Least Common Multiple of 339 and 344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 339 and 344 the smallest integer that is 116616 that is divisible by both numbers.

Least Common Multiple (LCM) of 339 and 344 is 116616.

LCM(339,344) = 116616

LCM of 339 and 344

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

LCM of:
and

Least Common Multiple of 339 and 344

LCM of 339 and 344 is 116616

Least common multiple can be found by multiplying the highest exponent prime factors of 339 and 344. First we will calculate the prime factors of 339 and 344.

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

Prime Factorization of 344


2 344
2 172
2 86
43 43
1

Prime factors of 344 are 2,43. Prime factorization of 344 in exponential form is:

344 = 23×431

Now multiplying the highest exponent prime factors to calculate the LCM of 339 and 344.

LCM(339,344) = 23×31×431×1131
LCM(339,344) = 116616

Factors of 339

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

1, 3, 113, 339

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Least Common Multiple of 339 and 344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 339 and 344, than apply into the LCM equation.

GCF(339,344) = 1
LCM(339,344) = ( 339 × 344) / 1
LCM(339,344) = 116616 / 1
LCM(339,344) = 116616

Properties of LCM 339 and 344

(i) The LCM of 344 and 339 is associative

LCM of 339 and 344 = LCM of 344 and 339

Related Least Common Multiples of 339

Related Least Common Multiples of 344

Frequently Asked Questions on LCM of 339 and 344

1. What is the LCM of 339 and 344?

Answer: LCM of 339 and 344 is 116616.

2. 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.

3. What are the Factors of 344?

Answer: Factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344. There are 8 integers that are factors of 344. The greatest factor of 344 is 344.

4. How to Find the LCM of 339 and 344?

Answer:

Least Common Multiple of 339 and 344 = 116616

Step 1: Find the prime factorization of 339

339 = 3 x 113

Step 2: Find the prime factorization of 344

344 = 2 x 2 x 2 x 43

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

LCM = 116616 = 2 x 2 x 2 x 3 x 43 x 113

Step 4: Therefore, the least common multiple of 339 and 344 is 116616.