Least Common Multiple of 8345 and 8349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8345 and 8349 the smallest integer that is 69672405 that is divisible by both numbers.

Least Common Multiple (LCM) of 8345 and 8349 is 69672405.

LCM(8345,8349) = 69672405

LCM of 8345 and 8349

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

LCM of:
and

Least Common Multiple of 8345 and 8349

LCM of 8345 and 8349 is 69672405

Least common multiple can be found by multiplying the highest exponent prime factors of 8345 and 8349. First we will calculate the prime factors of 8345 and 8349.

Prime Factorization of 8345


5 8345
1669 1669
1

Prime factors of 8345 are 5,1669. Prime factorization of 8345 in exponential form is:

8345 = 51×16691

Prime Factorization of 8349


3 8349
11 2783
11 253
23 23
1

Prime factors of 8349 are 3, 11,23. Prime factorization of 8349 in exponential form is:

8349 = 31×112×231

Now multiplying the highest exponent prime factors to calculate the LCM of 8345 and 8349.

LCM(8345,8349) = 31×51×112×231×16691
LCM(8345,8349) = 69672405

Factors of 8345

List of positive integer factors of 8345 that divides 8345 without a remainder.

1, 5, 1669, 8345

Factors of 8349

List of positive integer factors of 8349 that divides 8349 without a remainder.

1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783, 8349

Least Common Multiple of 8345 and 8349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8345 and 8349, than apply into the LCM equation.

GCF(8345,8349) = 1
LCM(8345,8349) = ( 8345 × 8349) / 1
LCM(8345,8349) = 69672405 / 1
LCM(8345,8349) = 69672405

Properties of LCM 8345 and 8349

(i) The LCM of 8349 and 8345 is associative

LCM of 8345 and 8349 = LCM of 8349 and 8345

Related Least Common Multiples of 8345

Related Least Common Multiples of 8349

Frequently Asked Questions on LCM of 8345 and 8349

1. What is the LCM of 8345 and 8349?

Answer: LCM of 8345 and 8349 is 69672405.

2. What are the Factors of 8345?

Answer: Factors of 8345 are 1, 5, 1669, 8345. There are 4 integers that are factors of 8345. The greatest factor of 8345 is 8345.

3. What are the Factors of 8349?

Answer: Factors of 8349 are 1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783, 8349. There are 12 integers that are factors of 8349. The greatest factor of 8349 is 8349.

4. How to Find the LCM of 8345 and 8349?

Answer:

Least Common Multiple of 8345 and 8349 = 69672405

Step 1: Find the prime factorization of 8345

8345 = 5 x 1669

Step 2: Find the prime factorization of 8349

8349 = 3 x 11 x 11 x 23

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

LCM = 69672405 = 3 x 5 x 11 x 11 x 23 x 1669

Step 4: Therefore, the least common multiple of 8345 and 8349 is 69672405.