Least Common Multiple of 8308 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 8308 and 8316 the smallest integer that is 17272332 that is divisible by both numbers.

Least Common Multiple (LCM) of 8308 and 8316 is 17272332.

LCM(8308,8316) = 17272332

LCM of 8308 and 8316

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

LCM of:
and

Least Common Multiple of 8308 and 8316

LCM of 8308 and 8316 is 17272332

Least common multiple can be found by multiplying the highest exponent prime factors of 8308 and 8316. First we will calculate the prime factors of 8308 and 8316.

Prime Factorization of 8308


2 8308
2 4154
31 2077
67 67
1

Prime factors of 8308 are 2, 31,67. Prime factorization of 8308 in exponential form is:

8308 = 22×311×671

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 8308 and 8316.

LCM(8308,8316) = 22×33×71×111×311×671
LCM(8308,8316) = 17272332

Factors of 8308

List of positive integer factors of 8308 that divides 8308 without a remainder.

1, 2, 4, 31, 62, 67, 124, 134, 268, 2077, 4154, 8308

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 8308 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 8308 and 8316, than apply into the LCM equation.

GCF(8308,8316) = 4
LCM(8308,8316) = ( 8308 × 8316) / 4
LCM(8308,8316) = 69089328 / 4
LCM(8308,8316) = 17272332

Properties of LCM 8308 and 8316

(i) The LCM of 8316 and 8308 is associative

LCM of 8308 and 8316 = LCM of 8316 and 8308

Related Least Common Multiples of 8308

Related Least Common Multiples of 8316

Frequently Asked Questions on LCM of 8308 and 8316

1. What is the LCM of 8308 and 8316?

Answer: LCM of 8308 and 8316 is 17272332.

2. What are the Factors of 8308?

Answer: Factors of 8308 are 1, 2, 4, 31, 62, 67, 124, 134, 268, 2077, 4154, 8308. There are 12 integers that are factors of 8308. The greatest factor of 8308 is 8308.

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 8308 and 8316?

Answer:

Least Common Multiple of 8308 and 8316 = 17272332

Step 1: Find the prime factorization of 8308

8308 = 2 x 2 x 31 x 67

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 = 17272332 = 2 x 2 x 3 x 3 x 3 x 7 x 11 x 31 x 67

Step 4: Therefore, the least common multiple of 8308 and 8316 is 17272332.