Least Common Multiple of 329 and 336

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 336 the smallest integer that is 15792 that is divisible by both numbers.

Least Common Multiple (LCM) of 329 and 336 is 15792.

LCM(329,336) = 15792

LCM of 329 and 336

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

LCM of:
and

Least Common Multiple of 329 and 336

LCM of 329 and 336 is 15792

Least common multiple can be found by multiplying the highest exponent prime factors of 329 and 336. First we will calculate the prime factors of 329 and 336.

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 336


2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 336 are 2, 3,7. Prime factorization of 336 in exponential form is:

336 = 24×31×71

Now multiplying the highest exponent prime factors to calculate the LCM of 329 and 336.

LCM(329,336) = 24×31×71×471
LCM(329,336) = 15792

Factors of 329

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

1, 7, 47, 329

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Least Common Multiple of 329 and 336 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 336, than apply into the LCM equation.

GCF(329,336) = 7
LCM(329,336) = ( 329 × 336) / 7
LCM(329,336) = 110544 / 7
LCM(329,336) = 15792

Properties of LCM 329 and 336

(i) The LCM of 336 and 329 is associative

LCM of 329 and 336 = LCM of 336 and 329

Related Least Common Multiples of 329

Related Least Common Multiples of 336

Frequently Asked Questions on LCM of 329 and 336

1. What is the LCM of 329 and 336?

Answer: LCM of 329 and 336 is 15792.

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 336?

Answer: Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. There are 20 integers that are factors of 336. The greatest factor of 336 is 336.

4. How to Find the LCM of 329 and 336?

Answer:

Least Common Multiple of 329 and 336 = 15792

Step 1: Find the prime factorization of 329

329 = 7 x 47

Step 2: Find the prime factorization of 336

336 = 2 x 2 x 2 x 2 x 3 x 7

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

LCM = 15792 = 2 x 2 x 2 x 2 x 3 x 7 x 47

Step 4: Therefore, the least common multiple of 329 and 336 is 15792.