Least Common Multiple of 8335 and 8339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8335 and 8339 the smallest integer that is 69505565 that is divisible by both numbers.

Least Common Multiple (LCM) of 8335 and 8339 is 69505565.

LCM(8335,8339) = 69505565

LCM of 8335 and 8339

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

LCM of:
and

Least Common Multiple of 8335 and 8339

LCM of 8335 and 8339 is 69505565

Least common multiple can be found by multiplying the highest exponent prime factors of 8335 and 8339. First we will calculate the prime factors of 8335 and 8339.

Prime Factorization of 8335


5 8335
1667 1667
1

Prime factors of 8335 are 5,1667. Prime factorization of 8335 in exponential form is:

8335 = 51×16671

Prime Factorization of 8339


31 8339
269 269
1

Prime factors of 8339 are 31,269. Prime factorization of 8339 in exponential form is:

8339 = 311×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 8335 and 8339.

LCM(8335,8339) = 51×311×2691×16671
LCM(8335,8339) = 69505565

Factors of 8335

List of positive integer factors of 8335 that divides 8335 without a remainder.

1, 5, 1667, 8335

Factors of 8339

List of positive integer factors of 8339 that divides 8339 without a remainder.

1, 31, 269, 8339

Least Common Multiple of 8335 and 8339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8335 and 8339, than apply into the LCM equation.

GCF(8335,8339) = 1
LCM(8335,8339) = ( 8335 × 8339) / 1
LCM(8335,8339) = 69505565 / 1
LCM(8335,8339) = 69505565

Properties of LCM 8335 and 8339

(i) The LCM of 8339 and 8335 is associative

LCM of 8335 and 8339 = LCM of 8339 and 8335

Related Least Common Multiples of 8335

Related Least Common Multiples of 8339

Frequently Asked Questions on LCM of 8335 and 8339

1. What is the LCM of 8335 and 8339?

Answer: LCM of 8335 and 8339 is 69505565.

2. What are the Factors of 8335?

Answer: Factors of 8335 are 1, 5, 1667, 8335. There are 4 integers that are factors of 8335. The greatest factor of 8335 is 8335.

3. What are the Factors of 8339?

Answer: Factors of 8339 are 1, 31, 269, 8339. There are 4 integers that are factors of 8339. The greatest factor of 8339 is 8339.

4. How to Find the LCM of 8335 and 8339?

Answer:

Least Common Multiple of 8335 and 8339 = 69505565

Step 1: Find the prime factorization of 8335

8335 = 5 x 1667

Step 2: Find the prime factorization of 8339

8339 = 31 x 269

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

LCM = 69505565 = 5 x 31 x 269 x 1667

Step 4: Therefore, the least common multiple of 8335 and 8339 is 69505565.