Least Common Multiple of 337 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 337 and 338 the smallest integer that is 113906 that is divisible by both numbers.

Least Common Multiple (LCM) of 337 and 338 is 113906.

LCM(337,338) = 113906

LCM of 337 and 338

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

LCM of:
and

Least Common Multiple of 337 and 338

LCM of 337 and 338 is 113906

Least common multiple can be found by multiplying the highest exponent prime factors of 337 and 338. First we will calculate the prime factors of 337 and 338.

Prime Factorization of 337


337 337
1

Prime factors of 337 are 337. Prime factorization of 337 in exponential form is:

337 = 3371

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 337 and 338.

LCM(337,338) = 21×132×3371
LCM(337,338) = 113906

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1, 337

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 337 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 337 and 338, than apply into the LCM equation.

GCF(337,338) = 1
LCM(337,338) = ( 337 × 338) / 1
LCM(337,338) = 113906 / 1
LCM(337,338) = 113906

Properties of LCM 337 and 338

(i) The LCM of 338 and 337 is associative

LCM of 337 and 338 = LCM of 338 and 337

Related Least Common Multiples of 337

Related Least Common Multiples of 338

Frequently Asked Questions on LCM of 337 and 338

1. What is the LCM of 337 and 338?

Answer: LCM of 337 and 338 is 113906.

2. What are the Factors of 337?

Answer: Factors of 337 are 1, 337. There are 2 integers that are factors of 337. The greatest factor of 337 is 337.

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 337 and 338?

Answer:

Least Common Multiple of 337 and 338 = 113906

Step 1: Find the prime factorization of 337

337 = 337

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 = 113906 = 2 x 13 x 13 x 337

Step 4: Therefore, the least common multiple of 337 and 338 is 113906.