, 924, 1188, 1386, 2079, 2772, 4158, 8316. There are 48 integers that are factors of 8316. The greatest factor of 8316 is 8316.

4. How to Find the LCM of 8311 and 8316?

Answer:

Least Common Multiple of 8311 and 8316 = 69114276

Step 1: Find the prime factorization of 8311

8311 = 8311

Step 2: Find the prime factorization of 8316

8316 = 2 x 2 x 3 x 3 x 3 x 7 x 11

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

LCM = 69114276 = 2 x 2 x 3 x 3 x 3 x 7 x 11 x 8311

Step 4: Therefore, the least common multiple of 8311 and 8316 is 69114276.