Least Common Multiple of 8325 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 8325 and 8332 the smallest integer that is 69363900 that is divisible by both numbers.

Least Common Multiple (LCM) of 8325 and 8332 is 69363900.

LCM(8325,8332) = 69363900

LCM of 8325 and 8332

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

LCM of:
and

Least Common Multiple of 8325 and 8332

LCM of 8325 and 8332 is 69363900

Least common multiple can be found by multiplying the highest exponent prime factors of 8325 and 8332. First we will calculate the prime factors of 8325 and 8332.

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 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 8325 and 8332.

LCM(8325,8332) = 22×32×52×371×20831
LCM(8325,8332) = 69363900

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 8332

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

1, 2, 4, 2083, 4166, 8332

Least Common Multiple of 8325 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 8325 and 8332, than apply into the LCM equation.

GCF(8325,8332) = 1
LCM(8325,8332) = ( 8325 × 8332) / 1
LCM(8325,8332) = 69363900 / 1
LCM(8325,8332) = 69363900

Properties of LCM 8325 and 8332

(i) The LCM of 8332 and 8325 is associative

LCM of 8325 and 8332 = LCM of 8332 and 8325

Related Least Common Multiples of 8325

Related Least Common Multiples of 8332

Frequently Asked Questions on LCM of 8325 and 8332

1. What is the LCM of 8325 and 8332?

Answer: LCM of 8325 and 8332 is 69363900.

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 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 8325 and 8332?

Answer:

Least Common Multiple of 8325 and 8332 = 69363900

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 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 = 69363900 = 2 x 2 x 3 x 3 x 5 x 5 x 37 x 2083

Step 4: Therefore, the least common multiple of 8325 and 8332 is 69363900.