Least Common Multiple of 322 and 324

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 324 the smallest integer that is 52164 that is divisible by both numbers.

Least Common Multiple (LCM) of 322 and 324 is 52164.

LCM(322,324) = 52164

LCM of 322 and 324

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

LCM of:
and

Least Common Multiple of 322 and 324

LCM of 322 and 324 is 52164

Least common multiple can be found by multiplying the highest exponent prime factors of 322 and 324. First we will calculate the prime factors of 322 and 324.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 322 and 324.

LCM(322,324) = 22×34×71×231
LCM(322,324) = 52164

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 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

Least Common Multiple of 322 and 324 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 324, than apply into the LCM equation.

GCF(322,324) = 2
LCM(322,324) = ( 322 × 324) / 2
LCM(322,324) = 104328 / 2
LCM(322,324) = 52164

Properties of LCM 322 and 324

(i) The LCM of 324 and 322 is associative

LCM of 322 and 324 = LCM of 324 and 322

Related Least Common Multiples of 322

Related Least Common Multiples of 324

Frequently Asked Questions on LCM of 322 and 324

1. What is the LCM of 322 and 324?

Answer: LCM of 322 and 324 is 52164.

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 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.

4. How to Find the LCM of 322 and 324?

Answer:

Least Common Multiple of 322 and 324 = 52164

Step 1: Find the prime factorization of 322

322 = 2 x 7 x 23

Step 2: Find the prime factorization of 324

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

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

LCM = 52164 = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 23

Step 4: Therefore, the least common multiple of 322 and 324 is 52164.