Least Common Multiple of 8325 and 8330

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 8330 the smallest integer that is 13869450 that is divisible by both numbers.

Least Common Multiple (LCM) of 8325 and 8330 is 13869450.

LCM(8325,8330) = 13869450

LCM of 8325 and 8330

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

LCM of:
and

Least Common Multiple of 8325 and 8330

LCM of 8325 and 8330 is 13869450

Least common multiple can be found by multiplying the highest exponent prime factors of 8325 and 8330. First we will calculate the prime factors of 8325 and 8330.

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 8330


2 8330
5 4165
7 833
7 119
17 17
1

Prime factors of 8330 are 2, 5, 7,17. Prime factorization of 8330 in exponential form is:

8330 = 21×51×72×171

Now multiplying the highest exponent prime factors to calculate the LCM of 8325 and 8330.

LCM(8325,8330) = 21×32×52×72×171×371
LCM(8325,8330) = 13869450

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 8330

List of positive integer factors of 8330 that divides 8330 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 70, 85, 98, 119, 170, 238, 245, 490, 595, 833, 1190, 1666, 4165, 8330

Least Common Multiple of 8325 and 8330 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 8330, than apply into the LCM equation.

GCF(8325,8330) = 5
LCM(8325,8330) = ( 8325 × 8330) / 5
LCM(8325,8330) = 69347250 / 5
LCM(8325,8330) = 13869450

Properties of LCM 8325 and 8330

(i) The LCM of 8330 and 8325 is associative

LCM of 8325 and 8330 = LCM of 8330 and 8325

Related Least Common Multiples of 8325

Related Least Common Multiples of 8330

Frequently Asked Questions on LCM of 8325 and 8330

1. What is the LCM of 8325 and 8330?

Answer: LCM of 8325 and 8330 is 13869450.

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 8330?

Answer: Factors of 8330 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 70, 85, 98, 119, 170, 238, 245, 490, 595, 833, 1190, 1666, 4165, 8330. There are 24 integers that are factors of 8330. The greatest factor of 8330 is 8330.

4. How to Find the LCM of 8325 and 8330?

Answer:

Least Common Multiple of 8325 and 8330 = 13869450

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 8330

8330 = 2 x 5 x 7 x 7 x 17

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

LCM = 13869450 = 2 x 3 x 3 x 5 x 5 x 7 x 7 x 17 x 37

Step 4: Therefore, the least common multiple of 8325 and 8330 is 13869450.