Least Common Multiple of 339 and 345

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 345 the smallest integer that is 38985 that is divisible by both numbers.

Least Common Multiple (LCM) of 339 and 345 is 38985.

LCM(339,345) = 38985

LCM of 339 and 345

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

LCM of:
and

Least Common Multiple of 339 and 345

LCM of 339 and 345 is 38985

Least common multiple can be found by multiplying the highest exponent prime factors of 339 and 345. First we will calculate the prime factors of 339 and 345.

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 345


3 345
5 115
23 23
1

Prime factors of 345 are 3, 5,23. Prime factorization of 345 in exponential form is:

345 = 31×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 339 and 345.

LCM(339,345) = 31×51×231×1131
LCM(339,345) = 38985

Factors of 339

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

1, 3, 113, 339

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Least Common Multiple of 339 and 345 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 345, than apply into the LCM equation.

GCF(339,345) = 3
LCM(339,345) = ( 339 × 345) / 3
LCM(339,345) = 116955 / 3
LCM(339,345) = 38985

Properties of LCM 339 and 345

(i) The LCM of 345 and 339 is associative

LCM of 339 and 345 = LCM of 345 and 339

Related Least Common Multiples of 339

Related Least Common Multiples of 345

Frequently Asked Questions on LCM of 339 and 345

1. What is the LCM of 339 and 345?

Answer: LCM of 339 and 345 is 38985.

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 345?

Answer: Factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345. There are 8 integers that are factors of 345. The greatest factor of 345 is 345.

4. How to Find the LCM of 339 and 345?

Answer:

Least Common Multiple of 339 and 345 = 38985

Step 1: Find the prime factorization of 339

339 = 3 x 113

Step 2: Find the prime factorization of 345

345 = 3 x 5 x 23

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

LCM = 38985 = 3 x 5 x 23 x 113

Step 4: Therefore, the least common multiple of 339 and 345 is 38985.