Least Common Multiple of 336 and 338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 336 and 338 the smallest integer that is 56784 that is divisible by both numbers.

Least Common Multiple (LCM) of 336 and 338 is 56784.

LCM(336,338) = 56784

LCM of 336 and 338

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

LCM of:
and

Least Common Multiple of 336 and 338

LCM of 336 and 338 is 56784

Least common multiple can be found by multiplying the highest exponent prime factors of 336 and 338. First we will calculate the prime factors of 336 and 338.

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

Prime Factorization of 338


2 338
13 169
13 13
1

Prime factors of 338 are 2,13. Prime factorization of 338 in exponential form is:

338 = 21×132

Now multiplying the highest exponent prime factors to calculate the LCM of 336 and 338.

LCM(336,338) = 24×31×71×132
LCM(336,338) = 56784

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

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Least Common Multiple of 336 and 338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 336 and 338, than apply into the LCM equation.

GCF(336,338) = 2
LCM(336,338) = ( 336 × 338) / 2
LCM(336,338) = 113568 / 2
LCM(336,338) = 56784

Properties of LCM 336 and 338

(i) The LCM of 338 and 336 is associative

LCM of 336 and 338 = LCM of 338 and 336

Related Least Common Multiples of 336

Related Least Common Multiples of 338

Frequently Asked Questions on LCM of 336 and 338

1. What is the LCM of 336 and 338?

Answer: LCM of 336 and 338 is 56784.

2. 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.

3. What are the Factors of 338?

Answer: Factors of 338 are 1, 2, 13, 26, 169, 338. There are 6 integers that are factors of 338. The greatest factor of 338 is 338.

4. How to Find the LCM of 336 and 338?

Answer:

Least Common Multiple of 336 and 338 = 56784

Step 1: Find the prime factorization of 336

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

Step 2: Find the prime factorization of 338

338 = 2 x 13 x 13

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

LCM = 56784 = 2 x 2 x 2 x 2 x 3 x 7 x 13 x 13

Step 4: Therefore, the least common multiple of 336 and 338 is 56784.