Least Common Multiple of 328 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 328 and 334 the smallest integer that is 54776 that is divisible by both numbers.

Least Common Multiple (LCM) of 328 and 334 is 54776.

LCM(328,334) = 54776

LCM of 328 and 334

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

LCM of:
and

Least Common Multiple of 328 and 334

LCM of 328 and 334 is 54776

Least common multiple can be found by multiplying the highest exponent prime factors of 328 and 334. First we will calculate the prime factors of 328 and 334.

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 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 328 and 334.

LCM(328,334) = 23×411×1671
LCM(328,334) = 54776

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 334

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

1, 2, 167, 334

Least Common Multiple of 328 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 328 and 334, than apply into the LCM equation.

GCF(328,334) = 2
LCM(328,334) = ( 328 × 334) / 2
LCM(328,334) = 109552 / 2
LCM(328,334) = 54776

Properties of LCM 328 and 334

(i) The LCM of 334 and 328 is associative

LCM of 328 and 334 = LCM of 334 and 328

Related Least Common Multiples of 328

Related Least Common Multiples of 334

Frequently Asked Questions on LCM of 328 and 334

1. What is the LCM of 328 and 334?

Answer: LCM of 328 and 334 is 54776.

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 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 328 and 334?

Answer:

Least Common Multiple of 328 and 334 = 54776

Step 1: Find the prime factorization of 328

328 = 2 x 2 x 2 x 41

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 = 54776 = 2 x 2 x 2 x 41 x 167

Step 4: Therefore, the least common multiple of 328 and 334 is 54776.