Least Common Multiple of 8306 and 8313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8306 and 8313 the smallest integer that is 69047778 that is divisible by both numbers.

Least Common Multiple (LCM) of 8306 and 8313 is 69047778.

LCM(8306,8313) = 69047778

LCM of 8306 and 8313

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

LCM of:
and

Least Common Multiple of 8306 and 8313

LCM of 8306 and 8313 is 69047778

Least common multiple can be found by multiplying the highest exponent prime factors of 8306 and 8313. First we will calculate the prime factors of 8306 and 8313.

Prime Factorization of 8306


2 8306
4153 4153
1

Prime factors of 8306 are 2,4153. Prime factorization of 8306 in exponential form is:

8306 = 21×41531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8306 and 8313.

LCM(8306,8313) = 21×31×171×1631×41531
LCM(8306,8313) = 69047778

Factors of 8306

List of positive integer factors of 8306 that divides 8306 without a remainder.

1, 2, 4153, 8306

Factors of 8313

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

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

Least Common Multiple of 8306 and 8313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8306 and 8313, than apply into the LCM equation.

GCF(8306,8313) = 1
LCM(8306,8313) = ( 8306 × 8313) / 1
LCM(8306,8313) = 69047778 / 1
LCM(8306,8313) = 69047778

Properties of LCM 8306 and 8313

(i) The LCM of 8313 and 8306 is associative

LCM of 8306 and 8313 = LCM of 8313 and 8306

Related Least Common Multiples of 8306

Related Least Common Multiples of 8313

Frequently Asked Questions on LCM of 8306 and 8313

1. What is the LCM of 8306 and 8313?

Answer: LCM of 8306 and 8313 is 69047778.

2. What are the Factors of 8306?

Answer: Factors of 8306 are 1, 2, 4153, 8306. There are 4 integers that are factors of 8306. The greatest factor of 8306 is 8306.

3. 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.

4. How to Find the LCM of 8306 and 8313?

Answer:

Least Common Multiple of 8306 and 8313 = 69047778

Step 1: Find the prime factorization of 8306

8306 = 2 x 4153

Step 2: Find the prime factorization of 8313

8313 = 3 x 17 x 163

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

LCM = 69047778 = 2 x 3 x 17 x 163 x 4153

Step 4: Therefore, the least common multiple of 8306 and 8313 is 69047778.