Least Common Multiple of 8307 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 8307 and 8313 the smallest integer that is 23018697 that is divisible by both numbers.

Least Common Multiple (LCM) of 8307 and 8313 is 23018697.

LCM(8307,8313) = 23018697

LCM of 8307 and 8313

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

LCM of:
and

Least Common Multiple of 8307 and 8313

LCM of 8307 and 8313 is 23018697

Least common multiple can be found by multiplying the highest exponent prime factors of 8307 and 8313. First we will calculate the prime factors of 8307 and 8313.

Prime Factorization of 8307


3 8307
3 2769
13 923
71 71
1

Prime factors of 8307 are 3, 13,71. Prime factorization of 8307 in exponential form is:

8307 = 32×131×711

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 8307 and 8313.

LCM(8307,8313) = 32×131×171×711×1631
LCM(8307,8313) = 23018697

Factors of 8307

List of positive integer factors of 8307 that divides 8307 without a remainder.

1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769, 8307

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 8307 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 8307 and 8313, than apply into the LCM equation.

GCF(8307,8313) = 3
LCM(8307,8313) = ( 8307 × 8313) / 3
LCM(8307,8313) = 69056091 / 3
LCM(8307,8313) = 23018697

Properties of LCM 8307 and 8313

(i) The LCM of 8313 and 8307 is associative

LCM of 8307 and 8313 = LCM of 8313 and 8307

Related Least Common Multiples of 8307

Related Least Common Multiples of 8313

Frequently Asked Questions on LCM of 8307 and 8313

1. What is the LCM of 8307 and 8313?

Answer: LCM of 8307 and 8313 is 23018697.

2. What are the Factors of 8307?

Answer: Factors of 8307 are 1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769, 8307. There are 12 integers that are factors of 8307. The greatest factor of 8307 is 8307.

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 8307 and 8313?

Answer:

Least Common Multiple of 8307 and 8313 = 23018697

Step 1: Find the prime factorization of 8307

8307 = 3 x 3 x 13 x 71

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 = 23018697 = 3 x 3 x 13 x 17 x 71 x 163

Step 4: Therefore, the least common multiple of 8307 and 8313 is 23018697.