Least Common Multiple of 331 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 331 and 339 the smallest integer that is 112209 that is divisible by both numbers.

Least Common Multiple (LCM) of 331 and 339 is 112209.

LCM(331,339) = 112209

LCM of 331 and 339

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

LCM of:
and

Least Common Multiple of 331 and 339

LCM of 331 and 339 is 112209

Least common multiple can be found by multiplying the highest exponent prime factors of 331 and 339. First we will calculate the prime factors of 331 and 339.

Prime Factorization of 331


331 331
1

Prime factors of 331 are 331. Prime factorization of 331 in exponential form is:

331 = 3311

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 331 and 339.

LCM(331,339) = 31×1131×3311
LCM(331,339) = 112209

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1, 331

Factors of 339

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

1, 3, 113, 339

Least Common Multiple of 331 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 331 and 339, than apply into the LCM equation.

GCF(331,339) = 1
LCM(331,339) = ( 331 × 339) / 1
LCM(331,339) = 112209 / 1
LCM(331,339) = 112209

Properties of LCM 331 and 339

(i) The LCM of 339 and 331 is associative

LCM of 331 and 339 = LCM of 339 and 331

Related Least Common Multiples of 331

Related Least Common Multiples of 339

Frequently Asked Questions on LCM of 331 and 339

1. What is the LCM of 331 and 339?

Answer: LCM of 331 and 339 is 112209.

2. What are the Factors of 331?

Answer: Factors of 331 are 1, 331. There are 2 integers that are factors of 331. The greatest factor of 331 is 331.

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 331 and 339?

Answer:

Least Common Multiple of 331 and 339 = 112209

Step 1: Find the prime factorization of 331

331 = 331

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 = 112209 = 3 x 113 x 331

Step 4: Therefore, the least common multiple of 331 and 339 is 112209.