Least Common Multiple of 8335 and 8341

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 8341 the smallest integer that is 69522235 that is divisible by both numbers.

Least Common Multiple (LCM) of 8335 and 8341 is 69522235.

LCM(8335,8341) = 69522235

LCM of 8335 and 8341

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

LCM of:
and

Least Common Multiple of 8335 and 8341

LCM of 8335 and 8341 is 69522235

Least common multiple can be found by multiplying the highest exponent prime factors of 8335 and 8341. First we will calculate the prime factors of 8335 and 8341.

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 8341


19 8341
439 439
1

Prime factors of 8341 are 19,439. Prime factorization of 8341 in exponential form is:

8341 = 191×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 8335 and 8341.

LCM(8335,8341) = 51×191×4391×16671
LCM(8335,8341) = 69522235

Factors of 8335

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

1, 5, 1667, 8335

Factors of 8341

List of positive integer factors of 8341 that divides 8341 without a remainder.

1, 19, 439, 8341

Least Common Multiple of 8335 and 8341 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 8341, than apply into the LCM equation.

GCF(8335,8341) = 1
LCM(8335,8341) = ( 8335 × 8341) / 1
LCM(8335,8341) = 69522235 / 1
LCM(8335,8341) = 69522235

Properties of LCM 8335 and 8341

(i) The LCM of 8341 and 8335 is associative

LCM of 8335 and 8341 = LCM of 8341 and 8335

Related Least Common Multiples of 8335

Related Least Common Multiples of 8341

Frequently Asked Questions on LCM of 8335 and 8341

1. What is the LCM of 8335 and 8341?

Answer: LCM of 8335 and 8341 is 69522235.

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 8341?

Answer: Factors of 8341 are 1, 19, 439, 8341. There are 4 integers that are factors of 8341. The greatest factor of 8341 is 8341.

4. How to Find the LCM of 8335 and 8341?

Answer:

Least Common Multiple of 8335 and 8341 = 69522235

Step 1: Find the prime factorization of 8335

8335 = 5 x 1667

Step 2: Find the prime factorization of 8341

8341 = 19 x 439

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

LCM = 69522235 = 5 x 19 x 439 x 1667

Step 4: Therefore, the least common multiple of 8335 and 8341 is 69522235.