Least Common Multiple of 8313 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 8313 and 8320 the smallest integer that is 69164160 that is divisible by both numbers.

Least Common Multiple (LCM) of 8313 and 8320 is 69164160.

LCM(8313,8320) = 69164160

LCM of 8313 and 8320

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

LCM of:
and

Least Common Multiple of 8313 and 8320

LCM of 8313 and 8320 is 69164160

Least common multiple can be found by multiplying the highest exponent prime factors of 8313 and 8320. First we will calculate the prime factors of 8313 and 8320.

Prime Factorization of 8313


3 8313
17 2771
163 163
1

Prime factors of 8313 are 3, 17,163. Prime factorization of 8313 in exponential form is:

8313 = 31×171×1631

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 8313 and 8320.

LCM(8313,8320) = 27×31×51×131×171×1631
LCM(8313,8320) = 69164160

Factors of 8313

List of positive integer factors of 8313 that divides 8313 without a remainder.

1, 3, 17, 51, 163, 489, 2771, 8313

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 8313 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 8313 and 8320, than apply into the LCM equation.

GCF(8313,8320) = 1
LCM(8313,8320) = ( 8313 × 8320) / 1
LCM(8313,8320) = 69164160 / 1
LCM(8313,8320) = 69164160

Properties of LCM 8313 and 8320

(i) The LCM of 8320 and 8313 is associative

LCM of 8313 and 8320 = LCM of 8320 and 8313

Related Least Common Multiples of 8313

Related Least Common Multiples of 8320

Frequently Asked Questions on LCM of 8313 and 8320

1. What is the LCM of 8313 and 8320?

Answer: LCM of 8313 and 8320 is 69164160.

2. What are the Factors of 8313?

Answer: Factors of 8313 are 1, 3, 17, 51, 163, 489, 2771, 8313. There are 8 integers that are factors of 8313. The greatest factor of 8313 is 8313.

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 8313 and 8320?

Answer:

Least Common Multiple of 8313 and 8320 = 69164160

Step 1: Find the prime factorization of 8313

8313 = 3 x 17 x 163

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 = 69164160 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 17 x 163

Step 4: Therefore, the least common multiple of 8313 and 8320 is 69164160.