Least Common Multiple of 322 and 328

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 328 the smallest integer that is 52808 that is divisible by both numbers.

Least Common Multiple (LCM) of 322 and 328 is 52808.

LCM(322,328) = 52808

LCM of 322 and 328

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

LCM of:
and

Least Common Multiple of 322 and 328

LCM of 322 and 328 is 52808

Least common multiple can be found by multiplying the highest exponent prime factors of 322 and 328. First we will calculate the prime factors of 322 and 328.

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 328


2 328
2 164
2 82
41 41
1

Prime factors of 328 are 2,41. Prime factorization of 328 in exponential form is:

328 = 23×411

Now multiplying the highest exponent prime factors to calculate the LCM of 322 and 328.

LCM(322,328) = 23×71×231×411
LCM(322,328) = 52808

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 328

List of positive integer factors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Least Common Multiple of 322 and 328 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 328, than apply into the LCM equation.

GCF(322,328) = 2
LCM(322,328) = ( 322 × 328) / 2
LCM(322,328) = 105616 / 2
LCM(322,328) = 52808

Properties of LCM 322 and 328

(i) The LCM of 328 and 322 is associative

LCM of 322 and 328 = LCM of 328 and 322

Related Least Common Multiples of 322

Related Least Common Multiples of 328

Frequently Asked Questions on LCM of 322 and 328

1. What is the LCM of 322 and 328?

Answer: LCM of 322 and 328 is 52808.

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 328?

Answer: Factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328. There are 8 integers that are factors of 328. The greatest factor of 328 is 328.

4. How to Find the LCM of 322 and 328?

Answer:

Least Common Multiple of 322 and 328 = 52808

Step 1: Find the prime factorization of 322

322 = 2 x 7 x 23

Step 2: Find the prime factorization of 328

328 = 2 x 2 x 2 x 41

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

LCM = 52808 = 2 x 2 x 2 x 7 x 23 x 41

Step 4: Therefore, the least common multiple of 322 and 328 is 52808.