Least Common Multiple of 8327 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 8327 and 8332 the smallest integer that is 69380564 that is divisible by both numbers.

Least Common Multiple (LCM) of 8327 and 8332 is 69380564.

LCM(8327,8332) = 69380564

LCM of 8327 and 8332

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

LCM of:
and

Least Common Multiple of 8327 and 8332

LCM of 8327 and 8332 is 69380564

Least common multiple can be found by multiplying the highest exponent prime factors of 8327 and 8332. First we will calculate the prime factors of 8327 and 8332.

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 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 8327 and 8332.

LCM(8327,8332) = 22×111×7571×20831
LCM(8327,8332) = 69380564

Factors of 8327

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

1, 11, 757, 8327

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 8327 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 8327 and 8332, than apply into the LCM equation.

GCF(8327,8332) = 1
LCM(8327,8332) = ( 8327 × 8332) / 1
LCM(8327,8332) = 69380564 / 1
LCM(8327,8332) = 69380564

Properties of LCM 8327 and 8332

(i) The LCM of 8332 and 8327 is associative

LCM of 8327 and 8332 = LCM of 8332 and 8327

Related Least Common Multiples of 8327

Related Least Common Multiples of 8332

Frequently Asked Questions on LCM of 8327 and 8332

1. What is the LCM of 8327 and 8332?

Answer: LCM of 8327 and 8332 is 69380564.

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 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 8327 and 8332?

Answer:

Least Common Multiple of 8327 and 8332 = 69380564

Step 1: Find the prime factorization of 8327

8327 = 11 x 757

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 = 69380564 = 2 x 2 x 11 x 757 x 2083

Step 4: Therefore, the least common multiple of 8327 and 8332 is 69380564.