Least Common Multiple of 8333 and 8335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8333 and 8335 the smallest integer that is 69455555 that is divisible by both numbers.

Least Common Multiple (LCM) of 8333 and 8335 is 69455555.

LCM(8333,8335) = 69455555

LCM of 8333 and 8335

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

LCM of:
and

Least Common Multiple of 8333 and 8335

LCM of 8333 and 8335 is 69455555

Least common multiple can be found by multiplying the highest exponent prime factors of 8333 and 8335. First we will calculate the prime factors of 8333 and 8335.

Prime Factorization of 8333


13 8333
641 641
1

Prime factors of 8333 are 13,641. Prime factorization of 8333 in exponential form is:

8333 = 131×6411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8333 and 8335.

LCM(8333,8335) = 51×131×6411×16671
LCM(8333,8335) = 69455555

Factors of 8333

List of positive integer factors of 8333 that divides 8333 without a remainder.

1, 13, 641, 8333

Factors of 8335

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

1, 5, 1667, 8335

Least Common Multiple of 8333 and 8335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8333 and 8335, than apply into the LCM equation.

GCF(8333,8335) = 1
LCM(8333,8335) = ( 8333 × 8335) / 1
LCM(8333,8335) = 69455555 / 1
LCM(8333,8335) = 69455555

Properties of LCM 8333 and 8335

(i) The LCM of 8335 and 8333 is associative

LCM of 8333 and 8335 = LCM of 8335 and 8333

Related Least Common Multiples of 8333

Related Least Common Multiples of 8335

Frequently Asked Questions on LCM of 8333 and 8335

1. What is the LCM of 8333 and 8335?

Answer: LCM of 8333 and 8335 is 69455555.

2. What are the Factors of 8333?

Answer: Factors of 8333 are 1, 13, 641, 8333. There are 4 integers that are factors of 8333. The greatest factor of 8333 is 8333.

3. 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.

4. How to Find the LCM of 8333 and 8335?

Answer:

Least Common Multiple of 8333 and 8335 = 69455555

Step 1: Find the prime factorization of 8333

8333 = 13 x 641

Step 2: Find the prime factorization of 8335

8335 = 5 x 1667

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

LCM = 69455555 = 5 x 13 x 641 x 1667

Step 4: Therefore, the least common multiple of 8333 and 8335 is 69455555.