Least Common Multiple of 8320 and 8324

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 8324 the smallest integer that is 17313920 that is divisible by both numbers.

Least Common Multiple (LCM) of 8320 and 8324 is 17313920.

LCM(8320,8324) = 17313920

LCM of 8320 and 8324

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

LCM of:
and

Least Common Multiple of 8320 and 8324

LCM of 8320 and 8324 is 17313920

Least common multiple can be found by multiplying the highest exponent prime factors of 8320 and 8324. First we will calculate the prime factors of 8320 and 8324.

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 8324


2 8324
2 4162
2081 2081
1

Prime factors of 8324 are 2,2081. Prime factorization of 8324 in exponential form is:

8324 = 22×20811

Now multiplying the highest exponent prime factors to calculate the LCM of 8320 and 8324.

LCM(8320,8324) = 27×51×131×20811
LCM(8320,8324) = 17313920

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 8324

List of positive integer factors of 8324 that divides 8324 without a remainder.

1, 2, 4, 2081, 4162, 8324

Least Common Multiple of 8320 and 8324 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 8324, than apply into the LCM equation.

GCF(8320,8324) = 4
LCM(8320,8324) = ( 8320 × 8324) / 4
LCM(8320,8324) = 69255680 / 4
LCM(8320,8324) = 17313920

Properties of LCM 8320 and 8324

(i) The LCM of 8324 and 8320 is associative

LCM of 8320 and 8324 = LCM of 8324 and 8320

Related Least Common Multiples of 8320

Related Least Common Multiples of 8324

Frequently Asked Questions on LCM of 8320 and 8324

1. What is the LCM of 8320 and 8324?

Answer: LCM of 8320 and 8324 is 17313920.

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 8324?

Answer: Factors of 8324 are 1, 2, 4, 2081, 4162, 8324. There are 6 integers that are factors of 8324. The greatest factor of 8324 is 8324.

4. How to Find the LCM of 8320 and 8324?

Answer:

Least Common Multiple of 8320 and 8324 = 17313920

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 8324

8324 = 2 x 2 x 2081

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

LCM = 17313920 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13 x 2081

Step 4: Therefore, the least common multiple of 8320 and 8324 is 17313920.