Least Common Multiple of 8327 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 8327 and 8330 the smallest integer that is 69363910 that is divisible by both numbers.

Least Common Multiple (LCM) of 8327 and 8330 is 69363910.

LCM(8327,8330) = 69363910

LCM of 8327 and 8330

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

LCM of:
and

Least Common Multiple of 8327 and 8330

LCM of 8327 and 8330 is 69363910

Least common multiple can be found by multiplying the highest exponent prime factors of 8327 and 8330. First we will calculate the prime factors of 8327 and 8330.

Prime Factorization of 8327


11 8327
757 757
1

Prime factors of 8327 are 11,757. Prime factorization of 8327 in exponential form is:

8327 = 111×7571

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 8327 and 8330.

LCM(8327,8330) = 21×51×72×111×171×7571
LCM(8327,8330) = 69363910

Factors of 8327

List of positive integer factors of 8327 that divides 8327 without a remainder.

1, 11, 757, 8327

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 8327 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 8327 and 8330, than apply into the LCM equation.

GCF(8327,8330) = 1
LCM(8327,8330) = ( 8327 × 8330) / 1
LCM(8327,8330) = 69363910 / 1
LCM(8327,8330) = 69363910

Properties of LCM 8327 and 8330

(i) The LCM of 8330 and 8327 is associative

LCM of 8327 and 8330 = LCM of 8330 and 8327

Related Least Common Multiples of 8327

Related Least Common Multiples of 8330

Frequently Asked Questions on LCM of 8327 and 8330

1. What is the LCM of 8327 and 8330?

Answer: LCM of 8327 and 8330 is 69363910.

2. What are the Factors of 8327?

Answer: Factors of 8327 are 1, 11, 757, 8327. There are 4 integers that are factors of 8327. The greatest factor of 8327 is 8327.

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 8327 and 8330?

Answer:

Least Common Multiple of 8327 and 8330 = 69363910

Step 1: Find the prime factorization of 8327

8327 = 11 x 757

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 = 69363910 = 2 x 5 x 7 x 7 x 11 x 17 x 757

Step 4: Therefore, the least common multiple of 8327 and 8330 is 69363910.