Least Common Multiple of 326 and 329

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 329 the smallest integer that is 107254 that is divisible by both numbers.

Least Common Multiple (LCM) of 326 and 329 is 107254.

LCM(326,329) = 107254

LCM of 326 and 329

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

LCM of:
and

Least Common Multiple of 326 and 329

LCM of 326 and 329 is 107254

Least common multiple can be found by multiplying the highest exponent prime factors of 326 and 329. First we will calculate the prime factors of 326 and 329.

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 329


7 329
47 47
1

Prime factors of 329 are 7,47. Prime factorization of 329 in exponential form is:

329 = 71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 326 and 329.

LCM(326,329) = 21×71×471×1631
LCM(326,329) = 107254

Factors of 326

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

1, 2, 163, 326

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Least Common Multiple of 326 and 329 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 329, than apply into the LCM equation.

GCF(326,329) = 1
LCM(326,329) = ( 326 × 329) / 1
LCM(326,329) = 107254 / 1
LCM(326,329) = 107254

Properties of LCM 326 and 329

(i) The LCM of 329 and 326 is associative

LCM of 326 and 329 = LCM of 329 and 326

Related Least Common Multiples of 326

Related Least Common Multiples of 329

Frequently Asked Questions on LCM of 326 and 329

1. What is the LCM of 326 and 329?

Answer: LCM of 326 and 329 is 107254.

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 329?

Answer: Factors of 329 are 1, 7, 47, 329. There are 4 integers that are factors of 329. The greatest factor of 329 is 329.

4. How to Find the LCM of 326 and 329?

Answer:

Least Common Multiple of 326 and 329 = 107254

Step 1: Find the prime factorization of 326

326 = 2 x 163

Step 2: Find the prime factorization of 329

329 = 7 x 47

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

LCM = 107254 = 2 x 7 x 47 x 163

Step 4: Therefore, the least common multiple of 326 and 329 is 107254.