Least Common Multiple of 328 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 328 and 336 the smallest integer that is 13776 that is divisible by both numbers.

Least Common Multiple (LCM) of 328 and 336 is 13776.

LCM(328,336) = 13776

LCM of 328 and 336

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

LCM of:
and

Least Common Multiple of 328 and 336

LCM of 328 and 336 is 13776

Least common multiple can be found by multiplying the highest exponent prime factors of 328 and 336. First we will calculate the prime factors of 328 and 336.

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

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 328 and 336.

LCM(328,336) = 24×31×71×411
LCM(328,336) = 13776

Factors of 328

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

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

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 328 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 328 and 336, than apply into the LCM equation.

GCF(328,336) = 8
LCM(328,336) = ( 328 × 336) / 8
LCM(328,336) = 110208 / 8
LCM(328,336) = 13776

Properties of LCM 328 and 336

(i) The LCM of 336 and 328 is associative

LCM of 328 and 336 = LCM of 336 and 328

Related Least Common Multiples of 328

Related Least Common Multiples of 336

Frequently Asked Questions on LCM of 328 and 336

1. What is the LCM of 328 and 336?

Answer: LCM of 328 and 336 is 13776.

2. 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.

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 328 and 336?

Answer:

Least Common Multiple of 328 and 336 = 13776

Step 1: Find the prime factorization of 328

328 = 2 x 2 x 2 x 41

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 = 13776 = 2 x 2 x 2 x 2 x 3 x 7 x 41

Step 4: Therefore, the least common multiple of 328 and 336 is 13776.