Least Common Multiple of 8333 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 8333 and 8341 the smallest integer that is 69505553 that is divisible by both numbers.

Least Common Multiple (LCM) of 8333 and 8341 is 69505553.

LCM(8333,8341) = 69505553

LCM of 8333 and 8341

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

LCM of:
and

Least Common Multiple of 8333 and 8341

LCM of 8333 and 8341 is 69505553

Least common multiple can be found by multiplying the highest exponent prime factors of 8333 and 8341. First we will calculate the prime factors of 8333 and 8341.

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 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 8333 and 8341.

LCM(8333,8341) = 131×191×4391×6411
LCM(8333,8341) = 69505553

Factors of 8333

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

1, 13, 641, 8333

Factors of 8341

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

1, 19, 439, 8341

Least Common Multiple of 8333 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 8333 and 8341, than apply into the LCM equation.

GCF(8333,8341) = 1
LCM(8333,8341) = ( 8333 × 8341) / 1
LCM(8333,8341) = 69505553 / 1
LCM(8333,8341) = 69505553

Properties of LCM 8333 and 8341

(i) The LCM of 8341 and 8333 is associative

LCM of 8333 and 8341 = LCM of 8341 and 8333

Related Least Common Multiples of 8333

Related Least Common Multiples of 8341

Frequently Asked Questions on LCM of 8333 and 8341

1. What is the LCM of 8333 and 8341?

Answer: LCM of 8333 and 8341 is 69505553.

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 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 8333 and 8341?

Answer:

Least Common Multiple of 8333 and 8341 = 69505553

Step 1: Find the prime factorization of 8333

8333 = 13 x 641

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 = 69505553 = 13 x 19 x 439 x 641

Step 4: Therefore, the least common multiple of 8333 and 8341 is 69505553.