Least Common Multiple of 8331 and 8332

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 8332 the smallest integer that is 69413892 that is divisible by both numbers.

Least Common Multiple (LCM) of 8331 and 8332 is 69413892.

LCM(8331,8332) = 69413892

LCM of 8331 and 8332

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

LCM of:
and

Least Common Multiple of 8331 and 8332

LCM of 8331 and 8332 is 69413892

Least common multiple can be found by multiplying the highest exponent prime factors of 8331 and 8332. First we will calculate the prime factors of 8331 and 8332.

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 8332


2 8332
2 4166
2083 2083
1

Prime factors of 8332 are 2,2083. Prime factorization of 8332 in exponential form is:

8332 = 22×20831

Now multiplying the highest exponent prime factors to calculate the LCM of 8331 and 8332.

LCM(8331,8332) = 22×31×20831×27771
LCM(8331,8332) = 69413892

Factors of 8331

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

1, 3, 2777, 8331

Factors of 8332

List of positive integer factors of 8332 that divides 8332 without a remainder.

1, 2, 4, 2083, 4166, 8332

Least Common Multiple of 8331 and 8332 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 8332, than apply into the LCM equation.

GCF(8331,8332) = 1
LCM(8331,8332) = ( 8331 × 8332) / 1
LCM(8331,8332) = 69413892 / 1
LCM(8331,8332) = 69413892

Properties of LCM 8331 and 8332

(i) The LCM of 8332 and 8331 is associative

LCM of 8331 and 8332 = LCM of 8332 and 8331

Related Least Common Multiples of 8331

Related Least Common Multiples of 8332

Frequently Asked Questions on LCM of 8331 and 8332

1. What is the LCM of 8331 and 8332?

Answer: LCM of 8331 and 8332 is 69413892.

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 8332?

Answer: Factors of 8332 are 1, 2, 4, 2083, 4166, 8332. There are 6 integers that are factors of 8332. The greatest factor of 8332 is 8332.

4. How to Find the LCM of 8331 and 8332?

Answer:

Least Common Multiple of 8331 and 8332 = 69413892

Step 1: Find the prime factorization of 8331

8331 = 3 x 2777

Step 2: Find the prime factorization of 8332

8332 = 2 x 2 x 2083

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

LCM = 69413892 = 2 x 2 x 3 x 2083 x 2777

Step 4: Therefore, the least common multiple of 8331 and 8332 is 69413892.