Least Common Multiple of 8301 and 8307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8301 and 8307 the smallest integer that is 22985469 that is divisible by both numbers.

Least Common Multiple (LCM) of 8301 and 8307 is 22985469.

LCM(8301,8307) = 22985469

LCM of 8301 and 8307

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

LCM of:
and

Least Common Multiple of 8301 and 8307

LCM of 8301 and 8307 is 22985469

Least common multiple can be found by multiplying the highest exponent prime factors of 8301 and 8307. First we will calculate the prime factors of 8301 and 8307.

Prime Factorization of 8301


3 8301
2767 2767
1

Prime factors of 8301 are 3,2767. Prime factorization of 8301 in exponential form is:

8301 = 31×27671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8301 and 8307.

LCM(8301,8307) = 32×131×711×27671
LCM(8301,8307) = 22985469

Factors of 8301

List of positive integer factors of 8301 that divides 8301 without a remainder.

1, 3, 2767, 8301

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

Least Common Multiple of 8301 and 8307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8301 and 8307, than apply into the LCM equation.

GCF(8301,8307) = 3
LCM(8301,8307) = ( 8301 × 8307) / 3
LCM(8301,8307) = 68956407 / 3
LCM(8301,8307) = 22985469

Properties of LCM 8301 and 8307

(i) The LCM of 8307 and 8301 is associative

LCM of 8301 and 8307 = LCM of 8307 and 8301

Related Least Common Multiples of 8301

Related Least Common Multiples of 8307

Frequently Asked Questions on LCM of 8301 and 8307

1. What is the LCM of 8301 and 8307?

Answer: LCM of 8301 and 8307 is 22985469.

2. What are the Factors of 8301?

Answer: Factors of 8301 are 1, 3, 2767, 8301. There are 4 integers that are factors of 8301. The greatest factor of 8301 is 8301.

3. 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.

4. How to Find the LCM of 8301 and 8307?

Answer:

Least Common Multiple of 8301 and 8307 = 22985469

Step 1: Find the prime factorization of 8301

8301 = 3 x 2767

Step 2: Find the prime factorization of 8307

8307 = 3 x 3 x 13 x 71

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

LCM = 22985469 = 3 x 3 x 13 x 71 x 2767

Step 4: Therefore, the least common multiple of 8301 and 8307 is 22985469.