Least Common Multiple of 326 and 328

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 328 the smallest integer that is 53464 that is divisible by both numbers.

Least Common Multiple (LCM) of 326 and 328 is 53464.

LCM(326,328) = 53464

LCM of 326 and 328

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

LCM of:
and

Least Common Multiple of 326 and 328

LCM of 326 and 328 is 53464

Least common multiple can be found by multiplying the highest exponent prime factors of 326 and 328. First we will calculate the prime factors of 326 and 328.

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 328


2 328
2 164
2 82
41 41
1

Prime factors of 328 are 2,41. Prime factorization of 328 in exponential form is:

328 = 23×411

Now multiplying the highest exponent prime factors to calculate the LCM of 326 and 328.

LCM(326,328) = 23×411×1631
LCM(326,328) = 53464

Factors of 326

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

1, 2, 163, 326

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Least Common Multiple of 326 and 328 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 328, than apply into the LCM equation.

GCF(326,328) = 2
LCM(326,328) = ( 326 × 328) / 2
LCM(326,328) = 106928 / 2
LCM(326,328) = 53464

Properties of LCM 326 and 328

(i) The LCM of 328 and 326 is associative

LCM of 326 and 328 = LCM of 328 and 326

Related Least Common Multiples of 326

Related Least Common Multiples of 328

Frequently Asked Questions on LCM of 326 and 328

1. What is the LCM of 326 and 328?

Answer: LCM of 326 and 328 is 53464.

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 328?

Answer: Factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328. There are 8 integers that are factors of 328. The greatest factor of 328 is 328.

4. How to Find the LCM of 326 and 328?

Answer:

Least Common Multiple of 326 and 328 = 53464

Step 1: Find the prime factorization of 326

326 = 2 x 163

Step 2: Find the prime factorization of 328

328 = 2 x 2 x 2 x 41

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

LCM = 53464 = 2 x 2 x 2 x 41 x 163

Step 4: Therefore, the least common multiple of 326 and 328 is 53464.