Least Common Multiple of 8316 and 8320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8316 and 8320 the smallest integer that is 17297280 that is divisible by both numbers.

Least Common Multiple (LCM) of 8316 and 8320 is 17297280.

LCM(8316,8320) = 17297280

LCM of 8316 and 8320

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

LCM of:
and

Least Common Multiple of 8316 and 8320

LCM of 8316 and 8320 is 17297280

Least common multiple can be found by multiplying the highest exponent prime factors of 8316 and 8320. First we will calculate the prime factors of 8316 and 8320.

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

Prime Factorization of 8320


2 8320
2 4160
2 2080
2 1040
2 520
2 260
2 130
5 65
13 13
1

Prime factors of 8320 are 2, 5,13. Prime factorization of 8320 in exponential form is:

8320 = 27×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 8316 and 8320.

LCM(8316,8320) = 27×33×51×71×111×131
LCM(8316,8320) = 17297280

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

Factors of 8320

List of positive integer factors of 8320 that divides 8320 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 260, 320, 416, 520, 640, 832, 1040, 1664, 2080, 4160, 8320

Least Common Multiple of 8316 and 8320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8316 and 8320, than apply into the LCM equation.

GCF(8316,8320) = 4
LCM(8316,8320) = ( 8316 × 8320) / 4
LCM(8316,8320) = 69189120 / 4
LCM(8316,8320) = 17297280

Properties of LCM 8316 and 8320

(i) The LCM of 8320 and 8316 is associative

LCM of 8316 and 8320 = LCM of 8320 and 8316

Related Least Common Multiples of 8316

Related Least Common Multiples of 8320

Frequently Asked Questions on LCM of 8316 and 8320

1. What is the LCM of 8316 and 8320?

Answer: LCM of 8316 and 8320 is 17297280.

2. 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.

3. What are the Factors of 8320?

Answer: Factors of 8320 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 260, 320, 416, 520, 640, 832, 1040, 1664, 2080, 4160, 8320. There are 32 integers that are factors of 8320. The greatest factor of 8320 is 8320.

4. How to Find the LCM of 8316 and 8320?

Answer:

Least Common Multiple of 8316 and 8320 = 17297280

Step 1: Find the prime factorization of 8316

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

Step 2: Find the prime factorization of 8320

8320 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13

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

LCM = 17297280 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 x 13

Step 4: Therefore, the least common multiple of 8316 and 8320 is 17297280.