Least Common Multiple of 8331 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 8331 and 8335 the smallest integer that is 69438885 that is divisible by both numbers.

Least Common Multiple (LCM) of 8331 and 8335 is 69438885.

LCM(8331,8335) = 69438885

LCM of 8331 and 8335

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

LCM of:
and

Least Common Multiple of 8331 and 8335

LCM of 8331 and 8335 is 69438885

Least common multiple can be found by multiplying the highest exponent prime factors of 8331 and 8335. First we will calculate the prime factors of 8331 and 8335.

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 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 8331 and 8335.

LCM(8331,8335) = 31×51×16671×27771
LCM(8331,8335) = 69438885

Factors of 8331

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

1, 3, 2777, 8331

Factors of 8335

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

1, 5, 1667, 8335

Least Common Multiple of 8331 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 8331 and 8335, than apply into the LCM equation.

GCF(8331,8335) = 1
LCM(8331,8335) = ( 8331 × 8335) / 1
LCM(8331,8335) = 69438885 / 1
LCM(8331,8335) = 69438885

Properties of LCM 8331 and 8335

(i) The LCM of 8335 and 8331 is associative

LCM of 8331 and 8335 = LCM of 8335 and 8331

Related Least Common Multiples of 8331

Related Least Common Multiples of 8335

Frequently Asked Questions on LCM of 8331 and 8335

1. What is the LCM of 8331 and 8335?

Answer: LCM of 8331 and 8335 is 69438885.

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 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 8331 and 8335?

Answer:

Least Common Multiple of 8331 and 8335 = 69438885

Step 1: Find the prime factorization of 8331

8331 = 3 x 2777

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 = 69438885 = 3 x 5 x 1667 x 2777

Step 4: Therefore, the least common multiple of 8331 and 8335 is 69438885.