Least Common Multiple of 8331 and 8333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8331 and 8333 the smallest integer that is 69422223 that is divisible by both numbers.

Least Common Multiple (LCM) of 8331 and 8333 is 69422223.

LCM(8331,8333) = 69422223

LCM of 8331 and 8333

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

LCM of:
and

Least Common Multiple of 8331 and 8333

LCM of 8331 and 8333 is 69422223

Least common multiple can be found by multiplying the highest exponent prime factors of 8331 and 8333. First we will calculate the prime factors of 8331 and 8333.

Prime Factorization of 8331


3 8331
2777 2777
1

Prime factors of 8331 are 3,2777. Prime factorization of 8331 in exponential form is:

8331 = 31×27771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8331 and 8333.

LCM(8331,8333) = 31×131×6411×27771
LCM(8331,8333) = 69422223

Factors of 8331

List of positive integer factors of 8331 that divides 8331 without a remainder.

1, 3, 2777, 8331

Factors of 8333

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

1, 13, 641, 8333

Least Common Multiple of 8331 and 8333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8331 and 8333, than apply into the LCM equation.

GCF(8331,8333) = 1
LCM(8331,8333) = ( 8331 × 8333) / 1
LCM(8331,8333) = 69422223 / 1
LCM(8331,8333) = 69422223

Properties of LCM 8331 and 8333

(i) The LCM of 8333 and 8331 is associative

LCM of 8331 and 8333 = LCM of 8333 and 8331

Related Least Common Multiples of 8331

Related Least Common Multiples of 8333

Frequently Asked Questions on LCM of 8331 and 8333

1. What is the LCM of 8331 and 8333?

Answer: LCM of 8331 and 8333 is 69422223.

2. What are the Factors of 8331?

Answer: Factors of 8331 are 1, 3, 2777, 8331. There are 4 integers that are factors of 8331. The greatest factor of 8331 is 8331.

3. 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.

4. How to Find the LCM of 8331 and 8333?

Answer:

Least Common Multiple of 8331 and 8333 = 69422223

Step 1: Find the prime factorization of 8331

8331 = 3 x 2777

Step 2: Find the prime factorization of 8333

8333 = 13 x 641

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

LCM = 69422223 = 3 x 13 x 641 x 2777

Step 4: Therefore, the least common multiple of 8331 and 8333 is 69422223.