Least Common Multiple of 8320 and 8328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8320 and 8328 the smallest integer that is 8661120 that is divisible by both numbers.

Least Common Multiple (LCM) of 8320 and 8328 is 8661120.

LCM(8320,8328) = 8661120

LCM of 8320 and 8328

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

LCM of:
and

Least Common Multiple of 8320 and 8328

LCM of 8320 and 8328 is 8661120

Least common multiple can be found by multiplying the highest exponent prime factors of 8320 and 8328. First we will calculate the prime factors of 8320 and 8328.

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

Prime Factorization of 8328


2 8328
2 4164
2 2082
3 1041
347 347
1

Prime factors of 8328 are 2, 3,347. Prime factorization of 8328 in exponential form is:

8328 = 23×31×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 8320 and 8328.

LCM(8320,8328) = 27×31×51×131×3471
LCM(8320,8328) = 8661120

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

Factors of 8328

List of positive integer factors of 8328 that divides 8328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 347, 694, 1041, 1388, 2082, 2776, 4164, 8328

Least Common Multiple of 8320 and 8328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8320 and 8328, than apply into the LCM equation.

GCF(8320,8328) = 8
LCM(8320,8328) = ( 8320 × 8328) / 8
LCM(8320,8328) = 69288960 / 8
LCM(8320,8328) = 8661120

Properties of LCM 8320 and 8328

(i) The LCM of 8328 and 8320 is associative

LCM of 8320 and 8328 = LCM of 8328 and 8320

Related Least Common Multiples of 8320

Related Least Common Multiples of 8328

Frequently Asked Questions on LCM of 8320 and 8328

1. What is the LCM of 8320 and 8328?

Answer: LCM of 8320 and 8328 is 8661120.

2. 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.

3. What are the Factors of 8328?

Answer: Factors of 8328 are 1, 2, 3, 4, 6, 8, 12, 24, 347, 694, 1041, 1388, 2082, 2776, 4164, 8328. There are 16 integers that are factors of 8328. The greatest factor of 8328 is 8328.

4. How to Find the LCM of 8320 and 8328?

Answer:

Least Common Multiple of 8320 and 8328 = 8661120

Step 1: 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 2: Find the prime factorization of 8328

8328 = 2 x 2 x 2 x 3 x 347

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

LCM = 8661120 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 347

Step 4: Therefore, the least common multiple of 8320 and 8328 is 8661120.