Least Common Multiple of 339 and 343

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 343 the smallest integer that is 116277 that is divisible by both numbers.

Least Common Multiple (LCM) of 339 and 343 is 116277.

LCM(339,343) = 116277

LCM of 339 and 343

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

LCM of:
and

Least Common Multiple of 339 and 343

LCM of 339 and 343 is 116277

Least common multiple can be found by multiplying the highest exponent prime factors of 339 and 343. First we will calculate the prime factors of 339 and 343.

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 343


7 343
7 49
7 7
1

Prime factors of 343 are 7. Prime factorization of 343 in exponential form is:

343 = 73

Now multiplying the highest exponent prime factors to calculate the LCM of 339 and 343.

LCM(339,343) = 31×73×1131
LCM(339,343) = 116277

Factors of 339

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

1, 3, 113, 339

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Least Common Multiple of 339 and 343 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 343, than apply into the LCM equation.

GCF(339,343) = 1
LCM(339,343) = ( 339 × 343) / 1
LCM(339,343) = 116277 / 1
LCM(339,343) = 116277

Properties of LCM 339 and 343

(i) The LCM of 343 and 339 is associative

LCM of 339 and 343 = LCM of 343 and 339

Related Least Common Multiples of 339

Related Least Common Multiples of 343

Frequently Asked Questions on LCM of 339 and 343

1. What is the LCM of 339 and 343?

Answer: LCM of 339 and 343 is 116277.

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 343?

Answer: Factors of 343 are 1, 7, 49, 343. There are 4 integers that are factors of 343. The greatest factor of 343 is 343.

4. How to Find the LCM of 339 and 343?

Answer:

Least Common Multiple of 339 and 343 = 116277

Step 1: Find the prime factorization of 339

339 = 3 x 113

Step 2: Find the prime factorization of 343

343 = 7 x 7 x 7

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

LCM = 116277 = 3 x 7 x 7 x 7 x 113

Step 4: Therefore, the least common multiple of 339 and 343 is 116277.