Least Common Multiple of 321 and 322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 321 and 322 the smallest integer that is 103362 that is divisible by both numbers.

Least Common Multiple (LCM) of 321 and 322 is 103362.

LCM(321,322) = 103362

LCM of 321 and 322

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

LCM of:
and

Least Common Multiple of 321 and 322

LCM of 321 and 322 is 103362

Least common multiple can be found by multiplying the highest exponent prime factors of 321 and 322. First we will calculate the prime factors of 321 and 322.

Prime Factorization of 321


3 321
107 107
1

Prime factors of 321 are 3,107. Prime factorization of 321 in exponential form is:

321 = 31×1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 321 and 322.

LCM(321,322) = 21×31×71×231×1071
LCM(321,322) = 103362

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Factors of 322

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

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

Least Common Multiple of 321 and 322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321 and 322, than apply into the LCM equation.

GCF(321,322) = 1
LCM(321,322) = ( 321 × 322) / 1
LCM(321,322) = 103362 / 1
LCM(321,322) = 103362

Properties of LCM 321 and 322

(i) The LCM of 322 and 321 is associative

LCM of 321 and 322 = LCM of 322 and 321

Related Least Common Multiples of 321

Related Least Common Multiples of 322

Frequently Asked Questions on LCM of 321 and 322

1. What is the LCM of 321 and 322?

Answer: LCM of 321 and 322 is 103362.

2. What are the Factors of 321?

Answer: Factors of 321 are 1, 3, 107, 321. There are 4 integers that are factors of 321. The greatest factor of 321 is 321.

3. 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.

4. How to Find the LCM of 321 and 322?

Answer:

Least Common Multiple of 321 and 322 = 103362

Step 1: Find the prime factorization of 321

321 = 3 x 107

Step 2: Find the prime factorization of 322

322 = 2 x 7 x 23

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

LCM = 103362 = 2 x 3 x 7 x 23 x 107

Step 4: Therefore, the least common multiple of 321 and 322 is 103362.