Least Common Multiple of 320 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 320 and 326 the smallest integer that is 52160 that is divisible by both numbers.

Least Common Multiple (LCM) of 320 and 326 is 52160.

LCM(320,326) = 52160

LCM of 320 and 326

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

LCM of:
and

Least Common Multiple of 320 and 326

LCM of 320 and 326 is 52160

Least common multiple can be found by multiplying the highest exponent prime factors of 320 and 326. First we will calculate the prime factors of 320 and 326.

Prime Factorization of 320


2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 320 are 2,5. Prime factorization of 320 in exponential form is:

320 = 26×51

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 320 and 326.

LCM(320,326) = 26×51×1631
LCM(320,326) = 52160

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Factors of 326

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

1, 2, 163, 326

Least Common Multiple of 320 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 320 and 326, than apply into the LCM equation.

GCF(320,326) = 2
LCM(320,326) = ( 320 × 326) / 2
LCM(320,326) = 104320 / 2
LCM(320,326) = 52160

Properties of LCM 320 and 326

(i) The LCM of 326 and 320 is associative

LCM of 320 and 326 = LCM of 326 and 320

Related Least Common Multiples of 320

Related Least Common Multiples of 326

Frequently Asked Questions on LCM of 320 and 326

1. What is the LCM of 320 and 326?

Answer: LCM of 320 and 326 is 52160.

2. What are the Factors of 320?

Answer: Factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320. There are 14 integers that are factors of 320. The greatest factor of 320 is 320.

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 320 and 326?

Answer:

Least Common Multiple of 320 and 326 = 52160

Step 1: Find the prime factorization of 320

320 = 2 x 2 x 2 x 2 x 2 x 2 x 5

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 = 52160 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 163

Step 4: Therefore, the least common multiple of 320 and 326 is 52160.