Least Common Multiple of 336 and 344

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 344 the smallest integer that is 14448 that is divisible by both numbers.

Least Common Multiple (LCM) of 336 and 344 is 14448.

LCM(336,344) = 14448

LCM of 336 and 344

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

LCM of:
and

Least Common Multiple of 336 and 344

LCM of 336 and 344 is 14448

Least common multiple can be found by multiplying the highest exponent prime factors of 336 and 344. First we will calculate the prime factors of 336 and 344.

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 344


2 344
2 172
2 86
43 43
1

Prime factors of 344 are 2,43. Prime factorization of 344 in exponential form is:

344 = 23×431

Now multiplying the highest exponent prime factors to calculate the LCM of 336 and 344.

LCM(336,344) = 24×31×71×431
LCM(336,344) = 14448

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 344

List of positive integer factors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Least Common Multiple of 336 and 344 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 344, than apply into the LCM equation.

GCF(336,344) = 8
LCM(336,344) = ( 336 × 344) / 8
LCM(336,344) = 115584 / 8
LCM(336,344) = 14448

Properties of LCM 336 and 344

(i) The LCM of 344 and 336 is associative

LCM of 336 and 344 = LCM of 344 and 336

Related Least Common Multiples of 336

Related Least Common Multiples of 344

Frequently Asked Questions on LCM of 336 and 344

1. What is the LCM of 336 and 344?

Answer: LCM of 336 and 344 is 14448.

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 344?

Answer: Factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344. There are 8 integers that are factors of 344. The greatest factor of 344 is 344.

4. How to Find the LCM of 336 and 344?

Answer:

Least Common Multiple of 336 and 344 = 14448

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 344

344 = 2 x 2 x 2 x 43

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

LCM = 14448 = 2 x 2 x 2 x 2 x 3 x 7 x 43

Step 4: Therefore, the least common multiple of 336 and 344 is 14448.