Least Common Multiple of 339 and 342

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 342 the smallest integer that is 38646 that is divisible by both numbers.

Least Common Multiple (LCM) of 339 and 342 is 38646.

LCM(339,342) = 38646

LCM of 339 and 342

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

LCM of:
and

Least Common Multiple of 339 and 342

LCM of 339 and 342 is 38646

Least common multiple can be found by multiplying the highest exponent prime factors of 339 and 342. First we will calculate the prime factors of 339 and 342.

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 342


2 342
3 171
3 57
19 19
1

Prime factors of 342 are 2, 3,19. Prime factorization of 342 in exponential form is:

342 = 21×32×191

Now multiplying the highest exponent prime factors to calculate the LCM of 339 and 342.

LCM(339,342) = 21×32×191×1131
LCM(339,342) = 38646

Factors of 339

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

1, 3, 113, 339

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Least Common Multiple of 339 and 342 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 342, than apply into the LCM equation.

GCF(339,342) = 3
LCM(339,342) = ( 339 × 342) / 3
LCM(339,342) = 115938 / 3
LCM(339,342) = 38646

Properties of LCM 339 and 342

(i) The LCM of 342 and 339 is associative

LCM of 339 and 342 = LCM of 342 and 339

Related Least Common Multiples of 339

Related Least Common Multiples of 342

Frequently Asked Questions on LCM of 339 and 342

1. What is the LCM of 339 and 342?

Answer: LCM of 339 and 342 is 38646.

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 342?

Answer: Factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342. There are 12 integers that are factors of 342. The greatest factor of 342 is 342.

4. How to Find the LCM of 339 and 342?

Answer:

Least Common Multiple of 339 and 342 = 38646

Step 1: Find the prime factorization of 339

339 = 3 x 113

Step 2: Find the prime factorization of 342

342 = 2 x 3 x 3 x 19

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

LCM = 38646 = 2 x 3 x 3 x 19 x 113

Step 4: Therefore, the least common multiple of 339 and 342 is 38646.