Least Common Multiple of 322 and 327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 322 and 327 the smallest integer that is 105294 that is divisible by both numbers.

Least Common Multiple (LCM) of 322 and 327 is 105294.

LCM(322,327) = 105294

LCM of 322 and 327

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

LCM of:
and

Least Common Multiple of 322 and 327

LCM of 322 and 327 is 105294

Least common multiple can be found by multiplying the highest exponent prime factors of 322 and 327. First we will calculate the prime factors of 322 and 327.

Prime Factorization of 322


2 322
7 161
23 23
1

Prime factors of 322 are 2, 7,23. Prime factorization of 322 in exponential form is:

322 = 21×71×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 322 and 327.

LCM(322,327) = 21×31×71×231×1091
LCM(322,327) = 105294

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Factors of 327

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

1, 3, 109, 327

Least Common Multiple of 322 and 327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 322 and 327, than apply into the LCM equation.

GCF(322,327) = 1
LCM(322,327) = ( 322 × 327) / 1
LCM(322,327) = 105294 / 1
LCM(322,327) = 105294

Properties of LCM 322 and 327

(i) The LCM of 327 and 322 is associative

LCM of 322 and 327 = LCM of 327 and 322

Related Least Common Multiples of 322

Related Least Common Multiples of 327

Frequently Asked Questions on LCM of 322 and 327

1. What is the LCM of 322 and 327?

Answer: LCM of 322 and 327 is 105294.

2. What are the Factors of 322?

Answer: Factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322. There are 8 integers that are factors of 322. The greatest factor of 322 is 322.

3. 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.

4. How to Find the LCM of 322 and 327?

Answer:

Least Common Multiple of 322 and 327 = 105294

Step 1: Find the prime factorization of 322

322 = 2 x 7 x 23

Step 2: Find the prime factorization of 327

327 = 3 x 109

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

LCM = 105294 = 2 x 3 x 7 x 23 x 109

Step 4: Therefore, the least common multiple of 322 and 327 is 105294.