Least Common Multiple of 338 and 346

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 346 the smallest integer that is 58474 that is divisible by both numbers.

Least Common Multiple (LCM) of 338 and 346 is 58474.

LCM(338,346) = 58474

LCM of 338 and 346

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

LCM of:
and

Least Common Multiple of 338 and 346

LCM of 338 and 346 is 58474

Least common multiple can be found by multiplying the highest exponent prime factors of 338 and 346. First we will calculate the prime factors of 338 and 346.

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 346


2 346
173 173
1

Prime factors of 346 are 2,173. Prime factorization of 346 in exponential form is:

346 = 21×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 338 and 346.

LCM(338,346) = 21×132×1731
LCM(338,346) = 58474

Factors of 338

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

1, 2, 13, 26, 169, 338

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Least Common Multiple of 338 and 346 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 346, than apply into the LCM equation.

GCF(338,346) = 2
LCM(338,346) = ( 338 × 346) / 2
LCM(338,346) = 116948 / 2
LCM(338,346) = 58474

Properties of LCM 338 and 346

(i) The LCM of 346 and 338 is associative

LCM of 338 and 346 = LCM of 346 and 338

Related Least Common Multiples of 338

Related Least Common Multiples of 346

Frequently Asked Questions on LCM of 338 and 346

1. What is the LCM of 338 and 346?

Answer: LCM of 338 and 346 is 58474.

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 346?

Answer: Factors of 346 are 1, 2, 173, 346. There are 4 integers that are factors of 346. The greatest factor of 346 is 346.

4. How to Find the LCM of 338 and 346?

Answer:

Least Common Multiple of 338 and 346 = 58474

Step 1: Find the prime factorization of 338

338 = 2 x 13 x 13

Step 2: Find the prime factorization of 346

346 = 2 x 173

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

LCM = 58474 = 2 x 13 x 13 x 173

Step 4: Therefore, the least common multiple of 338 and 346 is 58474.