Least Common Multiple of 336 and 339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 336 and 339 the smallest integer that is 37968 that is divisible by both numbers.

Least Common Multiple (LCM) of 336 and 339 is 37968.

LCM(336,339) = 37968

LCM of 336 and 339

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

LCM of:
and

Least Common Multiple of 336 and 339

LCM of 336 and 339 is 37968

Least common multiple can be found by multiplying the highest exponent prime factors of 336 and 339. First we will calculate the prime factors of 336 and 339.

Prime Factorization of 336


2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 336 are 2, 3,7. Prime factorization of 336 in exponential form is:

336 = 24×31×71

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

Now multiplying the highest exponent prime factors to calculate the LCM of 336 and 339.

LCM(336,339) = 24×31×71×1131
LCM(336,339) = 37968

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Factors of 339

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

1, 3, 113, 339

Least Common Multiple of 336 and 339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 336 and 339, than apply into the LCM equation.

GCF(336,339) = 3
LCM(336,339) = ( 336 × 339) / 3
LCM(336,339) = 113904 / 3
LCM(336,339) = 37968

Properties of LCM 336 and 339

(i) The LCM of 339 and 336 is associative

LCM of 336 and 339 = LCM of 339 and 336

Related Least Common Multiples of 336

Related Least Common Multiples of 339

Frequently Asked Questions on LCM of 336 and 339

1. What is the LCM of 336 and 339?

Answer: LCM of 336 and 339 is 37968.

2. What are the Factors of 336?

Answer: Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. There are 20 integers that are factors of 336. The greatest factor of 336 is 336.

3. 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.

4. How to Find the LCM of 336 and 339?

Answer:

Least Common Multiple of 336 and 339 = 37968

Step 1: Find the prime factorization of 336

336 = 2 x 2 x 2 x 2 x 3 x 7

Step 2: Find the prime factorization of 339

339 = 3 x 113

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

LCM = 37968 = 2 x 2 x 2 x 2 x 3 x 7 x 113

Step 4: Therefore, the least common multiple of 336 and 339 is 37968.