Least Common Multiple of 322 and 323

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 323 the smallest integer that is 104006 that is divisible by both numbers.

Least Common Multiple (LCM) of 322 and 323 is 104006.

LCM(322,323) = 104006

LCM of 322 and 323

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

LCM of:
and

Least Common Multiple of 322 and 323

LCM of 322 and 323 is 104006

Least common multiple can be found by multiplying the highest exponent prime factors of 322 and 323. First we will calculate the prime factors of 322 and 323.

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 323


17 323
19 19
1

Prime factors of 323 are 17,19. Prime factorization of 323 in exponential form is:

323 = 171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 322 and 323.

LCM(322,323) = 21×71×171×191×231
LCM(322,323) = 104006

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 323

List of positive integer factors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Least Common Multiple of 322 and 323 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 323, than apply into the LCM equation.

GCF(322,323) = 1
LCM(322,323) = ( 322 × 323) / 1
LCM(322,323) = 104006 / 1
LCM(322,323) = 104006

Properties of LCM 322 and 323

(i) The LCM of 323 and 322 is associative

LCM of 322 and 323 = LCM of 323 and 322

Related Least Common Multiples of 322

Related Least Common Multiples of 323

Frequently Asked Questions on LCM of 322 and 323

1. What is the LCM of 322 and 323?

Answer: LCM of 322 and 323 is 104006.

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 323?

Answer: Factors of 323 are 1, 17, 19, 323. There are 4 integers that are factors of 323. The greatest factor of 323 is 323.

4. How to Find the LCM of 322 and 323?

Answer:

Least Common Multiple of 322 and 323 = 104006

Step 1: Find the prime factorization of 322

322 = 2 x 7 x 23

Step 2: Find the prime factorization of 323

323 = 17 x 19

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

LCM = 104006 = 2 x 7 x 17 x 19 x 23

Step 4: Therefore, the least common multiple of 322 and 323 is 104006.