Least Common Multiple of 329 and 334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 329 and 334 the smallest integer that is 109886 that is divisible by both numbers.

Least Common Multiple (LCM) of 329 and 334 is 109886.

LCM(329,334) = 109886

LCM of 329 and 334

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

LCM of:
and

Least Common Multiple of 329 and 334

LCM of 329 and 334 is 109886

Least common multiple can be found by multiplying the highest exponent prime factors of 329 and 334. First we will calculate the prime factors of 329 and 334.

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

Prime Factorization of 334


2 334
167 167
1

Prime factors of 334 are 2,167. Prime factorization of 334 in exponential form is:

334 = 21×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 329 and 334.

LCM(329,334) = 21×71×471×1671
LCM(329,334) = 109886

Factors of 329

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

1, 7, 47, 329

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Least Common Multiple of 329 and 334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 329 and 334, than apply into the LCM equation.

GCF(329,334) = 1
LCM(329,334) = ( 329 × 334) / 1
LCM(329,334) = 109886 / 1
LCM(329,334) = 109886

Properties of LCM 329 and 334

(i) The LCM of 334 and 329 is associative

LCM of 329 and 334 = LCM of 334 and 329

Related Least Common Multiples of 329

Related Least Common Multiples of 334

Frequently Asked Questions on LCM of 329 and 334

1. What is the LCM of 329 and 334?

Answer: LCM of 329 and 334 is 109886.

2. 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.

3. What are the Factors of 334?

Answer: Factors of 334 are 1, 2, 167, 334. There are 4 integers that are factors of 334. The greatest factor of 334 is 334.

4. How to Find the LCM of 329 and 334?

Answer:

Least Common Multiple of 329 and 334 = 109886

Step 1: Find the prime factorization of 329

329 = 7 x 47

Step 2: Find the prime factorization of 334

334 = 2 x 167

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

LCM = 109886 = 2 x 7 x 47 x 167

Step 4: Therefore, the least common multiple of 329 and 334 is 109886.