Least Common Multiple of 334 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 334 and 339 the smallest integer that is 113226 that is divisible by both numbers.

Least Common Multiple (LCM) of 334 and 339 is 113226.

LCM(334,339) = 113226

LCM of 334 and 339

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

LCM of:
and

Least Common Multiple of 334 and 339

LCM of 334 and 339 is 113226

Least common multiple can be found by multiplying the highest exponent prime factors of 334 and 339. First we will calculate the prime factors of 334 and 339.

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 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 334 and 339.

LCM(334,339) = 21×31×1131×1671
LCM(334,339) = 113226

Factors of 334

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

1, 2, 167, 334

Factors of 339

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

1, 3, 113, 339

Least Common Multiple of 334 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 334 and 339, than apply into the LCM equation.

GCF(334,339) = 1
LCM(334,339) = ( 334 × 339) / 1
LCM(334,339) = 113226 / 1
LCM(334,339) = 113226

Properties of LCM 334 and 339

(i) The LCM of 339 and 334 is associative

LCM of 334 and 339 = LCM of 339 and 334

Related Least Common Multiples of 334

Related Least Common Multiples of 339

Frequently Asked Questions on LCM of 334 and 339

1. What is the LCM of 334 and 339?

Answer: LCM of 334 and 339 is 113226.

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 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 334 and 339?

Answer:

Least Common Multiple of 334 and 339 = 113226

Step 1: Find the prime factorization of 334

334 = 2 x 167

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 = 113226 = 2 x 3 x 113 x 167

Step 4: Therefore, the least common multiple of 334 and 339 is 113226.