Least Common Multiple of 338 and 341

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 341 the smallest integer that is 115258 that is divisible by both numbers.

Least Common Multiple (LCM) of 338 and 341 is 115258.

LCM(338,341) = 115258

LCM of 338 and 341

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

LCM of:
and

Least Common Multiple of 338 and 341

LCM of 338 and 341 is 115258

Least common multiple can be found by multiplying the highest exponent prime factors of 338 and 341. First we will calculate the prime factors of 338 and 341.

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 341


11 341
31 31
1

Prime factors of 341 are 11,31. Prime factorization of 341 in exponential form is:

341 = 111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 338 and 341.

LCM(338,341) = 21×111×132×311
LCM(338,341) = 115258

Factors of 338

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

1, 2, 13, 26, 169, 338

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Least Common Multiple of 338 and 341 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 341, than apply into the LCM equation.

GCF(338,341) = 1
LCM(338,341) = ( 338 × 341) / 1
LCM(338,341) = 115258 / 1
LCM(338,341) = 115258

Properties of LCM 338 and 341

(i) The LCM of 341 and 338 is associative

LCM of 338 and 341 = LCM of 341 and 338

Related Least Common Multiples of 338

Related Least Common Multiples of 341

Frequently Asked Questions on LCM of 338 and 341

1. What is the LCM of 338 and 341?

Answer: LCM of 338 and 341 is 115258.

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 341?

Answer: Factors of 341 are 1, 11, 31, 341. There are 4 integers that are factors of 341. The greatest factor of 341 is 341.

4. How to Find the LCM of 338 and 341?

Answer:

Least Common Multiple of 338 and 341 = 115258

Step 1: Find the prime factorization of 338

338 = 2 x 13 x 13

Step 2: Find the prime factorization of 341

341 = 11 x 31

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

LCM = 115258 = 2 x 11 x 13 x 13 x 31

Step 4: Therefore, the least common multiple of 338 and 341 is 115258.