Least Common Multiple of 326 and 333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 326 and 333 the smallest integer that is 108558 that is divisible by both numbers.

Least Common Multiple (LCM) of 326 and 333 is 108558.

LCM(326,333) = 108558

LCM of 326 and 333

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

LCM of:
and

Least Common Multiple of 326 and 333

LCM of 326 and 333 is 108558

Least common multiple can be found by multiplying the highest exponent prime factors of 326 and 333. First we will calculate the prime factors of 326 and 333.

Prime Factorization of 326


2 326
163 163
1

Prime factors of 326 are 2,163. Prime factorization of 326 in exponential form is:

326 = 21×1631

Prime Factorization of 333


3 333
3 111
37 37
1

Prime factors of 333 are 3,37. Prime factorization of 333 in exponential form is:

333 = 32×371

Now multiplying the highest exponent prime factors to calculate the LCM of 326 and 333.

LCM(326,333) = 21×32×371×1631
LCM(326,333) = 108558

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Least Common Multiple of 326 and 333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 326 and 333, than apply into the LCM equation.

GCF(326,333) = 1
LCM(326,333) = ( 326 × 333) / 1
LCM(326,333) = 108558 / 1
LCM(326,333) = 108558

Properties of LCM 326 and 333

(i) The LCM of 333 and 326 is associative

LCM of 326 and 333 = LCM of 333 and 326

Related Least Common Multiples of 326

Related Least Common Multiples of 333

Frequently Asked Questions on LCM of 326 and 333

1. What is the LCM of 326 and 333?

Answer: LCM of 326 and 333 is 108558.

2. What are the Factors of 326?

Answer: Factors of 326 are 1, 2, 163, 326. There are 4 integers that are factors of 326. The greatest factor of 326 is 326.

3. What are the Factors of 333?

Answer: Factors of 333 are 1, 3, 9, 37, 111, 333. There are 6 integers that are factors of 333. The greatest factor of 333 is 333.

4. How to Find the LCM of 326 and 333?

Answer:

Least Common Multiple of 326 and 333 = 108558

Step 1: Find the prime factorization of 326

326 = 2 x 163

Step 2: Find the prime factorization of 333

333 = 3 x 3 x 37

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

LCM = 108558 = 2 x 3 x 3 x 37 x 163

Step 4: Therefore, the least common multiple of 326 and 333 is 108558.