Least Common Multiple of 338 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 338 and 344 the smallest integer that is 58136 that is divisible by both numbers.

Least Common Multiple (LCM) of 338 and 344 is 58136.

LCM(338,344) = 58136

LCM of 338 and 344

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

LCM of:
and

Least Common Multiple of 338 and 344

LCM of 338 and 344 is 58136

Least common multiple can be found by multiplying the highest exponent prime factors of 338 and 344. First we will calculate the prime factors of 338 and 344.

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

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 338 and 344.

LCM(338,344) = 23×132×431
LCM(338,344) = 58136

Factors of 338

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

1, 2, 13, 26, 169, 338

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 338 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 338 and 344, than apply into the LCM equation.

GCF(338,344) = 2
LCM(338,344) = ( 338 × 344) / 2
LCM(338,344) = 116272 / 2
LCM(338,344) = 58136

Properties of LCM 338 and 344

(i) The LCM of 344 and 338 is associative

LCM of 338 and 344 = LCM of 344 and 338

Related Least Common Multiples of 338

Related Least Common Multiples of 344

Frequently Asked Questions on LCM of 338 and 344

1. What is the LCM of 338 and 344?

Answer: LCM of 338 and 344 is 58136.

2. 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.

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 338 and 344?

Answer:

Least Common Multiple of 338 and 344 = 58136

Step 1: Find the prime factorization of 338

338 = 2 x 13 x 13

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 = 58136 = 2 x 2 x 2 x 13 x 13 x 43

Step 4: Therefore, the least common multiple of 338 and 344 is 58136.