Least Common Multiple of 324 and 326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 324 and 326 the smallest integer that is 52812 that is divisible by both numbers.

Least Common Multiple (LCM) of 324 and 326 is 52812.

LCM(324,326) = 52812

LCM of 324 and 326

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

LCM of:
and

Least Common Multiple of 324 and 326

LCM of 324 and 326 is 52812

Least common multiple can be found by multiplying the highest exponent prime factors of 324 and 326. First we will calculate the prime factors of 324 and 326.

Prime Factorization of 324


2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 324 are 2,3. Prime factorization of 324 in exponential form is:

324 = 22×34

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

Now multiplying the highest exponent prime factors to calculate the LCM of 324 and 326.

LCM(324,326) = 22×34×1631
LCM(324,326) = 52812

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Factors of 326

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

1, 2, 163, 326

Least Common Multiple of 324 and 326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 324 and 326, than apply into the LCM equation.

GCF(324,326) = 2
LCM(324,326) = ( 324 × 326) / 2
LCM(324,326) = 105624 / 2
LCM(324,326) = 52812

Properties of LCM 324 and 326

(i) The LCM of 326 and 324 is associative

LCM of 324 and 326 = LCM of 326 and 324

Related Least Common Multiples of 324

Related Least Common Multiples of 326

Frequently Asked Questions on LCM of 324 and 326

1. What is the LCM of 324 and 326?

Answer: LCM of 324 and 326 is 52812.

2. What are the Factors of 324?

Answer: Factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324. There are 15 integers that are factors of 324. The greatest factor of 324 is 324.

3. 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.

4. How to Find the LCM of 324 and 326?

Answer:

Least Common Multiple of 324 and 326 = 52812

Step 1: Find the prime factorization of 324

324 = 2 x 2 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 326

326 = 2 x 163

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

LCM = 52812 = 2 x 2 x 3 x 3 x 3 x 3 x 163

Step 4: Therefore, the least common multiple of 324 and 326 is 52812.