Least Common Multiple of 8331 and 8334

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 8334 the smallest integer that is 23143518 that is divisible by both numbers.

Least Common Multiple (LCM) of 8331 and 8334 is 23143518.

LCM(8331,8334) = 23143518

LCM of 8331 and 8334

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

LCM of:
and

Least Common Multiple of 8331 and 8334

LCM of 8331 and 8334 is 23143518

Least common multiple can be found by multiplying the highest exponent prime factors of 8331 and 8334. First we will calculate the prime factors of 8331 and 8334.

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 8334


2 8334
3 4167
3 1389
463 463
1

Prime factors of 8334 are 2, 3,463. Prime factorization of 8334 in exponential form is:

8334 = 21×32×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 8331 and 8334.

LCM(8331,8334) = 21×32×4631×27771
LCM(8331,8334) = 23143518

Factors of 8331

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

1, 3, 2777, 8331

Factors of 8334

List of positive integer factors of 8334 that divides 8334 without a remainder.

1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167, 8334

Least Common Multiple of 8331 and 8334 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 8334, than apply into the LCM equation.

GCF(8331,8334) = 3
LCM(8331,8334) = ( 8331 × 8334) / 3
LCM(8331,8334) = 69430554 / 3
LCM(8331,8334) = 23143518

Properties of LCM 8331 and 8334

(i) The LCM of 8334 and 8331 is associative

LCM of 8331 and 8334 = LCM of 8334 and 8331

Related Least Common Multiples of 8331

Related Least Common Multiples of 8334

Frequently Asked Questions on LCM of 8331 and 8334

1. What is the LCM of 8331 and 8334?

Answer: LCM of 8331 and 8334 is 23143518.

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 8334?

Answer: Factors of 8334 are 1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167, 8334. There are 12 integers that are factors of 8334. The greatest factor of 8334 is 8334.

4. How to Find the LCM of 8331 and 8334?

Answer:

Least Common Multiple of 8331 and 8334 = 23143518

Step 1: Find the prime factorization of 8331

8331 = 3 x 2777

Step 2: Find the prime factorization of 8334

8334 = 2 x 3 x 3 x 463

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

LCM = 23143518 = 2 x 3 x 3 x 463 x 2777

Step 4: Therefore, the least common multiple of 8331 and 8334 is 23143518.