Least Common Multiple of 338 and 339

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 339 the smallest integer that is 114582 that is divisible by both numbers.

Least Common Multiple (LCM) of 338 and 339 is 114582.

LCM(338,339) = 114582

LCM of 338 and 339

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

LCM of:
and

Least Common Multiple of 338 and 339

LCM of 338 and 339 is 114582

Least common multiple can be found by multiplying the highest exponent prime factors of 338 and 339. First we will calculate the prime factors of 338 and 339.

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 339


3 339
113 113
1

Prime factors of 339 are 3,113. Prime factorization of 339 in exponential form is:

339 = 31×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 338 and 339.

LCM(338,339) = 21×31×132×1131
LCM(338,339) = 114582

Factors of 338

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

1, 2, 13, 26, 169, 338

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Least Common Multiple of 338 and 339 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 339, than apply into the LCM equation.

GCF(338,339) = 1
LCM(338,339) = ( 338 × 339) / 1
LCM(338,339) = 114582 / 1
LCM(338,339) = 114582

Properties of LCM 338 and 339

(i) The LCM of 339 and 338 is associative

LCM of 338 and 339 = LCM of 339 and 338

Related Least Common Multiples of 338

Related Least Common Multiples of 339

Frequently Asked Questions on LCM of 338 and 339

1. What is the LCM of 338 and 339?

Answer: LCM of 338 and 339 is 114582.

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 339?

Answer: Factors of 339 are 1, 3, 113, 339. There are 4 integers that are factors of 339. The greatest factor of 339 is 339.

4. How to Find the LCM of 338 and 339?

Answer:

Least Common Multiple of 338 and 339 = 114582

Step 1: Find the prime factorization of 338

338 = 2 x 13 x 13

Step 2: Find the prime factorization of 339

339 = 3 x 113

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

LCM = 114582 = 2 x 3 x 13 x 13 x 113

Step 4: Therefore, the least common multiple of 338 and 339 is 114582.