Least Common Multiple of 327 and 332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 327 and 332 the smallest integer that is 108564 that is divisible by both numbers.

Least Common Multiple (LCM) of 327 and 332 is 108564.

LCM(327,332) = 108564

LCM of 327 and 332

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

LCM of:
and

Least Common Multiple of 327 and 332

LCM of 327 and 332 is 108564

Least common multiple can be found by multiplying the highest exponent prime factors of 327 and 332. First we will calculate the prime factors of 327 and 332.

Prime Factorization of 327


3 327
109 109
1

Prime factors of 327 are 3,109. Prime factorization of 327 in exponential form is:

327 = 31×1091

Prime Factorization of 332


2 332
2 166
83 83
1

Prime factors of 332 are 2,83. Prime factorization of 332 in exponential form is:

332 = 22×831

Now multiplying the highest exponent prime factors to calculate the LCM of 327 and 332.

LCM(327,332) = 22×31×831×1091
LCM(327,332) = 108564

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Least Common Multiple of 327 and 332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 327 and 332, than apply into the LCM equation.

GCF(327,332) = 1
LCM(327,332) = ( 327 × 332) / 1
LCM(327,332) = 108564 / 1
LCM(327,332) = 108564

Properties of LCM 327 and 332

(i) The LCM of 332 and 327 is associative

LCM of 327 and 332 = LCM of 332 and 327

Related Least Common Multiples of 327

Related Least Common Multiples of 332

Frequently Asked Questions on LCM of 327 and 332

1. What is the LCM of 327 and 332?

Answer: LCM of 327 and 332 is 108564.

2. What are the Factors of 327?

Answer: Factors of 327 are 1, 3, 109, 327. There are 4 integers that are factors of 327. The greatest factor of 327 is 327.

3. What are the Factors of 332?

Answer: Factors of 332 are 1, 2, 4, 83, 166, 332. There are 6 integers that are factors of 332. The greatest factor of 332 is 332.

4. How to Find the LCM of 327 and 332?

Answer:

Least Common Multiple of 327 and 332 = 108564

Step 1: Find the prime factorization of 327

327 = 3 x 109

Step 2: Find the prime factorization of 332

332 = 2 x 2 x 83

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

LCM = 108564 = 2 x 2 x 3 x 83 x 109

Step 4: Therefore, the least common multiple of 327 and 332 is 108564.