Least Common Multiple of 334 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 334 and 338 the smallest integer that is 56446 that is divisible by both numbers.

Least Common Multiple (LCM) of 334 and 338 is 56446.

LCM(334,338) = 56446

LCM of 334 and 338

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

LCM of:
and

Least Common Multiple of 334 and 338

LCM of 334 and 338 is 56446

Least common multiple can be found by multiplying the highest exponent prime factors of 334 and 338. First we will calculate the prime factors of 334 and 338.

Prime Factorization of 334


2 334
167 167
1

Prime factors of 334 are 2,167. Prime factorization of 334 in exponential form is:

334 = 21×1671

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 334 and 338.

LCM(334,338) = 21×132×1671
LCM(334,338) = 56446

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1, 2, 167, 334

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 334 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 334 and 338, than apply into the LCM equation.

GCF(334,338) = 2
LCM(334,338) = ( 334 × 338) / 2
LCM(334,338) = 112892 / 2
LCM(334,338) = 56446

Properties of LCM 334 and 338

(i) The LCM of 338 and 334 is associative

LCM of 334 and 338 = LCM of 338 and 334

Related Least Common Multiples of 334

Related Least Common Multiples of 338

Frequently Asked Questions on LCM of 334 and 338

1. What is the LCM of 334 and 338?

Answer: LCM of 334 and 338 is 56446.

2. What are the Factors of 334?

Answer: Factors of 334 are 1, 2, 167, 334. There are 4 integers that are factors of 334. The greatest factor of 334 is 334.

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 334 and 338?

Answer:

Least Common Multiple of 334 and 338 = 56446

Step 1: Find the prime factorization of 334

334 = 2 x 167

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 = 56446 = 2 x 13 x 13 x 167

Step 4: Therefore, the least common multiple of 334 and 338 is 56446.