Least Common Multiple of 8325 and 8331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8325 and 8331 the smallest integer that is 23118525 that is divisible by both numbers.

Least Common Multiple (LCM) of 8325 and 8331 is 23118525.

LCM(8325,8331) = 23118525

LCM of 8325 and 8331

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

LCM of:
and

Least Common Multiple of 8325 and 8331

LCM of 8325 and 8331 is 23118525

Least common multiple can be found by multiplying the highest exponent prime factors of 8325 and 8331. First we will calculate the prime factors of 8325 and 8331.

Prime Factorization of 8325


3 8325
3 2775
5 925
5 185
37 37
1

Prime factors of 8325 are 3, 5,37. Prime factorization of 8325 in exponential form is:

8325 = 32×52×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8325 and 8331.

LCM(8325,8331) = 32×52×371×27771
LCM(8325,8331) = 23118525

Factors of 8325

List of positive integer factors of 8325 that divides 8325 without a remainder.

1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 185, 225, 333, 555, 925, 1665, 2775, 8325

Factors of 8331

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

1, 3, 2777, 8331

Least Common Multiple of 8325 and 8331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8325 and 8331, than apply into the LCM equation.

GCF(8325,8331) = 3
LCM(8325,8331) = ( 8325 × 8331) / 3
LCM(8325,8331) = 69355575 / 3
LCM(8325,8331) = 23118525

Properties of LCM 8325 and 8331

(i) The LCM of 8331 and 8325 is associative

LCM of 8325 and 8331 = LCM of 8331 and 8325

Related Least Common Multiples of 8325

Related Least Common Multiples of 8331

Frequently Asked Questions on LCM of 8325 and 8331

1. What is the LCM of 8325 and 8331?

Answer: LCM of 8325 and 8331 is 23118525.

2. What are the Factors of 8325?

Answer: Factors of 8325 are 1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 185, 225, 333, 555, 925, 1665, 2775, 8325. There are 18 integers that are factors of 8325. The greatest factor of 8325 is 8325.

3. 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.

4. How to Find the LCM of 8325 and 8331?

Answer:

Least Common Multiple of 8325 and 8331 = 23118525

Step 1: Find the prime factorization of 8325

8325 = 3 x 3 x 5 x 5 x 37

Step 2: Find the prime factorization of 8331

8331 = 3 x 2777

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

LCM = 23118525 = 3 x 3 x 5 x 5 x 37 x 2777

Step 4: Therefore, the least common multiple of 8325 and 8331 is 23118525.