Least Common Multiple of 8324 and 8325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8324 and 8325 the smallest integer that is 69297300 that is divisible by both numbers.

Least Common Multiple (LCM) of 8324 and 8325 is 69297300.

LCM(8324,8325) = 69297300

LCM of 8324 and 8325

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

LCM of:
and

Least Common Multiple of 8324 and 8325

LCM of 8324 and 8325 is 69297300

Least common multiple can be found by multiplying the highest exponent prime factors of 8324 and 8325. First we will calculate the prime factors of 8324 and 8325.

Prime Factorization of 8324


2 8324
2 4162
2081 2081
1

Prime factors of 8324 are 2,2081. Prime factorization of 8324 in exponential form is:

8324 = 22×20811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8324 and 8325.

LCM(8324,8325) = 22×32×52×371×20811
LCM(8324,8325) = 69297300

Factors of 8324

List of positive integer factors of 8324 that divides 8324 without a remainder.

1, 2, 4, 2081, 4162, 8324

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

Least Common Multiple of 8324 and 8325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8324 and 8325, than apply into the LCM equation.

GCF(8324,8325) = 1
LCM(8324,8325) = ( 8324 × 8325) / 1
LCM(8324,8325) = 69297300 / 1
LCM(8324,8325) = 69297300

Properties of LCM 8324 and 8325

(i) The LCM of 8325 and 8324 is associative

LCM of 8324 and 8325 = LCM of 8325 and 8324

Related Least Common Multiples of 8324

Related Least Common Multiples of 8325

Frequently Asked Questions on LCM of 8324 and 8325

1. What is the LCM of 8324 and 8325?

Answer: LCM of 8324 and 8325 is 69297300.

2. What are the Factors of 8324?

Answer: Factors of 8324 are 1, 2, 4, 2081, 4162, 8324. There are 6 integers that are factors of 8324. The greatest factor of 8324 is 8324.

3. 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.

4. How to Find the LCM of 8324 and 8325?

Answer:

Least Common Multiple of 8324 and 8325 = 69297300

Step 1: Find the prime factorization of 8324

8324 = 2 x 2 x 2081

Step 2: Find the prime factorization of 8325

8325 = 3 x 3 x 5 x 5 x 37

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

LCM = 69297300 = 2 x 2 x 3 x 3 x 5 x 5 x 37 x 2081

Step 4: Therefore, the least common multiple of 8324 and 8325 is 69297300.