Least Common Multiple of 339 and 340

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 340 the smallest integer that is 115260 that is divisible by both numbers.

Least Common Multiple (LCM) of 339 and 340 is 115260.

LCM(339,340) = 115260

LCM of 339 and 340

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

LCM of:
and

Least Common Multiple of 339 and 340

LCM of 339 and 340 is 115260

Least common multiple can be found by multiplying the highest exponent prime factors of 339 and 340. First we will calculate the prime factors of 339 and 340.

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 340


2 340
2 170
5 85
17 17
1

Prime factors of 340 are 2, 5,17. Prime factorization of 340 in exponential form is:

340 = 22×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 339 and 340.

LCM(339,340) = 22×31×51×171×1131
LCM(339,340) = 115260

Factors of 339

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

1, 3, 113, 339

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Least Common Multiple of 339 and 340 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 340, than apply into the LCM equation.

GCF(339,340) = 1
LCM(339,340) = ( 339 × 340) / 1
LCM(339,340) = 115260 / 1
LCM(339,340) = 115260

Properties of LCM 339 and 340

(i) The LCM of 340 and 339 is associative

LCM of 339 and 340 = LCM of 340 and 339

Related Least Common Multiples of 339

Related Least Common Multiples of 340

Frequently Asked Questions on LCM of 339 and 340

1. What is the LCM of 339 and 340?

Answer: LCM of 339 and 340 is 115260.

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 340?

Answer: Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340. There are 12 integers that are factors of 340. The greatest factor of 340 is 340.

4. How to Find the LCM of 339 and 340?

Answer:

Least Common Multiple of 339 and 340 = 115260

Step 1: Find the prime factorization of 339

339 = 3 x 113

Step 2: Find the prime factorization of 340

340 = 2 x 2 x 5 x 17

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

LCM = 115260 = 2 x 2 x 3 x 5 x 17 x 113

Step 4: Therefore, the least common multiple of 339 and 340 is 115260.